Abstract: The influence of a propagating discontinuity in the extrinsic body force and heat supply on the amplitude of induced shock and acceleration waves is studied. These waves are considered in the ...

Abstract: In a recent analysis, Chen and Gurtin have shown that whether a shock wave in a nonlinear viscoelastic material will grow, decay, or remain steady is directly related to whether the acceleration ...

Abstract: In this paper we consider the dynamic behavior of granular solids in the context of a one-dimensional, linearized theory. Uniqueness of solutions for unbounded domains is established and two ...

Abstract: In this study the growth and decay of one-dimensional acceleration waves in nonlinear viscoelastic solids are considered. The conditions governing the growth and decay, including the concept of ...

Abstract: In this paper we consider the propagation of small-amplitude, one-dimensional shock waves in a linear elastic mixture with binary chemical reactions. The effects of heat conduction and diffusion ...