A new formulation for wave propagation in an anelastic medium is developed. The phenomenological theory of linear viscoelasticity provides the basis for describing the attenuation and dispersion of seismic waves. The concept of a spectrum of relaxation mechanisms represents a convenient description of the constitutive relation of linear viscoelastic solids; however, Boltzmann's superposition pr...

Though implicit constitutive relations have been in place for a long time, wherein the stress, the strain (or the symmetric part of the velocity gradient), and their time derivatives have been used to describe the response of viscoelastic and inelastic bodies, it is only recently purely algebraic relationships between the stress and the displacement gradient (or the velocity gradient) have been...

We consider viscoelastic solids undergoing thermal expansion and exhibiting hysteresis effects due to plasticity or phase transformations. Within the framework of generalized standard solids, the problem is described in a 3D setting by the momentum equilibrium equation, the flow rule describing the dependence of the stress on the strain history, and the heat transfer equation. Under appropriate...

Abstract A numerical boundary element methodology is employed to understand how fractality intervenes when a 1D rigid rough profile indents linear viscoelastic half-plane. The focus is, in particular, on the dissipation and this influenced by statistical parameters, namely, mean square roughness $$h_{\rm rms}$$ h</mml:...

Abstract The basic ideas behind a contact mechanics theory for randomly rough surfaces are presented. is based on studying the interface at increasing magnification. At lowest magnification, no surface roughness can be detected and nature of between two solids in this limit determined using standard numerical methods (e.g., FEM). predicts how influences (or modifies) stress distribution interfa...