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- Home
- Contents
- Quick Navigation
- 1. Objectives and Applications
- 2. Governing Equations
- 3. Constitutive Laws
- 3.1 General Principles
- 3.2 Linear Elasticity
- 3.3 Hypoelasticity
- 3.4 Generalized Hookes Law
- 3.5 Hyperelasticity
- 3.6 Small Strain Viscoelasticity
- 3.7 Rate Independent Plasticity
- 3.8 Small Strain Viscoplasticity
- 3.9 Large Strain Viscoplasticity
- 3.10 Large Strain Viscoelasticity
- 3.11 Soils
- 3.12 Crystal Plasticity
- 3.13 Surfaces and Interfaces
- 4. Solutions to Simple Problems
- 5. Linear Elasticity
- 5.1 General Principles
- 5.2 Plane Problems: Airy Function Solutions
- 5.3 Plane Problems: Complex Variable Solutions
- 5.4 3D Static Problems
- 5.5 Plane Problems for Anisotropic Solids
- 5.6 Solutions to Dynamic Problems
- 5.7 Energy Methods
- 5.8 The Reciprocal Theorem
- 5.9 Dislocations
- 5.10 Rayleigh-Ritz method (Vibrations)
- 6. Plasticity
- 7. Intro to Finite Elements
- 8. Theory of FEA
- 9. Modeling Failure
- 10. Rods, Plates and Shells
- Appendix A: Vectors & Matrices
- Appendix B: Intro to Tensors
- Appendix C: Index Notation
- Appendix D: Polar Coordinates
- Appendix E: Misc. Derivations
- Problems
- FEA Codes
(c) A.F. Bower (2025)