A time-domain boundary element method (BEM) for transient dynamic crack analysis in two-dimensional, homogeneous, anisotropic and linear elastic solids is presented in this paper. Strongly singular displacement boundary integral equations (DBIEs) are applied on the external boundary of the cracked b
Dual reciprocity boundary element method in Laplace domain applied to anisotropic dynamic crack problems
✍ Scribed by E.L. Albuquerque; P. Sollero; P. Fedelinski
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 270 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0045-7949
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✦ Synopsis
In this paper the dual reciprocity boundary element method in the Laplace domain for anisotropic dynamic fracture mechanic problems is presented. Crack problems are analyzed using the subregion technique. The dynamic stress intensity factors are computed using traction singular quarter-point elements positioned at the tip of the crack. Numerical inversion from the Laplace domain to the time domain is achieved by the Durbin method. Numerical examples of dynamic stress intensity factor evaluation are considered for symmetric and non-symmetric problems. The influence of the number of Laplace parameters and internal points in the solution is investigated.
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This paper presents a new finite element formulation in the Laplace domain for both diffusion and wave equations with applications in the field of electrical engineering. With the aid of congruence transformation of matrices, the finite element equations in the Laplace domain are solved and time-dom