Three-dimensional thermoelastic wave motions in a half-space under the action of a buried source (Q5939390)

The propagation of coupled thermo-mechanical fields in an elastic half-plane is discussed. The novelty of the present approach lies in the three-dimensional description. Up to now, only the one-dimensional case was investigated. Here, the source of the motion is constituted of a concentrated heat flux source and of a concentrated point force source in an arbitrary imposed direction. Such a problem is of interest in underground nuclear explosions, in sudden heat radiation due to nuclear accidents, and in heat effects due to impulsive electromagnetic radiation. The behaviour of the system is described by a \(12\times 12\) system of equations comprising a group related to the field sources, and another group related to the space free of sources. To get a solution, multiple integral transforms are performed (Laplace-like ones). To obtain time and space solutions, some special inversion procedures (given previously by one of the authors) are employed. Since the integrands occurring in the transformed equations contain rapidly oscillatory terms exhibiting the so-called pseudo-pole behaviour, some accelerating summation procedures are used. For some cases of practical interest, numerical experiments are performed, and illustrating graphs are plotted.