Linear Viscoelastic Behavior in Different Modes of Deformation

Abstract

Chapters 2 to 10 discussed linear viscoelastic behavior in terms of behavior in shear (cf. Sect. 2.1). We now enlarge our discussion to cover linear viscoelastic behavior in modes of deformation other than shear. To do this, we need to establish the viscoelastic analogs of the stress-strain relations of a general anisotropic purely elastic linear material (see Sect. 1.4). This is the subject of the first section of this chapter. In the next section we specialize these relations for a linear viscoelastic isotropic material. In Sect. 11.3, then, we discuss the behavior of such a material in different modes of deformation. Finally, in Sect. 11.4 we deal with the problem of interconverting the various response functions which characterize the behavior of an isotropic linear viscoelastic material in the modes of deformation we considered in Sect. 11.3.