Effect of hydrostatic initial stress on wave propagation at an interface between two Green-Naghdi thermoelastic solid half-spaces. (English) Zbl 1207.35213
Summary: Green and Naghdi theory of thermoelasticity is employed to study the reflection and refraction at an interface between two thermoelastic solid half-spaces under hydrostatic initial stress. The amplitude ratios of the reflected and refracted waves are obtained for the incident plane waves. Numerical computations are carried out for a particular example of the model. The effect of hydrostatic initial stress is observed on the amplitude ratios of reflected and refracted waves.
MSC:
35L53 | Initial-boundary value problems for second-order hyperbolic systems |
74A15 | Thermodynamics in solid mechanics |
74B10 | Linear elasticity with initial stresses |
74J10 | Bulk waves in solid mechanics |