Large Deformations of Solids: Physical Basis and Mathematical Modelling

Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Sur Quelques Concepts Fondamentaux de la Mécanique....Pages 3-25
The Statistical Basis of Polycrystal Plasticity....Pages 27-40
Modelling of Finite Deformations of Anisotropic Materials....Pages 41-52
Microlocal Aspects of Finite Deformations in the Light of Nonstandard Analysis....Pages 53-62
Front Matter....Pages 63-63
Déformations Finies des Agrégats Métaux: Aspects Physiques et Métallurgiques....Pages 65-80
The Effect of Partial Reversibility of Dislocation Motion....Pages 81-98
Effective-cluster Simulation of Polycrystal Plasticity....Pages 99-106
Pseudoelasticity and Shape Memory....Pages 107-127
A Unified Elastic-Viscoplastic Theory with Large Deformations....Pages 129-140
Front Matter....Pages 141-141
Interaction between Physical Mechanisms and the Structure of Continuum Theories....Pages 143-161
Microstructure and Phenomenological Models for Metals....Pages 163-186
Study of the Constitutive Law for a Polycrystal and Analysis of Rate Boundary Value Problem in Finite Elastoplasticity....Pages 187-197
Thermodynamique et Viscoplasticité du Monocristal Métallique: Comparaison et Synthèse de Modèles à Variables Internes....Pages 199-221
Some Applications of the Self-consistent Scheme in the Field of Plasticity and Texture of Metallic Polycrystals....Pages 223-241
Fundamental Considerations in Micromechanical Modeling of Polycrystalline Metals at Finite Strain....Pages 243-265
Front Matter....Pages 267-267
Generalization of the Mandel—Spencer Double-slip Model....Pages 269-282
On the Structure of Single Slip and its Implications for Inelasticity....Pages 283-325
Kinematics in Plastically Deformed Rocks....Pages 327-347
A Theory for Coupled Stress and Fluid Flow Analysis in Jointed Rock Masses....Pages 349-373
Front Matter....Pages 375-375
L’Effet de la Formation des Surfaces de Glissement dans les Milieux Continus....Pages 377-392
Front Matter....Pages 375-375
On Large Deformations of Rock-type Transversely Isotropic Materials....Pages 393-407
Physical Bases for the Thermo-Hygro-Rheological Behaviours of Wood in Finite Deformations....Pages 409-432
Bifurcation par Localisation de la Déformation: Etude Expérimentale et Théorique à l’Essai Biaxial sur Sable....Pages 433-459
A Mechanical Description of Saturated Soils....Pages 461-475
Some Macroscopic Consequences of the Granular Structure of Sand....Pages 477-496
Back Matter....Pages 497-502