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Application of the weight function method to two-dimensional elastodynamic fracture mechanics

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Abstract

In this paper, the weight function method is used for two-dimensional mixed-mode crack analyses of clastostatic and elastodynamic problems. By the use of the Laplace transformation method and an indirect boundary element method, the dynamic stress intensity factors for a finite sheet containing a central or an edge crack are evaluated. A Green's function method is introduced which depends on the weight function for an impulsive applied load. The Green's function can be used to determine stress intensity factors for arbitrary time dependence of the boundary conditions. The stress intensity factors obtained by the weight function method are compared where possible, with existing solutions.

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Author notes

  1. P. H. Wen

    Present address: Central-South University of Technology, Changsha, P.R. China

  2. D. P. Rooke

    Present address: Defence Research Agency, GU14 6TD, Farnborough, Hants, UK

Authors and Affiliations

  1. Wessex Institute of Technology, Ashurst, SO40 7AA, Southampton, U.K.

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

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  1. P. H. Wen
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  2. M. H. Aliabadi
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  3. D. P. Rooke
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Wen, P.H., Aliabadi, M.H. & Rooke, D.P. Application of the weight function method to two-dimensional elastodynamic fracture mechanics. Int J Fract 76, 193–206 (1996). https://doi.org/10.1007/BF00048286

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  • DOI: https://doi.org/10.1007/BF00048286

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