BOUNDARY ELEMENT SIMULATION OF SURFACE WAVES ON A DEFORMED HALF-SPACE
S. Yu. Litvinchuk, A. A. Belov, I. P. Markov, A. A. Ipatov, A. N. Petrov
Research Institute for Mechanics, Nizhny Novgorod, 603950 Russia
litvinchuk@mech.unn.ru
Keywords: трехмерные задачи, полупространство, слой, метод граничных элементов, вязкоупругость, пороупругость, анизотропия, обращение преобразования Лапласа, three-dimensional problems, half-space, layer, boundary element method, viscoelasticity, poroelasticity, anisotropy, inversion of the Laplace transform
Abstract
Homogeneous and two-layer half-spaces consisting of an anisotropic elastic, isotropic viscoelastic, or poroelastic material are considered. The Kelvin-Voigt model and the model with the Abel kernel are used as models of the viscoelastic material; the poroelastic material is studied within the framework of the model of the compressible Biot material. The case where the half-space contains a cavity is also considered. Propagation of surface waves is studied by the boundary element method. The numerical solution involves the method of collocations for a regularized boundary integral equation.
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