Investigation of Ground Shock Effects in Nonlinear Hysteretic Media: Report 3. A Note on the Plane Waves of Pressure and Shear in a Half-Space of Hysteretic Material

摘要

The problem of one dimensional plane wave propagation is considered in isotropic, nonlinear, hysteretic materials. Solutions for surface loads of step pressure and/or shear, in cases of loading or unloading are studied, and the presence of shocks and regions of continuous stress change are discussed. The mathematical models used are a generalization of conventional elastic models. The elastic moduli are assumed to be functions of a stress invariant, and the shear moduli are functions of both the same stress invariant and the stress deviators. Different expressions for the elastic moduli and the shear moduli are used during loading and unloading, leading to energy loss through hysteresis. (Author)