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Large Deformations of Solids: Physical Basis and Mathematical Modelling - Brossura

 
9789401080231: Large Deformations of Solids: Physical Basis and Mathematical Modelling

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crystalsactuallycontaineddislocations.Thecontinuumtheorieswhich datebackmorethanacenturysoughttoexplainmicroscopicdeforma­ tion in terms of abstract models involving mechanical elements of whichthespringand the dashpot wereprominentexamples. Froma strictly practical standpoint these continuum models still have great utilitytoday, particularlyinareaswhere the materialsaresocompli­ cated that the preferred route, linking microscopic behaviour with macroscopicbehaviour, is notyet available. Section3ofthe book is concernedthereforewiththecontinuumpointofviewformetals.

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Contenuti

Session I: General Concepts.- 1. Sur Quelques Concepts Fondamentaux de la Mécanique.- 2. The Statistical Basis of Polycrystal Plasticity.- 3. Modelling of Finite Deformations of Anisotropic Materials.- 4. Microlocal Aspects of Finite Deformations in the Light of Nonstandard Analysis.- Session II: Metals—Physical Point of View.- 5. Déformations Finies des Agrégats Métaux: Aspects Physiques et Métallurgiques.- 6. The Effect of Partial Reversibility of Dislocation Motion.- 7. Effective-cluster Simulation of Polycrystal Plasticity.- 8. Pseudoelasticity and Shape Memory.- 9. A Unified Elastic-Viscoplastic Theory with Large Deformations.- Session III: Metals—Continuum Point of View.- 10. Interaction between Physical Mechanisms and the Structure of Continuum Theories.- 11. Microstructure and Phenomenological Models for Metals.- 12. Study of the Constitutive Law for a Polycrystal and Analysis of Rate Boundary Value Problem in Finite Elastoplasticity.- 13. Thermodynamique et Viscoplasticité du Monocristal Métallique: Comparaison et Synthèse de Modèles à Variables Internes.- 14. Some Applications of the Self-consistent Scheme in the Field of Plasticity and Texture of Metallic Polycrystals.- 15. Fundamental Considerations in Micromechanical Modeling of Polycrystalline Metals at Finite Strain.- Session IV: Rocks and Composites.- 16. Generalization of the Mandel—Spencer Double-Slip Model.- 17. On the Structure of Single Slip and its Implications for Inelasticity.- 18. Kinematics in Plastically Deformed Rocks.- 19. A Theory for Coupled Stress and Fluid Flow Analysis in Jointed Rock Masses.- Session V: Soils.- 20. L’Effet de la Formation des Surfaces de Glissement dans les Milieux Continus.- 21. On Large Deformations of Rock-type Transversely Isotropic Materials.- 22. Physical Bases for the Thermo-Hygro-Rheological Behaviours of Wood in Finite Deformations.- 23. Bifurcation par Localisation de la Déformation: Etude Expérimentale et Theorique à L’Essai Biaxial sur Sable.- 24. A Mechanical Description of Saturated Soils.- 25. Some Macroscopic Consequences of the Granular Structure of Sand.

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