A Novel Time-Domain BIEM for Wave Propagation Analysis in Anisotropic Solids With Cracks
✍ Scribed by Ch. Zhang; A. Savaidis
- Publisher
- John Wiley and Sons
- Year
- 2002
- Weight
- 89 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1617-7061
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✦ Synopsis
Analysis of elastic wave propagation in anisotropic solids with cracks is of particular interest to quantitative nondestructive testing and fracture mechanics. For this purpose, a novel time-domain boundary integral equation method (BIEM) is presented in this paper. A finite crack in an unbounded elastic solid of general anisotropy subjected to transient elastic wave loading is considered. Two-dimensional plane strain or plane stress condition is assumed. The initial-boundary value problem is formulated as a set of hypersingular time-domain traction boundary integral equations (BIEs) with the crack-opening-displacements (CODs) as unknown quantities. A time-stepping scheme is developed for solving the hypersingular time-domain BIEs. The scheme uses the convolution quadrature formula of Lubich [1] for temporal convolution and a Galerkin method for spatial discretization of the BIEs. An important feature of the present time-domain BIEM is that it uses the Laplace-domain instead of the more complicated timedomain Green's functions. Fourier integral representations of Laplace-domain Green's functions are applied. No special technique is needed in the present time-domain BIEM for evaluating hypersingular integrals.