ABSTRACT

A homogeneous deformation is one in which points that initially are collinear remain so after the deformation. It follows that a plane will similarly remain a plane in such circumstances. Each volume element in the solid therefore experiences the same change in shape. Figure 10.1 illustrates the difference between a homogeneous and heterogeneous deformation. In this chapter, we describe deformations that alter the length and/or direction of vectors, i.e., physical deformations, with the initial and resultant vectors referred to a fixed reference frame.