Bibliothèque de L'IMIST/CNRST

Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling Thermoplasticity - Uniqueness and discontinuous bifurcations More comprehensive in scope than competitive titles, with detailed discussion of thermodynamics and numerical methods. Offers appropriate strategies for numerical solution, illustrated by discussion of specific models. Demonstrates each topic in a complete and self-contained framework, with extensive referencing.

Includes bibliographical references (p. [705]-735) and index.

Description based on print version record.

Front Cover; The Mechanics of Constitutive Modeling; Copyright Page; Contents; Preface; Chapter 1. Notations and Cartesian tensors; Chapter 2. Strain tensor; Chapter 3. Stress tensor; Chapter 4. Hyper-elasticity; Chapter 5. Cauchy-elasticity; Chapter 6. Representation theorems; Chspter 7. Hypo -- elasticity; Chapter 8. Failure and initial yield criteria; Chapter 9. Introduction to plasticity theory; Chapter 10. General plasticity theory; Chapter 11. Plastic collapse theorems; Chapter 12. Common plasticity models; Chapter 13. Nonlinear kinematic hardening laws