Chapter 1. Description of Deformable Solid Bodies
1.1. Some Mathematical Notations 18
1.2. Stress and Equilibrium 22
1.2.1. Equilibrium 22
1.2.2. Stress invariants and decomposition 25
1.3. Strain in Lagrangian and Eulerian Descriptions 26
1.3.1. Strain 26
1.3.2. Small deformation 28
1.3.3. Strain invariants and decomposition 30
1.4. Energy and Constitutive Relation 32
1.4.1. Deformation energy 32
1.4.2. A simple small deformation nonlinear elasticity model 34
1.4.3. Remarks on constitutive models 34
1.5. Large Deformation 35
1.5.1. Strain 35
1.5.2. Stress 37
1.6. Large Deformation Elasticity 38
1.7. Pseudoelasticity and superelasticity 40