ABSTRACT
In this chapter we will summarize the set of differential equations that govern the motion of elastic bodies experiencing small deformations. This set of differential equations, together with the boundary and initial conditions, is a well-posed mathematical problem that we wish to solve via numerical methods. It is assumed that the reader is familiar with the derivation and use of these relations. They are presented here in rectangular Cartesian components without derivation. Index notation with summation convention is used. English letter indices have the range (1, 2, 3) and Greek letter indices have the range (1, 2).
