REFLECTION OF GENERALIZED THERMOELASTIC WAVES FROM THE BOUNDARY OF A HALF-SPACE

We investigated the problem of thermoelastic wave reflection from the insulated and isothermal stress-free as well as rigidly fixed boundaries of homogeneous isotropic solid half-spaces in the context of various linear theories of thermoelasticity, namely, Lord-Shulman, Green-Lindsay, Green-Nagdhi, coupled thermoelasticity, and uncoupled thermoelasticity. The ratios of reflection coefficients to that of incident coefficients are obtained for P- and SV-wave incidence cases. The results for partition of the energy for various values of the angle of incidence are computed numerically and presented graphically for aluminum-epoxy composite material in case of incident P- and SV-waves from the stress-free and rigidly fixed thermally insulated boundaries. The results obtained are discussed and compared in various models of thermoelasticity.     

NONLINEAR UNIAXIAL THERMOELASTIC WAVES BY THE METHOD OF CHARACTERISTICS

A method of characteristics is applied on a type of meshes called combination-shaped meshes to analyze wave propagation in coupled nonlinear thermoelastic materials. Locations of the leading wave front and the lagging wave front are determined. Jumps in variables across the wave fronts are also computed. Details are presented of the simulation process from the beginning of applied force impact to the end of computing time. A step-by-step procedure to determine the unknowns at different points of the combination-shaped meshes is outlined. Application of the method on the combination meshes is illustrated by two examples of wave propagation: one in a copper rod and the other in a cast iron rod with nonlinear properties and subjected to two different impact conditions.     

THE DISTURBANCE OF A UNIFORM HEAT FLOW BY TWO LINE CRACKS IN AN INFINITE ANISOTROPIC THERMOELASTIC SOLID

Integral transform techniques are used to determine the stress intensity factors of a pair of colinear line cracks that disturb a uniform heat flow in an anisotropic thermoelastic solid that is under uniaxial tension. A solution is given for the case in which the tension is large enough to ensure that the cracks open fully.