《第三届国际非线性力学会议论文集》

Ⅰ．GENERAL LECTURES1

The Crucial Role of Viscous Damping in Solid MechanicsStuart S. Antman1

Proof of the Conjecture on"Eternal"Positive Solutions,for a Model of the Boltzmann EquationHenri Cabannes7

Developments on the Study of Nonlinear Dynamical Properties of Mechanical SystemsChen BinMei Feng-xiang Wang Zhao-lin Zhu Hai-ping14

Nonlinear Contact Mechanics and Fracture of Plate under Impulsive LoadChen Zhi-da22

Constitutive Models for the Nonlinear Viscoelastic Response of Solid Polymers with Mechanically Induced Material ClocksA.D. Drozdov28

Internal Solitary Waves in the Atmosphere and OceanR. Grimshaw35

Vectorial Method of the Kinetic Parameters Analysis of the Rotor with Many Axes and Nonlinear DynamicsKatica(Stevanovic)Hedrih42

A Unified Coordinate System for Computing Discontinuous FlowsW.H. Hui48

On Characterizing and Classifying Dynamical Systems Using Poset ConceptsC.S. Hsu49

Techniques for Studying Nonlinear Wave EquationsAlan Jeffrey55

Nonlinearity Latent in the Epistemological Penetration into the Microscopic Construction of NatureKazuo Kondo68

Subgrid Scale Models in Large Eddy SimulationLi Jia-chun Xie Zheng-tong75

Nonlinear Problems in Spacecraft Attitude DynamicsLiu Yan-zhu Chen Li-qun80

Material Tensors of Weakly-Textured PolycrystalsC.S. Man87

On General Equations of Analytical DynamicsV.V. Rumyantsev95

Elastic Waves under an Unusual AnisotropyJan Rychlewski101

The Thermoelastic Springback Effect for Nonlinear MaterialsA.J.M. Spencer103

Notes on the Dynamics of Vortex Filaments and Their Core StructureLu Ting109

Fully Nonlinear Water WavesTheodore Yaotsu Wu119

On the Nonlinear Parametric Excitation Problems in EngineeringXu Jian-xue125

Nonlinear Strain Waves in SolidsYang Gui-tong131

Invariance Shifts and Reduced Dependence in Electro-Magnetic Elastic Fibrous Materials with DefectsZheng Quan-shui T.Chen136

Why K-B Method in Nonlinear Mechanics Usually Does Not Yield Convergent Solution-As Seen from Its Application in the Theory of Hydrodynamic StabilityZhou Heng141

On High Order Accuracy Schemes and the Numerical Simulation of Some Complex FlowsZhuang Feng-gan149

Ⅱ．SOLID MECHANICS156

Linear and Nonlinear Stability Properties of an Elastic Plate Bonded to a Half-SpaceCai Zong-xiFu Yi-bin156

A Model for Calculating the Localized Damage on Strain Controlled FatigueCao Tian-Jie Sun Xun-fang Gao Qing161

A New Realistic Growth Law of Voids for Mixed-Hardening MaterialsChen Bin Gao Zhi-hui Peng Xiang-he Fang Jing-hong166

A Micromechanically Based Damage Model for Cracked SolidChen Sheng-ping LiuZu-de Yu Tian-qing171

Numerical Investigation on Void Growth ahead of a Blunt Crack TipCheng Yan Mai Yiu-wing175

Generalized Surface Conservation Laws for Nonlocal Polar thermomechanical ContinuaDai Tian-min181

Dynamic Properties of Viscoelastic PlatesDing Rui Zhu Zheng-you Cheng Chang-jun185

Analytical Soulutions for Twisting Vibration of Columns with Nonlinear Rayleigh DampingFanJia-shen Wu Pei-guan191

Buckled States ofViscoelastic Nonlinear Circular PlatesFan Xiao-jun Cheng Chang-jun196

On the Objective Representations of Kinematics in Crystal PlasticityFu Ming-fu C.H. Ding201

Nonliner Vibration of Elastic Truncated Conical Shells in Non-inertial Reference SystemFu Yi-mning Chen Chang-ping208

Study of Random Response of Rotational Shell with Nonlinear BehaviourGaoShi-qiao Jin Lei H.J. Niemann214

On the Singularities in Problems of Brittle Fracture Mechanicas in Case of Initial(Residual)Stresses alongtheCracksA.N.Guz219

Investigation of Aceuracy of Continuum Fracture Theory for Piecewise-Homogeneous MediumIgor A. Guz224

Simulation Analysis of High CFRDHe Yun-long Lu Shu-yuan228

On Nonlinear Wave Scattering and Dynamic Stress Concentrations in yon Karman's Plates with a Cicular CavityHu Chao Zhao Xing-hua232

Hysteresis Analysis for Piezoelectric CeramicsHuang.Li-du H.F.Tiersten239

The Forced Vibration Analysis of Symmetrically Laminated Composite Rectangular Plates with In-Plane Shear NonlinearitiesHuang Zai-xing Zhu Jin-fu243

On the Growth Rate of an Elliptic-Cylindric Void in Power-Law Viscous SolidsHuang Zhu-ping Liu Yi248

On the Characteristic Temperatures of the Martensitic Transformation in Shape Memory AlloysHuo Yong-zhong Zu Xiao-tao252

A Study of Effectiveness of High Ductility Aseismic Joint Spliced Pile Foundation Subjected to Strong Earthquake MotionsHiromitsu Izumi Fusanori Miura Takaaki Miyasaka Ken-ichi Fukushima257

Singular Perturbation for Nonlinear Bending of a Truncated Shallow Spherical Shell with Variable Thickness under Linear Distributed Loads along the Interior EdgeKang Sheng-liang261

From Fourier's Law to Extended Irreversible ThermodynamicsG.Lebon265

Thermoelastic Wave Stability in the Presence of Thermomechanical ConstraintsD.J.Leslie N.H.Scott270

Free Rayleigh Waves in Anisotropic Half-Space Coated with Prestressed Thin FilmJianbo Li C.S.Man277

Thermal Post-Buckling of Heated Elastic Rods with Immovably Clamped EndsLi Shi-rong Yang Jing-ning282

Nonlinear Dynamic Stability Analysis of Frames under Earthquake LoadingLi Zhong-xue Shen Zu-yan Deng Chang-gen287

Multi-scale Numerical Experiments about Multi-well Bulk EnergiesChristian Licht293

Dynamic Response of Plastic Spherical Shells under ImpactLiu Hai-yan Hu Yin-yan Ning Jian-guo297

Strength Analysis of Three-Dimensional Large Deflection Drillstring in AnnulusLiu Yah-qiang301

The Unstability and Liquefaction with One Dimension Finite of SoilLuXiao-bing Yang Zheng-sheng305

Effective Thermal Expansion and Pyroelectric Constants for Cracked Piezoelectric SolidsMai Yiu-wing Qin Qing-hua Yu Shou-wen309

On the Equilibrium Distributions of Dislocations in a Three-Dimensional BodySitiro Minagawa315

Critical Conditions of Coalesence between Microvoids in Perfectly Plastic MaterialsNing Jian-guo Huang Zhu-ping317

Numerical Simulation on 2-D Explosion Field with the Protective WallNing Jian-guo Wang Zhong-qi Zhao Heng-yang Yun Shou-rong322

Void Growth Models by Upper Bound ApproachPan Ke-lin Fang Jing327

Structured Deformations in Continuum MechanicsGianpietro Del Piero331

Nonlinear Dynamics of a Chain Drive CVTMarcus Pausch F.Pfeiffer336

Nonlinear Chain DynamicsFriedrich Pfeiffer342

On the Crack Opening Displacement in a Cracked Sheet after a Loading-Unloading CycleY.N.Radayev347

Hybrid Variational Principles for Non-smooth Structural ProblemsG.Romano F.Marotti de Sciarra M.Diaco353

The Effect of Finite Primary Deformations on the Dynamic Response of Incompressible Layered MediaGraham A.Rogerson Kevin J.Sandiford360

A Numerical Analysis of Planar Membrane of Elastic CordsJing-yu Shi365

Nonlinear Numerical Calculations of Metallic Jet Penetrating against Oblique Sandwich-PlateSong Shun-cheng Zhao Bao-rong Wang Jun369

Phase Transition in aThermoviscoelasticity ModelTang Shao-qiang373

Nonlinear Vibration of Shallow Conic Shells Subjected to Static LoadWang Xin-zhi Ma Lian-sheng Zhao Yong-gang Hong Xiao-bo377

Nonlinear Buckling for Sandwich Shallow Shells Accounting for Continuity Conditions of Stresses at InterfacesWang Zhi-wei Liu Ren-huai381

Resonance Buckling of Elastic Circular PlatesWei De-min Zhang Shan-yuan Yang Gui-tong387

Arc-Length Method for Differential EquationsWu Ji-ke W.H.Hui Ding Hong-li391

New Expressions of Nonlinear Aerodynamic Forces in Civil EngineeringXu Xu Cao Zhi-yuan396

Nonlinear Static and Dynamic Buckling of Composite Laminated Complete Spherical ShellsYang Yi-qian Zhang Duan Zhou Hong-ye Ma He-zhong Wang Tsun-kuei402

The Effect of Radial Temperature Distribution on Large Deflection of a Circular Plate with Temperature-Dependent Parameters of MaterialYin Yi-hui Chen Yu-ze Li Si-zhong407

Propagation of Shear Waves Through a Unilateral Constrained Elastic InterlayerYu Gui-lan Wang Yue-sheng Gai Bing-zheng411

Numerical Modelling of Localized Heat and Mass Flow in Porous Rock MassesZhao Chong-bin B.E.Hobbs H.B.Mühlhaus416

Rheological Analysis for Excavated Highslope of Rock MassZhang Gen-de420

The Exact Solutions of the Generalized Kuramoto-Sivashinsky Type Equations with the Dispersive EffectsZhang Jian-wen424

The Chaotic Behaviour of the Infinite.Beam on Nonlinear Elastic FoundationZhang Jian-wen Cai Zhong-min Yang Gui-tong428

Chaos Behavior of Viscoelastic Plates in Supersonic FlowZhang Neng-hui Cheng Chang-jun432

Hopf Bifurcation of a Impact DamperZhao Wen-li WangLin-ze Xie Jian-hua Luo Guan-wei437

Nonlinear Eelectromechanics of Circular Shallow Spherical Shells Controlled by PiezoelectricAcuatorsZhou You-he Zheng Xiao-jing441

Dynamical Behavior of Viscoelastic Rectangular PlatesZhu Yuan-yuan Zhang Neng-hui Fusanori Miura445

Ⅲ．FLUID MECHANICS451

Finite Element Solution for Two-Phase Fluid Flow in Deforming Porous MediaDong Ping-chuanXu Xiao-he Pan Xue-jun451

Dispersion in Newtonian-Dipolar Poiseuille Flow and Diffusion CoefficientsDong Shou-sheng Lu Zhang-ji Zheng Guang-ping458

Chaotic Lines of Force and Complex Topological Structures of Force-Free Magnetic FieldsFeng Qing-zeng464

Numerical Simulations of Large Falling DropsLouis Gottesdiener Denis Gueyffier Renee Gatignol Stephane Zaleski469

Theoretical Analysis and Calculation of a Nonlinear Self-Excited Oscillation Model for Equatorial Eastern Pacific Air-Sea CouplingHuang Si-xun Xiang Jie Han Wei474

Superposition about the 3D Vortex Solutions of the Fluid Dynamic EquationHuang Yong-nian Hu Xin479

Recent Results in the Nonlinear Stability Convection Problems with Inclined Temperature GradientP.N. Kaloni Qiao Zong-chun485

Analysis of Effect of Geometric Parameters on Stability of Natural Convection in Porous MediaKong Xiang-yan Chen Guo-quan489

Dynamics of Bubble Coalescence in Non-Newtonian Fluids:a Chaotic ApproachHuai Z. Li Youssef Mouline Lionel Choplin No？l Midoux493

Research on Nonlinear Stability of Swirling Jet FlowLin Jian-zhong Zhou Ze-xuan497

A General Variational Theory of Multipoint Inverse Design of 2-D Transonic Cascades Based on an Artificial Flow-Oscillation ModelLiu Gao-lian502

Higher Order Theory of Taylor's Shear Dispersion for Unsteady FlowsLiu Yu-lu Lu Zhi-ming509

Nonlinear Fluid-Structure Interaction during Two-Dimensional Water ImpactLuChi-hua He You-sheng513

Hamiltonian Formulation of Nonlinear Water Waves in a Two-Fluid SystemLu Dong-qiang Dai Shi-qiang Zhang Bao-shan518

The Attenuation on Solution of Three-Helmholtz EquationPan Jia-qing522

A New Approach to Numerical Solutions in the Linear Stability Problem of Non-Newtonian FluidsQiao Zong-chun528

On a New Simplicity of TurbulenceShe Zhen-su532

Application of Differential Quadrature Method to Solve Entry Flow of Viscoelastic FluidSun Jian-an Zhu Zheng-you534

The Regularity of Generalized Solution for Non-stationary Flow of Incompressible Non-Newtonian Viscous Fluids through Slit DiceSun Ying-fei Zhou Mei-ke Fan Tian-you539

Numerical Simulation of Flow Separation over a 2D Blunt BodyTan Fa-sheng Weng Pei-fen Xia Nan Dai Shi-qiang543

Lower Bound Disturbance Evolution for the Nonlinearly Unstable Basic Flow in the Phillips ModelXiang Jie Mu Mu548

Nonlinear Interactions between Bores and BodiesD.C. Wan S.Q.Dai G.X. Wu554

Analysis of the Skin Friction Pattern on a Plane Wall in the Three Dimensional Viscous FlowWang Xian560

Nonlinear Waves in a Fluid-Filled Elastic TubeJin E. Zhang Theodore Y. Wu566

A Class of Singular Nonlinear Differential Equations Arising in the Theory of Power Law Fluids（Ⅰ）Zheng Lian-cun He Ji-cheng572

A Class of Singular Nonlinear Differential Equations Arising in the Theory of Power Law Fluids（Ⅱ）Zheng Lian-cun He Ji-cheng Zhang Jing576

Similarity Solutions to a Class of Boundary Layer Problems in the Theory of Non-Newtonian FluidsZheng Lian-cun He Ji-cheng Wu Bin580

Ⅳ．NONLINEAR DYNAMICS584

Asymptotic Investigation of Free Nonlinear Oscillations for Systems with Finite SizesI.AndrianovN.Polyakov V.Danishevsky584

Radiation of Taills by Solitary Wave PulsesD.C Calvo T.R..Akylas588

Global Bifurcations of the Forced mKdV-Burgers EquationCao Qing-jie Chen Yu-shu Zhang Tian-de W.G.Price K.Djidjeli E.H.Twizell593

Calculation of Limit CyclesH.S.Y. Chan K.W. Chung Z.Xu597

An Open-Plus-Closed-Loop Control for Chaos in Nonlinear OscillationsChen Li-qun Liu Yan-zhu602

Bifurcation and Chaos in the Normal fom NetworkChen Yong-hong Xu Jian-xue Fang Tong607

Singular-Value Decomposition and State Space Reconstruction from Chaotic Time SeriesChen Yu-shu Ma Jun-hai Liu Zeng-rong612

Peakons and Solitary Shock Waves in Compressible Hyperelastic RodsHui-Hui Dai620

Essential Manifold Reduction and Nonlinear Quasi-Geostrophic WavesDuan Jin-qiao Darryl D.Holm622

Heteroclinic Chains of a Higher Order Ginzburg-Landau Amplitude EquationDuan Jin-qiao Li Ji-bin626

Dynamical Difference between Nonlocal and Local Burgers EquationsDuan Jin-qiao FunXin-chu Janpou Nee630

Stability of Nonlinear Two-Frequency Oscillation of Cylindrical ShellsK.O.Eneremadu Jean W.Zu F.P.J.Rimrott634

A New Closure Method for Randomly Excited Nonlinear OscillatorsEr Guo-kang641

The Mechanism of Controlling Chaos by Weak Periodic PerturbationFeng Shi-fu Liu Zeng-rong645

Chaos and Domain Formation in an Inhomogeneous Coupled Map LatticeM. Funakoshi R.Higuehi M. Yamanaka650

Integral Principles for Nonlinear Nonholonomic SystemsQ.Ghori Naseer Ahmed654

Scaling in Bifurcations of Photoabsorption SpectraMao Jian-min657

Fixed Point Calculation of Chaotic Half-WavesSilvio Nocilla M.S. Oggiano661

Global Formulation of Generalized Chaplygin's Equations of Constrained Mechanical SystemsGuo Yong-xin Wang Ji-hai Mei Feng-xiang665

Period-Adding Sequences and Their Scaling in a Multiple Devil's StaircaseHe Da-ren Qu Shi-xian670

Bifurcations and Chaotic Motions of a Forced Nonlinear Oscillating SystemMiin-nan.Huang Yoshihiro Tsuda Atsuo Sueoka674

Stochastic Stability of Quasi-Integrable-Hamiltonian Systems with Gaussian White Noise ExcitationsHuang Zhi-long Zhu Wei-qiu679

A Parametrically Excited System Studied by Dynamic Branch Switching MethodA.Y.T.Leung Ge Tong684

The Unification of the Lindel？f Model and Vakonomic ModelLiang Li-fu Zhang Yao-liang Chen Wei-dong690

Hopf Bifurcation in a Model of a Delayed Neural NetworkLin Yi-ping Li Ji-bin695

Lie Symmetries and Conserved Quantites of Holonomic Systems in Phase SpaceLiu Rong-wan Fu Jing-li699

Bifurcation in a Perturbed Quintic Hamiltonian SystemLiu Zheng-rong Li Ji-bin Yang Li-jun702

The Motion of Spiral Wave Tips in Excitable MediaLu Qi-shao Liu Shen-quan707

Hopf Bifurcations of a Two-Degree-of-Freedom Vibro-impact System in Weak and Strong ResonanceCasesLuo Guan-wei Xie Jian-hua Sun Xun-fang711

Dynamics Algebra and Its ApplicationMei Feng-xiang Zhang Yong-fa Shi Rong-chang716

Crises and Riddling Behavior of 2-Dimensional Symmetric Chaotic SystemsTang Yun Zhang Jian-ying719

Approximate Inertial Manifolds under Spline Wavelet Basis in Weakly Damped Forced KdV EquationTianLi-xin Zhao Jie-wen Lin Yu-rui725

Vibrational Synchronization in Euler's Dynamically Buckling ProblemWu Feng-min Li Qiao-wen Xu Zhi-jun730

Lie Symmetries and Conserved Quantities of Nonholonomic Variable Mass SystemsWu Run-heng Mei Feng-xiang Zhang Yong-fa735

On Chaotic Transport of Substrates in Biofluid MechanicsXu Yao-huan739

Obverse and Reverse Twist Chaos and Multi-Pulse Jumping Orbits of Sine-Gordon EquationXu Zhen-yuan Ma Heng-xin744

Nonlinear Forced Vibrations of Viscoelastic Moving BeltsZhang Li-xin Jean W.Zu748

Local and Global Bifurcations in the Rolling Motions of the ShipZhang Wei Chen Yu-shu754

A Study of Conservation Laws of Systems with Unilateral Constraints by Means of the Differential Variational PrinciplesZhang Yi Mei Feng-xiang759

Ⅴ．MATHEMATICAL METHODS IN MECHANICS764

Estimation of Attraction Domain and Convergence Rate of Hopfield Continuous Feedback Neural NetworkCao Jin-deZhou Dong-ming764

Classification of Phase Portrait about Planar Quintic Z6-Equivariant Vector FieldChen Long-wei Liu Zheng-rong769

The Existence of Global Weak Solution for a Quasilinear Hyperbolic Equations with DissipationChen Sang-lin Hou Wei-geng773

Oscillation Criteria of Solutions to Partial Differential Equations with Functional ArgumentsDong Ying Li Chong-xiao Jin Ming-zhong779

The Galerkin Approximation of a Kind of Nonlinear Operator Equation for Boundary Value ProblemDing Rui Ding Fang-yun Zhang Ying784

On the Stability for a Class of Discrete Dynamical SystemsFeng Bin-lu Yu Yuan-hong789

Nonlinear Heat Conduction Equation with Magnetic Field Phase Transformation and its Numerical AnalysisGuan Yi-hong Chen Tie-li Zhang Jia-tao Wang Hong-gang794

On Weak Solution of a Hyperbolic Hemivariational InequalityGuo Xing-ming801

Forced Oscillation of Strongly Nonlinear SystemLi Chong-xiao Jin Ming-zhong Dong Ying804

Nonlinear Riomann-Hilbert Problem for the First Order Elliptic System with the General FormLi Ming-zhong809

The Existence and Uniqueness of the Solution of the Inverse Problem of 1-D Wave EquationLi Zhi-bin813

Classification of Phase Portraits about Planar Quintic Z 5-Equivariant Vector FieldsLi Yah-mei Liu Zheng-rong817

A Class ofNonlinear Inverse Boundary Value Problems with Variable Free TermLi Xing821

Representations for 4th-Order Tensor-Valued Functions of a 2nd-Order Symmetric TensorLiang Hao-yun J.Betten824

Homotopy Analysis Method:a New Analytical Method for Nonlinear Problems without Small ParametersLiao Shi-jun829

Nonexistence of Positive Solution of a Class of 2-D Nonlinear Discrete Dynamics SystemsLiu Shu-tang Yang Jun Guan Xin-ping834

New Researches on the Percolation Phenomena Using an Entropy Related to Cluste DistributionsHiroshi Ohnishi Makoto S.Watanabe839

Indeterminate Equation and the Soliton Solution of KdV EquationPan Zu-liang Zhu Jian-xin Zheng Ke-jie843

On the instability of Incompressible Helium-2 Complete EquationShih Wei-hui Chen Da-duan848

Existence of Generalized Solution for a Class of Partial Differential Equations with Nonhomogeneous Boundary ConditionSun Ying-fei Li Xian-fang Zhou Mei-ke854

Ishikawa Iterative Process with Errors for Nonlinear Strongly Pseudo-Contractive MappingXu Yu-guang Mao Jian-feng858

Bifurcation and Uniqueness of Periodic Solution for a Three-Dimensional SystemYang Qi-gui862

Fractal Networks and Phase Transition in PercolationMakoto S.Watanabe867

Classification of Phase Portrait about Planar Quintic Z4-Equivariant Vector FieldWu Kai-teng Cao Hong-jun873

Studies on the Critical Behaviors of Dynamic Buckling of Inelastic Shells under Impact TorqueMa Hong-wei878