The dynamic contact of an impactor and an elastic orthotropic plate when there are propagating thermoelastic waves

Abstract

The onset and propagation of longitudinal and transverse elastic waves and a temperature wave in a circular plate possessing cylindrical anisotropy is investigated. As a result of this the plate becomes deformed when there is a temperature shock or shock interaction with the heated body. The plate is assumed to be fairly extended and reflected waves are ignored when calculating the stress state. The onset of a temperature wave is possible if the non-classical hyperbolic-type heat-conduction equation is employed. To determine the displacements of points outside the contact region a ray method is employed based on the use of power series with respect to time and a spatial coordinate as well as compatibility conditions. The displacements and internal forces are determined in the form of sections of ray series apart from integration constants, which are found from the contact conditions. The temperature effect on the propagating wave is investigated in the form of second-order discontinuity surfaces.