General Continuum Mechanics and Constitutive Modeling starts with a comprehensive treatment of tensor algebra that is followed by coverage of strains, stresses, and thermodynamics. General principles for constitutive modeling are presented, including objectivity, Lie-derivative, and covariance, as are issues central to configurational mechanics, such as polyconvexity and invariance principles used to establish balance equations. The book includes a chapter on hyperelasticity which analyzes isotropic and anisotropic materials, and also discusses the distinction between energetic and entropic material response.
The finite element method and classic plasticity based on hypoelasticity are each covered, and the book concludes with a chapter covering plasticity based on hyperplasticity, including isotropy, anisotropy, thermoplasticity, and crystal plasticity.
The finite element method and classic plasticity based on hypoelasticity are each covered, and the book concludes with a chapter covering plasticity based on hyperplasticity, including isotropy, anisotropy, thermoplasticity, and crystal plasticity.
Table of Contents
1. Tensor algebra in general coordinates2. Kinematics
3. Stresses and balance equations
4. Thermodynamics
5. General principles for constitutive modeling
6. Configurational mechanics
7. Balance equations established using invariance principles
8. Convexity of strain energy function
9. Hyperelasticity
10. Finite element formulation of hyperplasticity
11. Plasticity based on hypo-elasticity
12. Plasticity based on hyperelasticity
