Kinematics of Continuous Media

Abstract

In a fixed Cartesian frame let x_i denote the coordinates of a material point in a configuration called a reference or initial configuration of an elastic body. (Non-repeated Latin subscripts will be assumed to range over the values 1, 2, 3.) Let y_i denote the coordinates of the same point in a deformed or final configuration. The displacement vector has components u_i = y_i - x_i.