ABSTRACT
This chapter defines a body to be an assemblage of particles, occupying a region of space. The region of space occupied by a body is called a configuration. The body is deformation-free at its original configuration. The motion is described by the one-parameter set of continuous functions, relating the Cartesian components of the position vectors of points in the deformed configuration and the reference configuration. The convected base vectors contain all the information about the deformation in the neighborhood of a material particle. An alternative description of motion that characterizes the deformation process involves using a set of base vectors defined in the reference configuration. The Eulerian strain formulation starts from the same invariant definition of deformation as the Lagrangian formulation, but instead refers all quantities to the deformed configuration. The diagonal components of the Green strain tensor can each be interpreted in the same way as just shown for the uniaxially stretched plate.
