CONTINUUM MODELS AND DISCRETE SYSTEMS

Proceedings of the Eighth International Symposium on CONTINUUM MODELS AND DISCRETE SYSTEMS 1 1 - 1 6 June 1995 Varna, Bulgaria Editor Konstantin Z...
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Proceedings of the Eighth International Symposium on

CONTINUUM MODELS AND DISCRETE SYSTEMS 1 1 - 1 6 June 1995

Varna, Bulgaria

Editor

Konstantin Z Markov Faculty of Mathematics and Informatics University of Sofia Bulgaria

UNIVERSITATSBIBLIOTHEK HANNOVER TECHNISCHE INFORMATIONSBIBLIOTHEK

World Scientific Singapore »New Jersey London »Hong Kong

CONTENTS Preface

v

Henryk Zorski and 20 Years of CMDS Symposia

ix

PART I.

THERMODYNAMICS, TRANSPORT THEORY, STATISTICAL MECHANICS *RC RC

GL RC

RC RC

GL

RC

Self-organized Criticality in Statistical Mechanics J. Brankov

2

Critical Modelling Aspects: Granular Flows, Layering in Smectics G. Capru* & G. Muiknger

10

Hydrodynamic Interactions B. Cichocki

15

A Thermomechanical Approach of Martensite Phase Transition During Pseudoelastic Transformation of Shape Memory Alloys A. Chrysochoos & M. Lobel

21

Hamiltonian Description of Dissipative Processes (Abstract) R. Kotowski

30

Micromechanics-based Constitutive Model of Single Crystalline Shape Memory Alloys with Loading Rate Effect C. Lexcellent. B. Goo, Q. Sun & J. Bernardini

31

Inclusion of Intrinsic Spin of Discrete Ions in a Continuum Theory of Crystalline Magnetism D. F. Nelson & B. Chen

39

Self-consistent Approach to Martensitic Alloys E. Patoor. A. Eberhardt & M. Berveiller

49

*GL — General Lecture, RC — Research Communication * Names underlined — Lecturers

XII

GL

RC

Mechanics and Transport of Quasiparticles in Deformable Lattice Structures D. Pushkarov

55

Viscous Flow, Thermal Expansion and Relaxation in Amorphous Metallic Alloys: Theory and Experiment K. Russew & L. Stojanova

73

RC

Material Forces Acting on Phase-transition Fronts in Thermoelasticity C. Trimarco & G. Maugin 82

RC

Deterministic Chaos in Systems in Equilibrium (Abstract) H. Zorski

89

PART II.

CONTINUUM MECHANICS OF COMPLEX FLUIDS AND DEFORMABLE SOLIDS WITH MICROSTRUCTURE RC

RC

RC

RC

Bounds for the Effective Properties of a Nonlinear Two-phase Composite Dielectric K. Barrett & D. Talbot

92

Homogenization Problem for Bulk Diffusional Creep V. Berdichevsky & B. Shoykhet

100

Nonlinear Behavior in a Composite Medium: The Importance of Resonances and Percolation D. Bergman

Ill

On the Defects in Nematic Liquid Crystals P. Biscari

118

RC

Morphologically Representative Pattern-based Modelling in Elasticity M. Bornert 123

RC

Incompressible Fibre-reinforced Composites: Effective Elastoplastic or Viscoelectric Behavior L. Bourgeois, E. Herve & Y. Rougier

132

RC

RC

RC RC GL

GL RC

RC

RC RC

RC

RC

Elastic-plastic Behavior of Elastically Homogeneous Materials with a Random Field of Inclusions V. Buryachenko & F. Rammerstorfer

140

Self-consistent Analysis of Elastic Wave Propagation in Fibre-reinforced Composites P. Bussink & P. Me

148

Differential Geometry of Continua with Microstructure M. de Leon & M. Epstein

156

Structured Stress Fields G. del Piero

164

Mathematical Modelling of Structure-sensitive Properties of Materials (Abstract) Ph. Duxbury

172

Geometrical Aspects of Uniformity in Elasticity and Plasticity M. Epstein

173

Models of the Intrinsic Convection in a Settling Suspension of Spheres F. Feuillebois, J. Blawzdziewicz, D. Brunean & R. Anthore

181

Fibre-reinforced Composites with Entirely Plastified Matrices — A Model of Thermomechanical Response K. Herrmann & I. Mihovsky

189

Morphological Modeling of Random Composites D. Jeulin, & A. Le Coent

199

Solids with Cavities of Various Shapes: Effective Moduli and Proper Density Parameters (Abstract) M. Kachanov

207

On the Essential Importance of Distinguishing Between the Effects of Deviatoric and Isotropic Parts of Stress Tensors in the Problem of Strength of Discrete Materials V. Kafka

208

Self-consistent Approach in the Problem of Wave Propagation Through Inhomogeneous Medium S. Kanaun

216

XIV

RC RC

RC

RC

RC GL

GL GL

RC

RC GL GL

The Overall Properties of Piezoactive Matrix Composite Materials V. Levin

225

Application of the Homogenization Method to the Viscosity of a Suspension of Fibres T. Levy & F. Perin

233

On a Statistical Parameter in the Theory of Random Dispersions of Spheres K. Markov

241

Microbuckling and Delamination Effects on the Compression Behavior of Materials with Layered Microstructure O. Minchev & F. Rammerstorfer

250

Elastic Percolation Behavior for Solid-Liquid Composites Ping Sheng & M. Zhou

258

Variational Methods for Estimating the Effective Behavior of Nonlinear Composite Materials P. Ponte Castaneda

268

Dynamics of Composite Materials F. Sabina

280

Overall Properties of Nonlinear Composites: Secant Moduli Theories and Variational Bounds P. Suquet

290

Effective Properties of an Elastic Body Damaged by Random Distribution of Microcracks J. Telega & B. Gambin

300

Rheology of Disordered Foam J. Turner

308

A Variational Theory for Biaxial Liquid Crystals (Abstract) E. Virga

316

Porous Media at Finite Strains K. Wilmanski

317

XV

RC

RC

On Some New Achievements in Nonlinear Mechanics of Media with Microstructure L. Zubov

325

Variational Principles and the c2-Formula for the Effective Conductivity of a Random Dispersion K. Zvyatkov

333

PART III. CONTINUUM THEORY OF LIVING STRUCTURES RC RC

Skew Lattice Continuum Model for Cancellous Bone T. Adachi. Y. Tomita & M. Tanaka

342

Why Does Skin Stay Smooth? The Dynamics of Epidermis in Statistical Equilibrium N. Rivier & B. Dubertret

350

PART IV.

DEFECT DYNAMICS, SYNERGETICS, SOLITONS, COHERENT STRUCTURES RC

Discrete Out of Continuous: Dynamics of Phase Patterns in Continua C. Christov 370

RC

Nonlinear Propagation of Wave Packets on an Elastic Substrate Coated with a Thin Plate B. Collet & J. Pouget

395

Solitons in Micropolar Crystals S. Erbay

404

RC GL

Synergetic Ordering of Defects in Metals under Particle Irradiation W. Prank. P. Hdhner, T. Klemm, C. Tolg & M. Zaiser

412

XVI

RC

GL

RC

RC

RC

RC

Non-Riemannian Stress Space Structure of Gravitation and Ferromagnetism from Distant Parallelism L. C. Garcia de Andrade

437

Long-wave Vibrations Localized at Planar Defects and Surfaces in Elastic Crystals A. M. Kosevich & A. V. Tutov

444

Identification of the Unstable Stationary Solutions of Navier-Stokes Equations at High Reynolds Numbers R. Marinova

452

Nonlinear Dynamics of a Two-dimensional Lattice Model for Ferroelastic Materials J. Pouget

461

Solitary-wave Solutions of a Generalized Wave Equation with Higher-order Dispersion Y. Steyt, C. I. Christov & M. Velarde

471

Equivalence Transformations of the Navier-Stokes Equations and the Inertial Range of Turbulence G. Unal

480

PART V. DISLOCATIONS AND PLASTICITY RC

RC

RC RC

Dislocation Dynamics and Plasticity by Means of Lagrange Formalism K.-H. Anthony & A. Azirhi

490

On the Nonsense of Incompatibility Condition in Continuum Theory of Dislocations P. Dhtzewski

499

Lorentz Symmetries in the Theory of Dislocations H. Giinther

507

Stochasticity in Dislocation Dynamics: An Effective Medium Approach to Plastic Deformation Phenomena P. Hdhner

514

XVII

GL RC GL RC RC

Dislocation Theory as a Physical Field Theory E. Kroner

522

Theory of Dislocations Based on the Resolution F = FeFp K. C. Le & H. Stumpf

538

Nonlocal Plasticity of Metals X. Lernoine, D. Muller & M. Berveiller

546

Some Gauge Ideas in Dislocation Theory J.-L. Marques

555

Multiaxial Viscoplastic Experiments Versus Tensor Function Representation M. Micunovic

564

RC

The Connection Between Micro- and Macro-properties at the ElasticPlastic Deformation of Metallic Polycrystals /. B. Sevostyanov 573

RC

Gravity Flow of Granular Materials in Converging Wedges and Cones A. J. M. Spencer & N. J. Bradley 581

RC

A Theory of Microstructural Instabilities During Plastic Deformation of Low-temperature Predeformed b.c.c. Metals M. Zaiser & P. Hahner

591

PART VI. FUNDAMENTALS OF FRACTURE MECHANICS RC GL RC

Damage on Meso-level in Oriented Reinforced Composites A. Baltov

600

Crack Layer Theory (Abstract) A. Chudnovsky & R. S. Li

606

On the Electroelastic Fracture Theory C. Dascalu

607

XVIII

RC

On a Model of Damage in Polymer Materials G. Draganova & K. Z. Markov

615

RC

The Mechanical Response of Cross-ply Ceramic Composites (Abstract) D. Erdman & Y. Weitsman 623

RC

Nonlocal Theory for Micromorphic Models of Damaged Materials E. Inan

625

Neutron Induced Embrittlement of WWER1000 Reactor Pressure Vessel Steels Tz. Kamenova

633

Fracture Mechanics of Concrete Composites C. Ouyang, M. A. Tasdemir & S.P. Shah

639

RC

RC

RC

Fracture and Electric Degradation of Piezoelectric Ceramics H. Sosa

646

Author Index

653

List of Participants

655