A NEW LOOK AT 2-D TIME-DOMAIN ELASTODYNAMIC GREEN-FUNCTIONS FOR GENERAL ANISOTROPIC SOLIDS

被引:31
|
作者
WANG, CY
ACHENBACH, JD
机构
[1] Center for Quality Engineering and Failure Prevention, Northwestern University, Evanston
关键词
D O I
10.1016/0165-2125(92)90025-W
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
2-D time-domain elastodynamic displacement Green's functions for general anisotropic solids are obtained by a new method. This method is based on the use of a cosine transform with respect to time and exponential Fourier transforms with respect to both spatial coordinates. By use of a change of variables and the homogeneity and symmetry of the problem, the inverse transforms are reduced to an integral which can be evaluated by a simple use of residue calculus. The solutions are expressed in terms of three wave fields. The field inside a wavefront corresponds to a complex root of a polynomial of order six with real coefficients. A simple relation between the spatial and time derivatives if found, and is used to reduce the corresponding stresses to a form that is directly applicable to the boundary element method. Numerical implementations are explained in some detail and are demonstrated by three examples.
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页码:389 / 405
页数:17
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