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Wen, P. H.; Aliabadi, M. H.; Rooke, D. P.

Three-dimensional dynamic fracture analysis with the dual reciprocity method in Laplace domain. (English) Zbl 0953.74076

Eng. Anal. Bound. Elem. 23, No. 1, 51-58 (1999).
Summary: The dual reciprocity boundary element method has been developed in Laplace domain for the analysis of three-dimensional elastodynamic fracture mechanics mixed-mode problems. The boundary element method is used to calculate the unknowns of transformed boundary displacement, and traction and domain integrals in the elastodynamic equations are transformed into boundary integrals by the use of dual reciprocity method. The transformed dynamic stress intensity factors are determined by the crack opening displacement directly in the Laplace domain. By using Durbin’s inversion technique, we obtain the dynamic stress intensity factors in the time domain. Several numerical examples demonstrate good agreement with existing solutions.

Cited in 3 Documents

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74R10 Brittle fracture

Keywords:

dual reciprocity boundary element method; Laplace domain; three-dimensional elastodynamic fracture mechanics; mixed-mode problems; dynamic stress intensity factors; crack opening displacement; Durbin’s inversion technique
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References:

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