ABSTRACT
In Chapter 3, the field equations describing a linear elastic solid were discussed. In this chapter, these field equations are used to formulate the boundary value problems of elastostatics and the initial boundary value problems of elastodynamics; in particular, the mixed boundary value problems of isothermal and nonisothermal elastostatics, as well as the pure displacement and the pure stress problems of classical elastodynamics are discussed. The Betti reciprocal theorem of elastostatics and Graffi’s reciprocal theorem of elastodynamics together with the uniqueness theorems are also presented. An emphasis is made on a pure stress initial boundary value problem of incompatible elastodynamics in which a body possesses initially distributed defects. The chapter contains both solved examples and end-of-chapter problems with solutions provided in the Solutions Manual; problems in which the stress reciprocity relation of incompatible elastodynamics are discussed deserve special attention.
