2-D ELASTODYNAMIC FUNDAMENTAL SOLUTION FOR DISTRIBUTED LOADS AND BEM TRANSIENT RESPONSE ANALYSES OF HALFPLANE PROBLEMS

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  • 分布載荷による2次元弾性体の基本解と半無限平面問題のBEM遷移応答解析

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A closed form solution for the 2-dimensional problem to evaluate the displacement and stress of an elastic fullspace subject to sudden distributed forces is developed. The force is expressed in a form of multinormal function of space and time variables over strips and time increments. The solution procedure is to utilize the Fourier-Laplace domain transform with the Cagniard-de Hoop method for the inversion. The application to the boundary-initial value problems is demonstrated for the Lamb's problem and for the seismic wave scattering propagation problem. The former makes the validation of the present solution and the latter provides the useful information on ground motions at irregular sites.

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