Geometry of Deformation
A deformation, in general, is a change in the shape or size of a body caused by the application of a force. Within the context of continuum mechanics, deformation is understood as the transformation of a body from one configuration to another. In the first two chapters, we will study deformation in terms of a pure geometrical description of changes in the shape of a body, regardless of the forces causing it. In this chapter, we confine our attention to two configurations without any regard for the sequence by which the second configuration is reached from the first. Both configurations are kept fixed in time and their geometrical relationship is described as a three-dimensional spatial mapping between them.