ABSTRACT

In this chapter we present a summary of the theory of elasticity including the concepts of force, deformation, stress, and strain. This is achieved using both the material description and the spatial description. The theory of elasticity is reviewed in this chapter based on the book of Lai et al.(1984).

Consider a body occupying a certain region of space at time t = to. Let X denote the position vector of a particle in the body measured from an origin point O (see Figure 2.1). Then, the motion of every particle is described by the equation