Elasticity

Abstract

We now collect all the results of Chap. XII that are pertinent to elasticity. p(z,t) is the position of material point z of body B at time t. We define

$$F \equiv Pz,C \equiv F* \cdot F.$$

(1.1)

The classical form of the balance of linear momentum is

$$\nabla \cdot T* + f = \rho Ptt$$

(1.2)

where T is the first Piola-Kirchhoff stress tensor, f is the prescribed body force intensity per unit reference volume, and ρ is the mass density per unit reference volume.