2 Continuum Mechanics
This chapter contains an overview of some of the important concepts from continuum mechanics and establishes some of the notation and terminology that will be used in the rest of this document. The section begins by introducing the important concepts of deformation, stress and strain. Next the concept of hyperelasticity is discussed. Finally the concept of virtual work is discussed. This concept will be used later to derive the nonlinear finite element equations. For a more thorough introduction to the mathematics needed for continuum mechanics, the user can consult [23].
Table of contents
- Section 2.1 Vectors and Tensors
- Section 2.2 The Directional Derivative
- Section 2.3 Deformation, Strain and Stress
- Section 2.4 Hyperelasticity
- Section 2.5 Biphasic Material
- Section 2.6 Biphasic-Solute Material
- Section 2.7 Triphasic and Multiphasic Materials
- Section 2.8 Mixture of Solids
- Section 2.9 Equilibrium Swelling
- Section 2.10 Chemical Reactions
- Section 2.11 Fluid Mechanics
- Section 2.12 Fluid-Structure Interactions
- Section 2.13 Hybrid Biphasic Material