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.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iv 6. Preface - p. ix 7. 1: Tensor algebra in general coordinates - p. 1 8. 2: Kinematics - p. 55 9. 3: Stresses and balance equations - p. 97 10. 4: Thermodynamics - p. 117 11. 5: General principles for constitutive modeling - p. 135 12. 6: Configurational mechanics - p. 187 13. 7: Balance equations established using invariance principles - p. 205 14. 8: Convexity of strain energy function - p. 221 15. 9: Hyperelasticity - p. 255 16. 10: Finite element formulation of hyperelasticity - p. 307 17. 11: Plasticity based on hypoelasticity - p. 315 18. 12: Plasticity based on hyperelasticity - p. 327 19. Bibliography - p. 369 20. Index - p. 381
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.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iv 6. Preface - p. ix 7. 1: Tensor algebra in general coordinates - p. 1 8. 2: Kinematics - p. 55 9. 3: Stresses and balance equations - p. 97 10. 4: Thermodynamics - p. 117 11. 5: General principles for constitutive modeling - p. 135 12. 6: Configurational mechanics - p. 187 13. 7: Balance equations established using invariance principles - p. 205 14. 8: Convexity of strain energy function - p. 221 15. 9: Hyperelasticity - p. 255 16. 10: Finite element formulation of hyperelasticity - p. 307 17. 11: Plasticity based on hypoelasticity - p. 315 18. 12: Plasticity based on hyperelasticity - p. 327 19. Bibliography - p. 369 20. Index - p. 381
