http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
1 online resource (xii, 745 pages) : illustrations
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.
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 -- Chapter 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 -- Chapter 14. Introduction to time-dependent material behavior -- Chapter 15. Creep and viscoplasticity -- Chapter 16. Nonlinear finite element method -- Chapter 17. Solution of nonlinear equilibrium equations -- Chapter 18. Integration of constitutive equations -- Chapter 19. Solution of dynamic finite element equations -- Chapter 20. Basic principles of thermodynamics -- Chapter 21. Thermodynamic framework for constitutive modeling -- Chapter 22. Plasticity, viscoplasticity and viscoeasticity -- Chapter 23. Thermo-plasticity -- Chapter 24. Uniqueness and discontinuous bifurcations -- A Convexity -- Minimiza tion of function subject to constraints.
Includes bibliographical references (pages 705-735) and index.
107350:107386 Elsevier Science & Technology