ABSTRACT
In this chapter, both the displacement and stress languages of two-dimensional elastodynamics are used to consider a number of typical isothermal and nonisothermal elastic waves. The waves of isothermal elastodynamics include (a) two-dimensional plane progressive waves in a homogeneous isotropic infinite elastic body, (b) the surface waves propagating in a homogeneous isotropic elastic semispace, and (c) the stress waves produced by the initial stress and stress-rate fields in an infinite elastic body; while those of nonisothermal elastodynamics include (1) dynamic thermal stresses in an infinite elastic sheet subject to a discontinuous rectangular temperature field, and (2) dynamic thermal stresses produced by an instantaneous concentrated heat source in an infinite elastic sheet. The two-dimensional stress progressive waves, the stress waves due to the initial stress and stress-rate fields, as well as the dynamic thermal stresses due to an instantaneous concentrated heat source, are discussed here for the first time. A number of problems, with solutions provided in the Solutions Manual, conclude the chapter.
