Homogeneous Motions of Simple Bodies

Abstract

The constitutive equation of a simple material,

makes it plain that the response of a simple body to the class of all homogeneous motions, motions of the form

$$ \mathop x\limits_ \sim = \mathop F\limits_ \sim \left( t \right)\left( {\mathop X\limits_ \sim - {{\mathop X\limits_ \sim }_{0}}} \right) + \mathop x\limits_ \sim \left( t \right), $$

(3.24)