A boundary integral equation method for radiation and scattering of elastic waves in three dimensions.(English)Zbl 0551.73035
A vector boundary integral equation (BIE) formulation and numerical solution procedure is presented for problems of three-dimensional elastic wave radiation and scattering from arbitarily shaped obstacles. The formulation is explicitly in terms of surface traction and displacement, rather than wave potentials, and the BIE on which numerical work is based is written in a form entirely free of Cauchy principal value integrals. Indeed, the subsequent computational process, based on quadratic isoparametric boundary elements, renders all integrals free of singularities, so that ordinary Gaussian quadrature may be used. Numerical examples include scattering from spherical surfaces and radiation from a cube.
MSC:
| 74J99 | Waves in solid mechanics |
| 74S99 | Numerical and other methods in solid mechanics |
| 74J20 | Wave scattering in solid mechanics |
| 65R20 | Numerical methods for integral equations |
Keywords:
vector boundary integral equation;three-dimensional elastic wave radiation;scattering;arbitarily shaped obstacles;surface traction;displacement;free of Cauchy principal value integrals;quadratic isoparametric boundary elements;integrals free of singularities;Gaussian quadratureCite
Full Text:DOI
References:
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