# Index > People > Academic Members > Quanshui ZHENG

## Quanshui ZHENG

2010-07-28Quanshui ZHENG Professor

Scientific Profile

Currently Professor Zheng's research group is mainly interested in understanding, finding or inventing nano/microscale structured materials, surfaces, and devices that have novel properties in mechanics, physics, and/or biology through multidisciplinary study and cooperation via theory-computation-experiment interaction approach. Some examples are gigahertz oscillators made from multiwalled carbon nanotubes or graphite nanoflakes, supertransportations of nanostructured materials and surfaces, and the cell mechanism of tree height limit. The group is also generally interested in understanding and formulating fundamental, invariant, and/or unified mechanical properties of heterogeneous and anisotropic materials.

Research Interests

Nanomechanics, nano-devices, micro/nano-bionics; mechanics of heterogeneous materials, damage mechanics; mechanics of anisotropic behavior, theory of representations for tensors and tensor functions.

Recent Publications, Presentations and Events

Review Article

·Zheng QS: Theory of representations for tensor functions — A unified invariant approach to constitutive equations. Applied Mechanics Review 47 (1994), 545-587.

(1) Nanomechanics, nanodevices, micro/nano-bionics

·Xu ZP, Wang LF, Zheng QS*: Enhanced mechanical properties of prestressed multiwalled carbon nanotubes, Small 4 (2008), 733-737

·Zheng QS*, Jiang B, Liu SP, Weng YX, Lu L, Xue QK, Zhu J, Jiang Q, Wang S, Peng LM: Self-Retracting Motion of Graphite Microflakes, Physical Review Letters 100 (2008), 067205

·Xu ZP, Zheng QS*, Jiang Q, Ma CC, Zhao Y, Chen GH, Gao H, Ren GX: Trans-phonon effects in ultrafast nano-devices. Nanotechnology 19 (2008), 255705

·Wang LF, Zheng QS*, Liu JZ, Jiang Q: Size dependence of the thin-shell model for carbon nanotubes. Physical Review Letters 95 (2005), 105501

·Zheng QS*, Yu Y, Zhao ZH: Effects of Hydraulic Pressure on the Stability and Transition of Wetting Modes of Superhydrophobic Surfaces, Langmuir 21 (2005), 12207

·Liu H, Li SH, Zhai J, Li HJ, Zheng QS, Jiang L, Zhu DB: Self-assembly of large-scale micropatterns on aligned carbon nanotube films. Angewandte Chemie-International Edition 43 (2004), 1146-1149.

·Guo WL, Guo YF, Gao H, Zheng QS, Zhong WY: Energy dissipation in gigahertz oscillators from multiwalled carbon nanotubes. Physical Review Letters 91 (2003), 125501.

·Zheng QS*, Jiang Q: Multiwalled carbon nanotubes as gigahertz oscillators. Physical Review Letters 88 (2002), article 045503.

·Liu Z, Zheng QS*, Jiang Q: Effect of a rippling mode on resonances of carbon nanotubes. Physical Review Letters 86 (2001), 4843-4846.

(2) Mechanics of Heterogeneous Materials and Micromechanics

·Zou WN, He QC, Huang MJ, Zheng QS*: Eshelby’s problem of non-elliptical inclusions. Journal of the Mechanics and Physics of Solids 58 (2010), online valid

·Zheng QS*, Zhao ZH, Du DX: Irreducible structure, symmetry and average of Eshelby’s tensor ﬁelds in isotropic elasticity, Journal of the Mechanics and Physics of Solids 54 (2006), 368–383; see also 58 (2010), 103-104

·Liu JZ, Zheng QS*, Wang LF, Jiang Q: Mechanical properties of single-walled carbon nanotube bundles as bulk materials. Journal of the Mechanics and Physics of Solids 53 (2005), 123-142.

·Ren Z-Y, Zheng QS*: A quantitative study of minimum sizes of representative volume elements of cubic polycrystals – numerical experiments. Journal of the Mechanics and Physics of Solids 50(4) (2002), 881-893.

·Zheng QS*, Du D-X: An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution. Journal of the Mechanics and Physics of Solids 49(11) (2001), 2765-2788.

·Zheng QS*, Chen T: Generalized plane deformation of electromagnetic thermoelastic solids. Parts I & II. Proceedings of the Royal Society of London A 455 (1999), 1283-1299; 1301-1314.

·Zheng QS*, Collins IF: The relationship between damage variables and their evolution laws and microstructural and physical properties. Proceedings of the Royal Society of London A 454 (1998), 1469-1498

·Zheng QS*, Hwang K C: Two-dimensional elastic compliance of materials with holes and microcracks. Proceedings of the Royal Society of London A 453 (1997), 353-364

·Zheng QS, Hwang K C: Reduced dependence of defect compliance on matrix and inclusion elastic properties in two-dimensional elasticity. Proceedings of the Royal Society of London A 452 (1996), 2493-2507.

·Chen M-X, Zheng QS, Yang W: A micromechanical model of texture induced orthotropy in planar crystalline polymers. Journal of the Mechanics and Physics of Solids 44(2) (1996), 157-178.

(3) Theory of Representations of Tensor Functions & Rational Mechanics

·Zou WN, Zheng QS*: Maxwell's multipole representation of traceless symmetric tensors and its application to functions of high order tensors. Proceedings of the Royal Society of London A 459 (2003), 527-538.

·Zheng QS*, Betten J: On the tensor function representations of 2nd-order and 4th-order tensors: Part I. ZAMM 75(4) (1995), 269-281.

·Zheng QS*, Boehler JP: The description, classification, and reality of material and physical symmetries. Acta Mechanica 102 (1994), 73-89.

·Zheng QS*: Two-dimensional tensor function representations for all kinds of material symmetry. Proceedings of the Royal Society of London A 443 (1993), 127-138.

·Zheng QS*, Spencer AJM: On the canonical representations for Kronecker power of orthogonal tensors with applications to material symmetry problems. International Journal of Engineering Sciences 31 (1993), 617-635.

·Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Parts I – V. International Journal of Engineering Sciences 31 (1993), 1399-1409; 1411-1423; 1425-1433; 1435-1443; 1445-1453.

·Zheng QS*, Hwang K C: Cauchy's mean rotation. Chinese Science Bulletin, 34(11) (1989), 897-901; see also Zheng QS, Hwang K C: On Cauchy's mean rotation. ASME Journal of Applied Mechanics 59 (1992), 405-410.

2、Full List of Articles in Technical Journals

[129] Huang MJ, Zou WN, Zheng QS*: Explicit expression of Eshelby tensor for arbitrary weakly non-circular inclusion in two-dimensional elasticity, International Journal of Engineering Science 47 (2009), 1240-1250 [PDF]

[128] Neild, A ; Ng, TW ; Zheng, QS: Controlled driven oscillations of double-walled carbon nanotubes, EPL 87 (1) (2009), 16002

[127] Zeng DJ, Wei XL, Liu JZ, Chen Q, Li XD, Zheng QS*: Tunable resonant frequencies for determining Young's moduli of nanowires, Journal of Applied Physics 105 (11) (2009), 114311

[126] Deng F, Zheng QS*: Interaction Models for Effective Thermal and Electric Conductivities of Carbon Nanotube Composites, Acta Mechanica Solida Sinica, 22 (1) (2009), 1-17

[125] Zheng QS*, Yu Y, Feng XQ: The role of adaptive-deformation of water strider leg in its walking on water, Journal of Adhesion Science and Technology 23 (2009), 493–501

[124] Lv Cunjing, Yin Yajun, Zheng QS*: Nonlinear effects of line tension in adhesion of small droplets, Applied Mathematics and Mechanics-English Editition 29(10) (2008), 1251-1262

[123] Xu ZP, Wang LF, Zheng QS*: Enhanced Mechanical Properties of Pre-stressed Multiwalled Carbon Nanotubes, Small 4 (2008), No. 6, 733–737

[122] Quang H Le, He QC, Zheng QS: Some general properties of Eshelby’s tensor fields in transport phenomena and anti-plane elasticity, International Journal of Solids and Structures 45 (2008), 3845–3857

[121] Xu ZP, Zheng QS*, Jiang Q, Ma CC, Zhao Y, Chen GH, Gao H, Ren GX: Trans-phonon effects in ultrafast nano-devices. Nanotechnology 19 (2008), 255705

[120] Zheng QS, Suo ZG, Special Issue Honoring K.C. Hwang - Fracture, Plasticity, Micro- and Nanomechanics, Special Issue Honoring K.C. Hwang, International Journal of Solids and Structures 45(13) (2008), 3623-3626

[119] Deng F, Zheng QS*: An analytical model of effective electrical conductivity of carbon nanotube composites, Applied Physics Letters 92 (2008), 071902.

[118] Zheng QS*, Jiang B, Liu SP, Weng YX, Lu L, Xue QK, Zhu J, Jiang Q, Wang S, Peng LM: Self-Retracting Motion of Graphite Microflakes, Physical Review Letters 100 (2008), 067205.

[117] Yu Y, Guo M, Li XD, Zheng QS*: Meniscus-climbing behavior and its minimum free-energy mechanism. Langmuir 23 (2007), 10546-10550.

[116] Zeng DJ, Zheng QS*: Resonant frequency-based method for measuring the Young’s moduli of nanowires. Physical Review B 76 (2007), 075417.

[115] Wang M, Zhang X, Zheng QS, Liu Y: A membrane-spring model for carbon nanotubes with van der Waals interaction between non-bonded atoms. Nanotechnology 18 (37) (2007), 375706.

[114] Yu Y, Zhao ZH, Zheng QS*: Mechanical and superhydrophobic stabilities of two-scale surfacial structure of lotus leaves. Langmuir 23 (2007), 8212-8216.

[113] XU ZP, Zheng QS* Chen GH: Thermally driven large-amplitude fluctuations in carbon-nanotube-based devices: Molecular dynamics simulations. Physical Review B 75 (2007), 195445.

[112] Xu ZP, Zheng QS* Chen GH: Elementary building blocks of grapheme nanoribbon based electronic devices. Applied Physics Letters 90 (2007), 223115.

[111] Feng XQ, Gao XF, Wu ZN, Jiang L, Zheng QS*: Superior water repellency of water strider legs with hierarchical structures: Experiments and analysis. Langmuir 23 (2007), 4892-4896

[110] Wang LF, Zheng QS*: Extreme anisotropy of graphite and single-walled carbon nanotube bundles. Applied Physics Letters 90 (2007), 153113

[109] Deng F, Zheng QS*, Wang LF, Nan CW: Effects of anisotropy, aspect ratio, and nonstraightness of carbon nanotubes on thermal conductivity of carbon nanotube composites, Applied Physics Letters 90 (2007), 02191

[108] He QC, Zheng QS: Decomposition of large incompressible deformations. Journal of Elasticity 85 (2006), 175–187.

[107] Xia QP, Dan W, Xu ZP, Zheng QS*: Estimate of effective properties of metal particle tape based on micromechanics. Chinese Journal of Theoretical and Applied Mecahnics 38(3) (2006), 323-329 [in Chinese].

[106] Zheng QS*, Zhao ZH, Du DX: Irreducible structure, symmetry and average of Eshelby’s tensor fields in isotropic elasticity, Journal of the Mechanics and Physics of Solids 54 (2006), 368-383

[105] Zhao Y, Ma CC, Wong LH, Chen GH, Xu ZP, Zheng QS, Jiang Q, Chwang AT: Energy exchanges in carbon nanotubes oscillators. Nanotechnology 17 (2006), 1032-1035.

[104] Zheng QS*, Yu Y, Zhao ZH, Effects of Hydraulic Pressure on the Stability and Transition of Wetting Modes of Superhydrophobic Surfaces, Langmuir 21 (2005), 12207

[103] Wang LF, Zheng QS*, Liu JZ, Jiang Q: Size Dependence of the Thin-Shell Model for Carbon Nanotubes, Physical Review Letters 95 (2005), 105501.

[102] Liu SP, Zhou F, Jin AZ, Yang HF, Ma YJ, Li H, Gu CZ, Lu L, Jiang B, Zheng QS, Wang S, Peng LM, Fabrication of graphite nano-structures, Acta Physica Sinica 54 (2005), 4251

[101] Liu JZ, Zheng QS*, Wang LF, Jiang Q: Mechanical properties of single-walled carbon nanotube bundles as bulk materials. Journal of the Mechanics and Physics of Solids 53(1) (2005), 123-142.

[100] Ren ZY, Zheng QS*: Effects of grain sizes, shapes, and distribution on minimum sizes of representative volume elements of cubic polycrystals. Mechanics of Materials 36(12) (2004), 1217–1229.

[99] Liu H, Li SH, Zhai J, Li HJ, Zheng QS, Jiang L, Zhu DB: Self-assembly of large-scale micropatterns on aligned carbon nanotube films. Angewandte Chemie-International Edition 43(9) (2004), 1146-1149.

[98] Zheng QS*, Zhao ZH: Green's function and Eshelby's fields in couple-stress elasticity. International Journal of Multiscale Computational Engineering 2(1) (2004), 5-27.

[97] Guo WL, Guo YF, Gao H, Zheng QS, Zhong WY: Energy dissipation in gigahertz oscillators from multiwalled carbon nanotubes. Physical Review Letters 91(12) (2003), article 125501.

[96] Zheng QS*: Irreducible function bases for simple fluids and liquid crystal films -- A new derivation. ZAMP 54 (2003), 478-483.

[95] Guo F.-L., Zheng QS*: The completeness and a new derivation of the Stroh formalism of anisotropic linear elasticity. Acta Mechanica Sinica 19(3) (2003), 270-275.

[94] Zou WN, Zheng QS*: Maxwell's multipole representation of traceless symmetric tensors and its application to functions of high order tensors. Proceedings of the Royal Society of London A 459 (2003), 527-538.

[93] Liu JZ, Zheng QS*, Jiang Q: Effect of bending instabilities on the measurements of mechanical properties of multiwalled carbon nanotubes. Physical Review B. 67 (2003), article 075414.

[92] Huo B, Zheng QS*: Effect of dentin tubules on the mechanical properties of dentin. Part III: Numerical analysis. Acta Mechanica Sinica. 18(6) (2002), 629-637.

[91] Zheng QS*: Constitutive relations of linear elastic materials under various internal constraints. Acta Mechanica 158 (2002), 97-103.

[90] Du D-X, Zheng QS*: A further exploration of the interaction direct derivative IDD estimate for the effective properties of multiphase composites taking into account inclusion distribution. Acta Mechanica, 157(1-4) (2002), 61-80.

[89] Zhao H-J, Zhuang Z, Zheng QS: Test and simulation for large deformed torsion and plastic hardening. Acta Mechanica Sinica 34(5) (2002), 804-811 [in Chinese].

[88] Zheng QS*, Liu JZ, Jiang Q: Excess vand der Waals interaction energy of a multiwalled carbon nanobube with an extruded core and the induced core oscillation. Physical Review B 65 (2002), article 245409.

[87] Ren Z-Y, Zheng QS*: A quantitative study of minimum sizes of representative volume elements of cubic polycrystals – numerical experiments. Journal of the Mechanics and Physics of Solids 50(4) (2002), 881-893.

[86] Zheng QS, Liu Y: Prediction of the detwinning anisotropy in textured NiTi shape memory alloy. Philosophical Magazine A 82 (4) (2002): 665-683 .

[85] Zheng QS*, Jiang Q: Multiwalled carbon nanotubes as gigahertz oscillators. Physical Reviews Letter 88(4) (2002), article 045503.

[84] Zheng QS*, Chen T: New perspective on Poisson's ratios of elastic solids. Acta Mechanica 150 (3-4) (2001), 191-195.

[83] Spencer AJM, Zheng QS: Jean-Paul Boehler: 1942-1998. Journal of the Mechanics and Physics of Solids 49(11) (2001), 2455-2458.

[82] Zheng QS*, Du D-X: An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution. Journal of the Mechanics and Physics of Solids 49(11) (2001), 2765-2788.

[81] Zheng QS*, Fu Y-B: Orientation distribution functions for microstructures of heterogeneous materials: Part II-- Crystal distribution functions and irreducible tensors restricted by various material symmetries. Applied Mathematics and Mechanics 22(8) (2001), 885-993.

[80] Zheng QS*, Zou W-N: Orientation distribution functions for microstructures of heterogeneous materials: Part I-- Directional distribution functions and irreducible tensors. Applied Mathematics and Mechanics 22(8) (2001), 865-884.

[79] Zou W-N, Zheng QS*, Rychlewski J, Du D-X: Orthogonal irreducible decompositions of tensors of high orders. Mathematics and Mechanics of Solids 6(3) (2001), 249-267.

[78] Liu Z, Zheng QS*, Jiang Q: Effect of a rippling mode on resonances of carbon nanotubes. Physical Review Letters 86(21) (2001), 4843-4846.

[77] Guo X-H, Hu N, Zheng QS, Zan Q-F, Wang C-G, Huang Y: A numercial simulation and experimental study on toughening design of multiplyer ceramic. Journal of Chinese Ceramic Society 28 (3) (2000), 234-239 [in Chinese].

[76] Losilla G, Boehler J-P, Zheng QS*: A generally anisotropic hardening model for big offset-strain yield stresses. Acta Mechanica 144(3-4) (2000), 169-183.

[75] Huo B, Zheng QS*, Zhang Q, Wang J-D: Effect of dentin tubules on the mechanical properties of dentin. Part II: Experimental study. Acta Mechanica Sinica 16(1) (2000), 75-82.

[74] Zheng QS*, Zou W-N: Irreducible decomposition of physical tensors of high orders. Journal of Engineering Mathematics 37(1-3) (2000), 273-288.

[73] Chen T, Zheng QS: Universal connections of elastic fibrous composites: Some new results. International Journal of Solids and Structures 37(18) (2000), 2591-2602.

[72] Zheng QS*, He Q-C, Curnier A: Simple shear decomposition of the deformation gradient. Acta Mechanica 140(3-4) (2000), 131-147.

[71] Zheng QS*: A supplement to "Discussion about the scalar invariants of representation theory for tensor functions". Acta Mechanica Sinica 31(4) (1999), 510-511 [in Chinese].

[70] Huo B, Zheng QS*, Huang Y: A note on the effect of surface energy and void size to void growth. European Journal of Mechanics: A/Solids 18(6) (1999), 987-994.

[69] Wen M, Zheng QS*, Du D-X: Some basic problems in numerically simulating effective properties and local fields of composite materials. Acta Mechanica Solida, 12(4) (1999), 328-339.

[68] Huo B, Zheng QS*: Effect of dentin tubules on the mechanical properties of dentin. Part I: Stress-strain relations and strength criterion. Acta Mechanica Sinica 15(4) (1999), 355-365.

[67] Du D-X, Zheng QS*: A note on Cauchy-Voigt dispute of independent constants in anisotropic elastic Hooke's law. Mechanics Research Communications 26(3) (1999), 295-300.

[66] Zheng QS*, Chen T: Generalized plane deformation of electromagnetic thermoelastic solids. II: Further results in invariance shifts and reduced dependences. Proceedings of the Royal Society of London A455 (1999), 1301-1314.

[65] Zheng QS*, Chen T: Generalized plane deformation of electromagnetic thermoelastic solids. I: Correspondence and invariance shifts. Proceedings of the Royal Society of London A455 (1999), 1283-1299.

[64] Gao Y-X, Zheng QS*, Yu S-W: Microscopic analysis and invariant description of the effective elastic properties of damaged solid — A general theoretic model accounting for interaction of micro-defects. Acta Mechanica Sinica 30(5) (1998), 552-562 [in Chinese].

[63] Gao Y-X, Yu S-W, Zheng QS*, Yang W: The effective toughness of microcracked bodies. Acta Mech Sinica 30(1) (1998), 109-115 [in Chinese].

[62] Huang Z-X, Zheng QS*: Effects of the surface energy on the lattice contraction and eigen-frequency of a nano-grain. Acta Mechanica Sinica 30(2) (1998), 247-251 [in Chinese].

[61] Yang W, Chen M-X, Zheng QS: Constitutive modeling of aggregates with evolving inextensible constrains. International Journal of Mechanical Science 40 (2-3) (1998), 139-146.

[60] Zheng QS*, Du D-X: Closed-form interacting solutions for overall elastic moduli of composite materials with multi-phase inclusions, holes, and microcracks. Key Engineering Materials 145-149 (1998), 479-488.

[59] Chen M-X, Yang W, Zheng QS: Simulation of crack tip superblunting in semi-crystalline polymers. Journal of the Mechanics and Physics of Solids 46(2) (1998), 337-356.

[58] Zheng QS*, Collins IF: The relationship between damage variables and their evolution laws and microstructural and physical properties. Proceedings of the Royal Society of London A 454 (1998), 1469-1498.

[57] Du D-X, Zheng QS*, Gao Y-X: Consistency between independence theorems and generalized self-consistent method. Acta Mechanica Sinica 13(4) (1997), 355-365.

[56] Zheng QS*, Hwang K C: Two-dimensional elastic compliance of materials with holes and microcracks. Proceedings of Royal Society of London A 453 (1997), 353-364.

[55] Fu Y-B, Zheng QS: Nonlinear travelling waves in a neo-Hookean plate subjected to a simple shear. Mathematics and Mechanics of Solids 2 (1997), 27-48.

[54] Zheng QS*: A unified invariant description of micromechanically-based effective elastic properties of two-dimensional damaged solids. Mechanics of Materials 25(4) (1997), 273-289.

[53] Gao Y-X, Zheng QS, Yu S-W: Interactors and a third-order interacting model for effective elastic properties of damaged solids. Tsinghua Science & Technology 2(2) (1997), 633-640.

[52] Zheng QS*, Betten J: The formulation of elastic and plastic responses for cubic crystals. Applied Mechanics and Engineering 2(2) (1997), 171-186.

[51] Zheng QS*: On tensor functions of second-order tensors and vectors under n-gonal classes. ZAMM 77(8) (1997), 595-608.

[50] Gao Y-X, Zheng QS, Liu T-Q, Yu S-W: Micromechanical analysis on the interaction among circular micro-holes and their arrangement. Journal of Inner Mongolia Polytechnic University 16(3) (1997), 127-132 [in Chinese].

[49] Du D-X, Zheng QS*: Revised subspace variational principle and it’s applications to determine shear coefficients of beams. Acta Mechanica solida Sinica 17(4) (1996), 348-352 [in Chinese].

[48] Zheng QS*, Fang H-Y: Anisotropic effects of quasi-isotropic composite (I) —Modelling. Applied Mathematics and Mechanics (English Edi.) 17(10) (1996), 923-931.

[47] Fang H-Y, Zheng QS*: Anisotropic effects of quasi-isotropic composite (II) — Applications and Micro-mechanical analysis. Applied Mathematics and Mechanics (English Edi.) 17(10) (1996), 933-938.

[46] Zheng QS*: Quasi-principal axis method in finite deformation. Applied Mathematics and Mechanics (English Edi.) 17(10) (1996), 909-921.

[45] Gao Y-X, Zheng QS, Yu S-W: Double-scalar description of isotropic damage. Acta Mechanica Sinica 28(5) (1996), 542-549 [in Chinese].

[44] Chen M-X, Yang W, Zheng QS: Nonlinear evolution of aggregates with inextensible constrains. Commuications in Nonlinear Science & Numerical Simulation 1(3) (1996), 8-12.

[43] He Q-C, Zheng QS: On the symmetries of 2D elastic and hyperelastic tensors. Journal of Elasticity 43(3) (1996), 203-225.

[42] Zheng QS*, Betten J: On damage effective stress and equivalence hypotheses. International Journal of Damage Mechanics 5 (1996), 219-240.

[41] Zheng QS*, Hwang K C: Reduced dependence of defect compliance on matrix and inclusion elastic properties in two-dimensional elasticity. Proceedings of Royal Society of London A 452 (1996), 2493-2507.

[40] Chen M-X, Zheng QS, Yang W: A micromechanical model of texture induced orthotropy in planar crystalline polymers. Journal of the Mechanics and Physics of Solids 44(2) (1996), 157-178.

[39] Zheng QS*: Two-dimensional tensor function representations involving third-order tensors. Archive of Mechanics 48(4) (1996), 659-673.

[38] Chen M-X, Yang W, Zheng QS: Planar texture evolution and plastic response in crystalline polymers. Acta Mechanica Sinica 27(6) (1995), 699-711 [in Chinese].

[37] Zheng QS*, Betten J: On the tensor function representations of 2nd-order and 4th-order tensors: Part I. ZAMM 75(4) (1995), 269-281.

[36] Zheng QS*, Betten J: The formulation of constitutive equations for fibre-reinforced composites in plane problems: Part II. Archive of Applied Mechanics 65 (1995), 161-177.

[35] Zheng QS*, Boehler JP: Tensor function representations as applied to formulating constitutive laws for clinotropic materials. Acta Mechanica Sinica 10(4) (1994), 336-348.

[34] Zheng QS*, Hwang K C, Betten J: On the mean rotation tensors. International Journal of Solids and Structures 31(22) (1994), 3153-3173.

[33] Zheng QS*: A note on representation for isotropic functions of a 4th-order tensor in 2-dimensional space. ZAMM 74(8) (1994), 357-359.

[32] Zheng QS*, Boehler JP: The description, classification, and reality of material and physical symmetries. Acta Mechanica 102 (1994), 73-89.

[31] Zheng QS*: Two-dimensional tensor function representations for all kinds of material symmetry. Proceedings of the Royal Society of London A 443 (1993), 127-138.

[30] Xiong H-E, Zheng QS: An approach to approximate analysis of deformation and strain. Acta Mechanica Solida Sinica 6 (1993), 261-273.

[29] Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Part V — The irreducibility of the representations for three dimensional orthotropic functions and the summary. International Journal of Engineering Science 31 (1993), 1445-1453.

[28] Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Part IV — The representations for three dimensional orthotropic functions. International Journal of Engineering Science 31 (1993), 1435-1443.

[27] Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Part III — The irreducibility of the representations for three dimensional transversely isotropic functions. International Journal of Engineering Science 31 (1993), 1425-1433.

[26] Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Part II — The representations for three dimensional transversely isotropic functions. International Journal of Engineering Science 31, 1411-1423; see also: Zheng QS* (1994): On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors — Part II, Corrrigondum. International Journal of Engineering Science 32 (1993), 719.

[25] Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Part I — Two dimensional orthotropic and relative isotropic functions and three dimensional relative isotropic functions. International Journal of Engineering Science 31 (1993), 1399-1409.

[24] Zheng QS*: On the representations for isotropic vector-valued, symmetric tensor-valued and skew-symmetric tensor-valued functions. International Journal of Engineering Science 31(7) (1993), 1013-1024.

[23] Zheng QS*, Spencer AJM: Tensors which characterize anisotropies. International Journal of Engineering Science 31(5) (1993), 679-693.

[22] Zheng QS*: On Cauchy’s mean rotation - Closure. ASME Journla of Applied Mechanics 60 (1993), 252-253.

[21] Zheng QS*, Spencer AJM: On the canonical representations for Kronecker power of orthogonal tensors with applications to material symmetry problems. International Journal of Engineering Science 31(4) (1993), 617-635.

[20] Zheng QS*, Yang D-P, Song G-Q: Subspace variational principle of rods and shells. Applied Mathematics and Mechanics (English Edi.) 13(11) (1992), 1023-1030.

[19] Zheng QS*, Betten J, Spencer AJM: The formulation of constitutive equations for fibre-reinforced composites in plane problems: Part I. Archive of Applied Mechanics 62 (1992), 530-543.

[18] Zheng QS*, Hwang K C: On Cauchy's mean rotation. ASME Journla of Applied Mechanics. 59 (1992), 405-410.

[17] Zheng QS*, Yang D-P, Song G-Q: Structure of rod and shell theories in Hilbert space. Applied Mathematics and Mechanics (English Edi.) 13(5) (1992), 445-459.

[16] Zheng QS*: On the generalization of constitutive laws from their arotational forms. Acta Mechanica 91 (1992), 97-105.

[15] Song G-Q, Yang D-P, Zheng QS: The constitutive equations of thick plates based on subspace variational principles. Journal of Jiangxi Polytechnic University 13(2) (1991), 333-339 [in Chinese].

[14] Zheng QS*: The formulation of the generalized constitutive equations from their irrotational forms for simple materials. Chinese Science Bulletin 36(14) (1991), 1217-1221.

[13] Song G-Q, Yang D-P, Zheng QS: Representation of quadratic elasticity tensors under various material symmetries. Journal of Jiangxi Polytechnic University 12(2) (1990), 14-26 [in Chinese].

[12] Xiong Z-H, Zheng QS*: Canonical representations and degree of freedom formulae of orthogonal tensors in n-dimensional Euclidean space. Applied Mathematics Mechanics 10(1) (1989), 93-101.

[11] Zheng QS*, Hwang K C: Cauchy's mean rotation. Chinese Science Bulletin 34(11) (1989), 897-901.

[10] Zheng QS*, Xiong Z-H: On the decompositions of the deformation gradient of plane problem. Journal of Jiangxi Polytechnic University 10(3) (1988), 8-21 [in Chinese].

[9] Xiong Z-H, Zheng QS*: General algorithms for the polar decomposition and strains. Acta Mechanica Sinica 4 (1988), 175-181.

[8] Yang D-P, Zheng QS*: A new large deformation theory of flexible bars. Journal of Jiangxi Polytechnic University 8(3) (1986), 30-49 [in Chinese].

[7] Xiong Z-H, Zheng QS*: Small strain accompanied by large deformation and approximate geometric preliminary theory of planar deformation. Journal of Jiangxi Polytechnic University 8(3) (1986), 1-29 [in Chinese].

[6] Zheng QS*: General constructions for homogeneous isotropic tensor functionals and partioned isotropic tensor functionals. Journal of Jiangxi Polytechnic University 8(1) (1986), 1-19 [in Chinese].

[5] Zheng QS*: A new proof of the canonical representation of orthogonal tensor. Journal of Jiangxi Polytechnic University 6(4) (1984), 1-3 [in Chinese].

[4] Zheng QS*: A set of new formulae for integrating the displacement from stress function in plane elasticity. Journal of Jiangxi Polytechnic University 6(1) (1984), 14-22 [in Chinese].

[3] Zheng QS*: Extended variational principles in non-linear theory of elasticity. Applied Mathematics and Mechanics (English Edition) 5(2) (1984), 1185-1196.

[2] Zheng QS*, Tai T-M: Two simple proofs of Cayley-Hamilton theorem and two representaion theorems. Applied Mathematics and Mechanics 5(1) (1984), 977-984.

[1] Zheng QS*: General formulae for solving the displacement from stress function in plane elasticity. Journal of Jiangxi Institute of Technology 3(1) (1981), 34-44 [in Chinese]

3、Books, Monographies, Proceedings, Review Articles,

[P4] Zheng QS, Fu M-F, Song G-Q: Mechanics and Its Applications in Civil Engineerings – In Honor of Professor D.-P. Yang’s 70th Anniversary. Beijing: Tsinghua University Press. [in Chinese]. (eds., 2002)

[R3] Hu G-K, Zheng QS, Huang Z-P: Micromechanics methods for effective elastic properties of composite materials. Advances in Mechanics. 31(1) (2001), 144-155 [in Chinese].

[P3] Guntern G: The Challenge of Creative Leadership. London: Shepherd-Walwyn. Translated into Chinese by Zheng QS, et al. (1997).

[P2] Yu S-W, Yang W, Zheng QS. Advances in Solid Mechanics – In Honor of Professor K.C. Hwang’s 70 Anniversary. Beijing: Tsinghua University Press [in Chinese] (eds., 1997)

[P1] Yang W, Zheng QS, Jin Z-M: Mechanics in China Tend to 21 Century. Beijing: Tsinghua University Press [in Chinese] (eds., 1996/6).

[R2] Zheng QS: Theory of representations for tensor functions — A unified invariant approach to constitutive equations. Appl. Mech. Rev. 47 (1994), 545-587.

[R1] Xiong ZH, Zheng QS: Some basic problems in nonlinear fields of mechanics. Advances in Mechanics 21 (1991), 310-332 [in Chinese].

·Zheng QS: Theory of representations for tensor functions — A unified invariant approach to constitutive equations. Applied Mechanics Review 47 (1994), 545-587.

(1) Nanomechanics, nanodevices, micro/nano-bionics

·Xu ZP, Wang LF, Zheng QS*: Enhanced mechanical properties of prestressed multiwalled carbon nanotubes, Small 4 (2008), 733-737

·Zheng QS*, Jiang B, Liu SP, Weng YX, Lu L, Xue QK, Zhu J, Jiang Q, Wang S, Peng LM: Self-Retracting Motion of Graphite Microflakes, Physical Review Letters 100 (2008), 067205

·Xu ZP, Zheng QS*, Jiang Q, Ma CC, Zhao Y, Chen GH, Gao H, Ren GX: Trans-phonon effects in ultrafast nano-devices. Nanotechnology 19 (2008), 255705

·Wang LF, Zheng QS*, Liu JZ, Jiang Q: Size dependence of the thin-shell model for carbon nanotubes. Physical Review Letters 95 (2005), 105501

·Zheng QS*, Yu Y, Zhao ZH: Effects of Hydraulic Pressure on the Stability and Transition of Wetting Modes of Superhydrophobic Surfaces, Langmuir 21 (2005), 12207

·Liu H, Li SH, Zhai J, Li HJ, Zheng QS, Jiang L, Zhu DB: Self-assembly of large-scale micropatterns on aligned carbon nanotube films. Angewandte Chemie-International Edition 43 (2004), 1146-1149.

·Guo WL, Guo YF, Gao H, Zheng QS, Zhong WY: Energy dissipation in gigahertz oscillators from multiwalled carbon nanotubes. Physical Review Letters 91 (2003), 125501.

·Zheng QS*, Jiang Q: Multiwalled carbon nanotubes as gigahertz oscillators. Physical Review Letters 88 (2002), article 045503.

·Liu Z, Zheng QS*, Jiang Q: Effect of a rippling mode on resonances of carbon nanotubes. Physical Review Letters 86 (2001), 4843-4846.

(2) Mechanics of Heterogeneous Materials and Micromechanics

·Zou WN, He QC, Huang MJ, Zheng QS*: Eshelby’s problem of non-elliptical inclusions. Journal of the Mechanics and Physics of Solids 58 (2010), online valid

·Zheng QS*, Zhao ZH, Du DX: Irreducible structure, symmetry and average of Eshelby’s tensor ﬁelds in isotropic elasticity, Journal of the Mechanics and Physics of Solids 54 (2006), 368–383; see also 58 (2010), 103-104

·Liu JZ, Zheng QS*, Wang LF, Jiang Q: Mechanical properties of single-walled carbon nanotube bundles as bulk materials. Journal of the Mechanics and Physics of Solids 53 (2005), 123-142.

·Ren Z-Y, Zheng QS*: A quantitative study of minimum sizes of representative volume elements of cubic polycrystals – numerical experiments. Journal of the Mechanics and Physics of Solids 50(4) (2002), 881-893.

·Zheng QS*, Du D-X: An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution. Journal of the Mechanics and Physics of Solids 49(11) (2001), 2765-2788.

·Zheng QS*, Chen T: Generalized plane deformation of electromagnetic thermoelastic solids. Parts I & II. Proceedings of the Royal Society of London A 455 (1999), 1283-1299; 1301-1314.

·Zheng QS*, Collins IF: The relationship between damage variables and their evolution laws and microstructural and physical properties. Proceedings of the Royal Society of London A 454 (1998), 1469-1498

·Zheng QS*, Hwang K C: Two-dimensional elastic compliance of materials with holes and microcracks. Proceedings of the Royal Society of London A 453 (1997), 353-364

·Zheng QS, Hwang K C: Reduced dependence of defect compliance on matrix and inclusion elastic properties in two-dimensional elasticity. Proceedings of the Royal Society of London A 452 (1996), 2493-2507.

·Chen M-X, Zheng QS, Yang W: A micromechanical model of texture induced orthotropy in planar crystalline polymers. Journal of the Mechanics and Physics of Solids 44(2) (1996), 157-178.

(3) Theory of Representations of Tensor Functions & Rational Mechanics

·Zou WN, Zheng QS*: Maxwell's multipole representation of traceless symmetric tensors and its application to functions of high order tensors. Proceedings of the Royal Society of London A 459 (2003), 527-538.

·Zheng QS*, Betten J: On the tensor function representations of 2nd-order and 4th-order tensors: Part I. ZAMM 75(4) (1995), 269-281.

·Zheng QS*, Boehler JP: The description, classification, and reality of material and physical symmetries. Acta Mechanica 102 (1994), 73-89.

·Zheng QS*: Two-dimensional tensor function representations for all kinds of material symmetry. Proceedings of the Royal Society of London A 443 (1993), 127-138.

·Zheng QS*, Spencer AJM: On the canonical representations for Kronecker power of orthogonal tensors with applications to material symmetry problems. International Journal of Engineering Sciences 31 (1993), 617-635.

·Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Parts I – V. International Journal of Engineering Sciences 31 (1993), 1399-1409; 1411-1423; 1425-1433; 1435-1443; 1445-1453.

·Zheng QS*, Hwang K C: Cauchy's mean rotation. Chinese Science Bulletin, 34(11) (1989), 897-901; see also Zheng QS, Hwang K C: On Cauchy's mean rotation. ASME Journal of Applied Mechanics 59 (1992), 405-410.

2、Full List of Articles in Technical Journals

[129] Huang MJ, Zou WN, Zheng QS*: Explicit expression of Eshelby tensor for arbitrary weakly non-circular inclusion in two-dimensional elasticity, International Journal of Engineering Science 47 (2009), 1240-1250 [PDF]

[128] Neild, A ; Ng, TW ; Zheng, QS: Controlled driven oscillations of double-walled carbon nanotubes, EPL 87 (1) (2009), 16002

[127] Zeng DJ, Wei XL, Liu JZ, Chen Q, Li XD, Zheng QS*: Tunable resonant frequencies for determining Young's moduli of nanowires, Journal of Applied Physics 105 (11) (2009), 114311

[126] Deng F, Zheng QS*: Interaction Models for Effective Thermal and Electric Conductivities of Carbon Nanotube Composites, Acta Mechanica Solida Sinica, 22 (1) (2009), 1-17

[125] Zheng QS*, Yu Y, Feng XQ: The role of adaptive-deformation of water strider leg in its walking on water, Journal of Adhesion Science and Technology 23 (2009), 493–501

[124] Lv Cunjing, Yin Yajun, Zheng QS*: Nonlinear effects of line tension in adhesion of small droplets, Applied Mathematics and Mechanics-English Editition 29(10) (2008), 1251-1262

[123] Xu ZP, Wang LF, Zheng QS*: Enhanced Mechanical Properties of Pre-stressed Multiwalled Carbon Nanotubes, Small 4 (2008), No. 6, 733–737

[122] Quang H Le, He QC, Zheng QS: Some general properties of Eshelby’s tensor fields in transport phenomena and anti-plane elasticity, International Journal of Solids and Structures 45 (2008), 3845–3857

[121] Xu ZP, Zheng QS*, Jiang Q, Ma CC, Zhao Y, Chen GH, Gao H, Ren GX: Trans-phonon effects in ultrafast nano-devices. Nanotechnology 19 (2008), 255705

[120] Zheng QS, Suo ZG, Special Issue Honoring K.C. Hwang - Fracture, Plasticity, Micro- and Nanomechanics, Special Issue Honoring K.C. Hwang, International Journal of Solids and Structures 45(13) (2008), 3623-3626

[119] Deng F, Zheng QS*: An analytical model of effective electrical conductivity of carbon nanotube composites, Applied Physics Letters 92 (2008), 071902.

[118] Zheng QS*, Jiang B, Liu SP, Weng YX, Lu L, Xue QK, Zhu J, Jiang Q, Wang S, Peng LM: Self-Retracting Motion of Graphite Microflakes, Physical Review Letters 100 (2008), 067205.

[117] Yu Y, Guo M, Li XD, Zheng QS*: Meniscus-climbing behavior and its minimum free-energy mechanism. Langmuir 23 (2007), 10546-10550.

[116] Zeng DJ, Zheng QS*: Resonant frequency-based method for measuring the Young’s moduli of nanowires. Physical Review B 76 (2007), 075417.

[115] Wang M, Zhang X, Zheng QS, Liu Y: A membrane-spring model for carbon nanotubes with van der Waals interaction between non-bonded atoms. Nanotechnology 18 (37) (2007), 375706.

[114] Yu Y, Zhao ZH, Zheng QS*: Mechanical and superhydrophobic stabilities of two-scale surfacial structure of lotus leaves. Langmuir 23 (2007), 8212-8216.

[113] XU ZP, Zheng QS* Chen GH: Thermally driven large-amplitude fluctuations in carbon-nanotube-based devices: Molecular dynamics simulations. Physical Review B 75 (2007), 195445.

[112] Xu ZP, Zheng QS* Chen GH: Elementary building blocks of grapheme nanoribbon based electronic devices. Applied Physics Letters 90 (2007), 223115.

[111] Feng XQ, Gao XF, Wu ZN, Jiang L, Zheng QS*: Superior water repellency of water strider legs with hierarchical structures: Experiments and analysis. Langmuir 23 (2007), 4892-4896

[110] Wang LF, Zheng QS*: Extreme anisotropy of graphite and single-walled carbon nanotube bundles. Applied Physics Letters 90 (2007), 153113

[109] Deng F, Zheng QS*, Wang LF, Nan CW: Effects of anisotropy, aspect ratio, and nonstraightness of carbon nanotubes on thermal conductivity of carbon nanotube composites, Applied Physics Letters 90 (2007), 02191

[108] He QC, Zheng QS: Decomposition of large incompressible deformations. Journal of Elasticity 85 (2006), 175–187.

[107] Xia QP, Dan W, Xu ZP, Zheng QS*: Estimate of effective properties of metal particle tape based on micromechanics. Chinese Journal of Theoretical and Applied Mecahnics 38(3) (2006), 323-329 [in Chinese].

[106] Zheng QS*, Zhao ZH, Du DX: Irreducible structure, symmetry and average of Eshelby’s tensor fields in isotropic elasticity, Journal of the Mechanics and Physics of Solids 54 (2006), 368-383

[105] Zhao Y, Ma CC, Wong LH, Chen GH, Xu ZP, Zheng QS, Jiang Q, Chwang AT: Energy exchanges in carbon nanotubes oscillators. Nanotechnology 17 (2006), 1032-1035.

[104] Zheng QS*, Yu Y, Zhao ZH, Effects of Hydraulic Pressure on the Stability and Transition of Wetting Modes of Superhydrophobic Surfaces, Langmuir 21 (2005), 12207

[103] Wang LF, Zheng QS*, Liu JZ, Jiang Q: Size Dependence of the Thin-Shell Model for Carbon Nanotubes, Physical Review Letters 95 (2005), 105501.

[102] Liu SP, Zhou F, Jin AZ, Yang HF, Ma YJ, Li H, Gu CZ, Lu L, Jiang B, Zheng QS, Wang S, Peng LM, Fabrication of graphite nano-structures, Acta Physica Sinica 54 (2005), 4251

[101] Liu JZ, Zheng QS*, Wang LF, Jiang Q: Mechanical properties of single-walled carbon nanotube bundles as bulk materials. Journal of the Mechanics and Physics of Solids 53(1) (2005), 123-142.

[100] Ren ZY, Zheng QS*: Effects of grain sizes, shapes, and distribution on minimum sizes of representative volume elements of cubic polycrystals. Mechanics of Materials 36(12) (2004), 1217–1229.

[99] Liu H, Li SH, Zhai J, Li HJ, Zheng QS, Jiang L, Zhu DB: Self-assembly of large-scale micropatterns on aligned carbon nanotube films. Angewandte Chemie-International Edition 43(9) (2004), 1146-1149.

[98] Zheng QS*, Zhao ZH: Green's function and Eshelby's fields in couple-stress elasticity. International Journal of Multiscale Computational Engineering 2(1) (2004), 5-27.

[97] Guo WL, Guo YF, Gao H, Zheng QS, Zhong WY: Energy dissipation in gigahertz oscillators from multiwalled carbon nanotubes. Physical Review Letters 91(12) (2003), article 125501.

[96] Zheng QS*: Irreducible function bases for simple fluids and liquid crystal films -- A new derivation. ZAMP 54 (2003), 478-483.

[95] Guo F.-L., Zheng QS*: The completeness and a new derivation of the Stroh formalism of anisotropic linear elasticity. Acta Mechanica Sinica 19(3) (2003), 270-275.

[94] Zou WN, Zheng QS*: Maxwell's multipole representation of traceless symmetric tensors and its application to functions of high order tensors. Proceedings of the Royal Society of London A 459 (2003), 527-538.

[93] Liu JZ, Zheng QS*, Jiang Q: Effect of bending instabilities on the measurements of mechanical properties of multiwalled carbon nanotubes. Physical Review B. 67 (2003), article 075414.

[92] Huo B, Zheng QS*: Effect of dentin tubules on the mechanical properties of dentin. Part III: Numerical analysis. Acta Mechanica Sinica. 18(6) (2002), 629-637.

[91] Zheng QS*: Constitutive relations of linear elastic materials under various internal constraints. Acta Mechanica 158 (2002), 97-103.

[90] Du D-X, Zheng QS*: A further exploration of the interaction direct derivative IDD estimate for the effective properties of multiphase composites taking into account inclusion distribution. Acta Mechanica, 157(1-4) (2002), 61-80.

[89] Zhao H-J, Zhuang Z, Zheng QS: Test and simulation for large deformed torsion and plastic hardening. Acta Mechanica Sinica 34(5) (2002), 804-811 [in Chinese].

[88] Zheng QS*, Liu JZ, Jiang Q: Excess vand der Waals interaction energy of a multiwalled carbon nanobube with an extruded core and the induced core oscillation. Physical Review B 65 (2002), article 245409.

[87] Ren Z-Y, Zheng QS*: A quantitative study of minimum sizes of representative volume elements of cubic polycrystals – numerical experiments. Journal of the Mechanics and Physics of Solids 50(4) (2002), 881-893.

[86] Zheng QS, Liu Y: Prediction of the detwinning anisotropy in textured NiTi shape memory alloy. Philosophical Magazine A 82 (4) (2002): 665-683 .

[85] Zheng QS*, Jiang Q: Multiwalled carbon nanotubes as gigahertz oscillators. Physical Reviews Letter 88(4) (2002), article 045503.

[84] Zheng QS*, Chen T: New perspective on Poisson's ratios of elastic solids. Acta Mechanica 150 (3-4) (2001), 191-195.

[83] Spencer AJM, Zheng QS: Jean-Paul Boehler: 1942-1998. Journal of the Mechanics and Physics of Solids 49(11) (2001), 2455-2458.

[82] Zheng QS*, Du D-X: An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution. Journal of the Mechanics and Physics of Solids 49(11) (2001), 2765-2788.

[81] Zheng QS*, Fu Y-B: Orientation distribution functions for microstructures of heterogeneous materials: Part II-- Crystal distribution functions and irreducible tensors restricted by various material symmetries. Applied Mathematics and Mechanics 22(8) (2001), 885-993.

[80] Zheng QS*, Zou W-N: Orientation distribution functions for microstructures of heterogeneous materials: Part I-- Directional distribution functions and irreducible tensors. Applied Mathematics and Mechanics 22(8) (2001), 865-884.

[79] Zou W-N, Zheng QS*, Rychlewski J, Du D-X: Orthogonal irreducible decompositions of tensors of high orders. Mathematics and Mechanics of Solids 6(3) (2001), 249-267.

[78] Liu Z, Zheng QS*, Jiang Q: Effect of a rippling mode on resonances of carbon nanotubes. Physical Review Letters 86(21) (2001), 4843-4846.

[77] Guo X-H, Hu N, Zheng QS, Zan Q-F, Wang C-G, Huang Y: A numercial simulation and experimental study on toughening design of multiplyer ceramic. Journal of Chinese Ceramic Society 28 (3) (2000), 234-239 [in Chinese].

[76] Losilla G, Boehler J-P, Zheng QS*: A generally anisotropic hardening model for big offset-strain yield stresses. Acta Mechanica 144(3-4) (2000), 169-183.

[75] Huo B, Zheng QS*, Zhang Q, Wang J-D: Effect of dentin tubules on the mechanical properties of dentin. Part II: Experimental study. Acta Mechanica Sinica 16(1) (2000), 75-82.

[74] Zheng QS*, Zou W-N: Irreducible decomposition of physical tensors of high orders. Journal of Engineering Mathematics 37(1-3) (2000), 273-288.

[73] Chen T, Zheng QS: Universal connections of elastic fibrous composites: Some new results. International Journal of Solids and Structures 37(18) (2000), 2591-2602.

[72] Zheng QS*, He Q-C, Curnier A: Simple shear decomposition of the deformation gradient. Acta Mechanica 140(3-4) (2000), 131-147.

[71] Zheng QS*: A supplement to "Discussion about the scalar invariants of representation theory for tensor functions". Acta Mechanica Sinica 31(4) (1999), 510-511 [in Chinese].

[70] Huo B, Zheng QS*, Huang Y: A note on the effect of surface energy and void size to void growth. European Journal of Mechanics: A/Solids 18(6) (1999), 987-994.

[69] Wen M, Zheng QS*, Du D-X: Some basic problems in numerically simulating effective properties and local fields of composite materials. Acta Mechanica Solida, 12(4) (1999), 328-339.

[68] Huo B, Zheng QS*: Effect of dentin tubules on the mechanical properties of dentin. Part I: Stress-strain relations and strength criterion. Acta Mechanica Sinica 15(4) (1999), 355-365.

[67] Du D-X, Zheng QS*: A note on Cauchy-Voigt dispute of independent constants in anisotropic elastic Hooke's law. Mechanics Research Communications 26(3) (1999), 295-300.

[66] Zheng QS*, Chen T: Generalized plane deformation of electromagnetic thermoelastic solids. II: Further results in invariance shifts and reduced dependences. Proceedings of the Royal Society of London A455 (1999), 1301-1314.

[65] Zheng QS*, Chen T: Generalized plane deformation of electromagnetic thermoelastic solids. I: Correspondence and invariance shifts. Proceedings of the Royal Society of London A455 (1999), 1283-1299.

[64] Gao Y-X, Zheng QS*, Yu S-W: Microscopic analysis and invariant description of the effective elastic properties of damaged solid — A general theoretic model accounting for interaction of micro-defects. Acta Mechanica Sinica 30(5) (1998), 552-562 [in Chinese].

[63] Gao Y-X, Yu S-W, Zheng QS*, Yang W: The effective toughness of microcracked bodies. Acta Mech Sinica 30(1) (1998), 109-115 [in Chinese].

[62] Huang Z-X, Zheng QS*: Effects of the surface energy on the lattice contraction and eigen-frequency of a nano-grain. Acta Mechanica Sinica 30(2) (1998), 247-251 [in Chinese].

[61] Yang W, Chen M-X, Zheng QS: Constitutive modeling of aggregates with evolving inextensible constrains. International Journal of Mechanical Science 40 (2-3) (1998), 139-146.

[60] Zheng QS*, Du D-X: Closed-form interacting solutions for overall elastic moduli of composite materials with multi-phase inclusions, holes, and microcracks. Key Engineering Materials 145-149 (1998), 479-488.

[59] Chen M-X, Yang W, Zheng QS: Simulation of crack tip superblunting in semi-crystalline polymers. Journal of the Mechanics and Physics of Solids 46(2) (1998), 337-356.

[58] Zheng QS*, Collins IF: The relationship between damage variables and their evolution laws and microstructural and physical properties. Proceedings of the Royal Society of London A 454 (1998), 1469-1498.

[57] Du D-X, Zheng QS*, Gao Y-X: Consistency between independence theorems and generalized self-consistent method. Acta Mechanica Sinica 13(4) (1997), 355-365.

[56] Zheng QS*, Hwang K C: Two-dimensional elastic compliance of materials with holes and microcracks. Proceedings of Royal Society of London A 453 (1997), 353-364.

[55] Fu Y-B, Zheng QS: Nonlinear travelling waves in a neo-Hookean plate subjected to a simple shear. Mathematics and Mechanics of Solids 2 (1997), 27-48.

[54] Zheng QS*: A unified invariant description of micromechanically-based effective elastic properties of two-dimensional damaged solids. Mechanics of Materials 25(4) (1997), 273-289.

[53] Gao Y-X, Zheng QS, Yu S-W: Interactors and a third-order interacting model for effective elastic properties of damaged solids. Tsinghua Science & Technology 2(2) (1997), 633-640.

[52] Zheng QS*, Betten J: The formulation of elastic and plastic responses for cubic crystals. Applied Mechanics and Engineering 2(2) (1997), 171-186.

[51] Zheng QS*: On tensor functions of second-order tensors and vectors under n-gonal classes. ZAMM 77(8) (1997), 595-608.

[50] Gao Y-X, Zheng QS, Liu T-Q, Yu S-W: Micromechanical analysis on the interaction among circular micro-holes and their arrangement. Journal of Inner Mongolia Polytechnic University 16(3) (1997), 127-132 [in Chinese].

[49] Du D-X, Zheng QS*: Revised subspace variational principle and it’s applications to determine shear coefficients of beams. Acta Mechanica solida Sinica 17(4) (1996), 348-352 [in Chinese].

[48] Zheng QS*, Fang H-Y: Anisotropic effects of quasi-isotropic composite (I) —Modelling. Applied Mathematics and Mechanics (English Edi.) 17(10) (1996), 923-931.

[47] Fang H-Y, Zheng QS*: Anisotropic effects of quasi-isotropic composite (II) — Applications and Micro-mechanical analysis. Applied Mathematics and Mechanics (English Edi.) 17(10) (1996), 933-938.

[46] Zheng QS*: Quasi-principal axis method in finite deformation. Applied Mathematics and Mechanics (English Edi.) 17(10) (1996), 909-921.

[45] Gao Y-X, Zheng QS, Yu S-W: Double-scalar description of isotropic damage. Acta Mechanica Sinica 28(5) (1996), 542-549 [in Chinese].

[44] Chen M-X, Yang W, Zheng QS: Nonlinear evolution of aggregates with inextensible constrains. Commuications in Nonlinear Science & Numerical Simulation 1(3) (1996), 8-12.

[43] He Q-C, Zheng QS: On the symmetries of 2D elastic and hyperelastic tensors. Journal of Elasticity 43(3) (1996), 203-225.

[42] Zheng QS*, Betten J: On damage effective stress and equivalence hypotheses. International Journal of Damage Mechanics 5 (1996), 219-240.

[41] Zheng QS*, Hwang K C: Reduced dependence of defect compliance on matrix and inclusion elastic properties in two-dimensional elasticity. Proceedings of Royal Society of London A 452 (1996), 2493-2507.

[40] Chen M-X, Zheng QS, Yang W: A micromechanical model of texture induced orthotropy in planar crystalline polymers. Journal of the Mechanics and Physics of Solids 44(2) (1996), 157-178.

[39] Zheng QS*: Two-dimensional tensor function representations involving third-order tensors. Archive of Mechanics 48(4) (1996), 659-673.

[38] Chen M-X, Yang W, Zheng QS: Planar texture evolution and plastic response in crystalline polymers. Acta Mechanica Sinica 27(6) (1995), 699-711 [in Chinese].

[37] Zheng QS*, Betten J: On the tensor function representations of 2nd-order and 4th-order tensors: Part I. ZAMM 75(4) (1995), 269-281.

[36] Zheng QS*, Betten J: The formulation of constitutive equations for fibre-reinforced composites in plane problems: Part II. Archive of Applied Mechanics 65 (1995), 161-177.

[35] Zheng QS*, Boehler JP: Tensor function representations as applied to formulating constitutive laws for clinotropic materials. Acta Mechanica Sinica 10(4) (1994), 336-348.

[34] Zheng QS*, Hwang K C, Betten J: On the mean rotation tensors. International Journal of Solids and Structures 31(22) (1994), 3153-3173.

[33] Zheng QS*: A note on representation for isotropic functions of a 4th-order tensor in 2-dimensional space. ZAMM 74(8) (1994), 357-359.

[32] Zheng QS*, Boehler JP: The description, classification, and reality of material and physical symmetries. Acta Mechanica 102 (1994), 73-89.

[31] Zheng QS*: Two-dimensional tensor function representations for all kinds of material symmetry. Proceedings of the Royal Society of London A 443 (1993), 127-138.

[30] Xiong H-E, Zheng QS: An approach to approximate analysis of deformation and strain. Acta Mechanica Solida Sinica 6 (1993), 261-273.

[29] Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Part V — The irreducibility of the representations for three dimensional orthotropic functions and the summary. International Journal of Engineering Science 31 (1993), 1445-1453.

[28] Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Part IV — The representations for three dimensional orthotropic functions. International Journal of Engineering Science 31 (1993), 1435-1443.

[27] Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Part III — The irreducibility of the representations for three dimensional transversely isotropic functions. International Journal of Engineering Science 31 (1993), 1425-1433.

[26] Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Part II — The representations for three dimensional transversely isotropic functions. International Journal of Engineering Science 31, 1411-1423; see also: Zheng QS* (1994): On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors — Part II, Corrrigondum. International Journal of Engineering Science 32 (1993), 719.

[25] Zheng QS*: On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors: Part I — Two dimensional orthotropic and relative isotropic functions and three dimensional relative isotropic functions. International Journal of Engineering Science 31 (1993), 1399-1409.

[24] Zheng QS*: On the representations for isotropic vector-valued, symmetric tensor-valued and skew-symmetric tensor-valued functions. International Journal of Engineering Science 31(7) (1993), 1013-1024.

[23] Zheng QS*, Spencer AJM: Tensors which characterize anisotropies. International Journal of Engineering Science 31(5) (1993), 679-693.

[22] Zheng QS*: On Cauchy’s mean rotation - Closure. ASME Journla of Applied Mechanics 60 (1993), 252-253.

[21] Zheng QS*, Spencer AJM: On the canonical representations for Kronecker power of orthogonal tensors with applications to material symmetry problems. International Journal of Engineering Science 31(4) (1993), 617-635.

[20] Zheng QS*, Yang D-P, Song G-Q: Subspace variational principle of rods and shells. Applied Mathematics and Mechanics (English Edi.) 13(11) (1992), 1023-1030.

[19] Zheng QS*, Betten J, Spencer AJM: The formulation of constitutive equations for fibre-reinforced composites in plane problems: Part I. Archive of Applied Mechanics 62 (1992), 530-543.

[18] Zheng QS*, Hwang K C: On Cauchy's mean rotation. ASME Journla of Applied Mechanics. 59 (1992), 405-410.

[17] Zheng QS*, Yang D-P, Song G-Q: Structure of rod and shell theories in Hilbert space. Applied Mathematics and Mechanics (English Edi.) 13(5) (1992), 445-459.

[16] Zheng QS*: On the generalization of constitutive laws from their arotational forms. Acta Mechanica 91 (1992), 97-105.

[15] Song G-Q, Yang D-P, Zheng QS: The constitutive equations of thick plates based on subspace variational principles. Journal of Jiangxi Polytechnic University 13(2) (1991), 333-339 [in Chinese].

[14] Zheng QS*: The formulation of the generalized constitutive equations from their irrotational forms for simple materials. Chinese Science Bulletin 36(14) (1991), 1217-1221.

[13] Song G-Q, Yang D-P, Zheng QS: Representation of quadratic elasticity tensors under various material symmetries. Journal of Jiangxi Polytechnic University 12(2) (1990), 14-26 [in Chinese].

[12] Xiong Z-H, Zheng QS*: Canonical representations and degree of freedom formulae of orthogonal tensors in n-dimensional Euclidean space. Applied Mathematics Mechanics 10(1) (1989), 93-101.

[11] Zheng QS*, Hwang K C: Cauchy's mean rotation. Chinese Science Bulletin 34(11) (1989), 897-901.

[10] Zheng QS*, Xiong Z-H: On the decompositions of the deformation gradient of plane problem. Journal of Jiangxi Polytechnic University 10(3) (1988), 8-21 [in Chinese].

[9] Xiong Z-H, Zheng QS*: General algorithms for the polar decomposition and strains. Acta Mechanica Sinica 4 (1988), 175-181.

[8] Yang D-P, Zheng QS*: A new large deformation theory of flexible bars. Journal of Jiangxi Polytechnic University 8(3) (1986), 30-49 [in Chinese].

[7] Xiong Z-H, Zheng QS*: Small strain accompanied by large deformation and approximate geometric preliminary theory of planar deformation. Journal of Jiangxi Polytechnic University 8(3) (1986), 1-29 [in Chinese].

[6] Zheng QS*: General constructions for homogeneous isotropic tensor functionals and partioned isotropic tensor functionals. Journal of Jiangxi Polytechnic University 8(1) (1986), 1-19 [in Chinese].

[5] Zheng QS*: A new proof of the canonical representation of orthogonal tensor. Journal of Jiangxi Polytechnic University 6(4) (1984), 1-3 [in Chinese].

[4] Zheng QS*: A set of new formulae for integrating the displacement from stress function in plane elasticity. Journal of Jiangxi Polytechnic University 6(1) (1984), 14-22 [in Chinese].

[3] Zheng QS*: Extended variational principles in non-linear theory of elasticity. Applied Mathematics and Mechanics (English Edition) 5(2) (1984), 1185-1196.

[2] Zheng QS*, Tai T-M: Two simple proofs of Cayley-Hamilton theorem and two representaion theorems. Applied Mathematics and Mechanics 5(1) (1984), 977-984.

[1] Zheng QS*: General formulae for solving the displacement from stress function in plane elasticity. Journal of Jiangxi Institute of Technology 3(1) (1981), 34-44 [in Chinese]

3、Books, Monographies, Proceedings, Review Articles,

[P4] Zheng QS, Fu M-F, Song G-Q: Mechanics and Its Applications in Civil Engineerings – In Honor of Professor D.-P. Yang’s 70th Anniversary. Beijing: Tsinghua University Press. [in Chinese]. (eds., 2002)

[R3] Hu G-K, Zheng QS, Huang Z-P: Micromechanics methods for effective elastic properties of composite materials. Advances in Mechanics. 31(1) (2001), 144-155 [in Chinese].

[P3] Guntern G: The Challenge of Creative Leadership. London: Shepherd-Walwyn. Translated into Chinese by Zheng QS, et al. (1997).

[P2] Yu S-W, Yang W, Zheng QS. Advances in Solid Mechanics – In Honor of Professor K.C. Hwang’s 70 Anniversary. Beijing: Tsinghua University Press [in Chinese] (eds., 1997)

[P1] Yang W, Zheng QS, Jin Z-M: Mechanics in China Tend to 21 Century. Beijing: Tsinghua University Press [in Chinese] (eds., 1996/6).

[R2] Zheng QS: Theory of representations for tensor functions — A unified invariant approach to constitutive equations. Appl. Mech. Rev. 47 (1994), 545-587.

[R1] Xiong ZH, Zheng QS: Some basic problems in nonlinear fields of mechanics. Advances in Mechanics 21 (1991), 310-332 [in Chinese].

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Web Link: mech.tsinghua.edu.cn/zhengqs