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Part of the book series: Mechanics: Computational Mechanics ((MCOM,volume 1))

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Abstract

The weight function method is based on Rice’s (1972) interpretation of Bueckner’s (1971) original paper. The weight function for a crack problem is generally taken to be the normalized rate of change of surface displacements with respect to crack size for a reference state of loading. As shown by Rice (1972), this weight function acts as a Green’s function for the crack problem. That is, the solution to any fracture mechanics problem for the same geometry but different loading conditions can be obtained from the weight function for the reference set of loading conditions. The process involves an integration of the uncracked stress field times the weight function to arrive at the crack tip stress intensity factor for those imposed stresses.

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References

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© 1988 Kluwer Academic Publishers

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Cruse, T.A. (1988). Two-Dimensional Weight Function Evaluation. In: Boundary Element Analysis in Computational Fracture Mechanics. Mechanics: Computational Mechanics, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1385-1_8

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  • DOI: https://doi.org/10.1007/978-94-009-1385-1_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7118-5

  • Online ISBN: 978-94-009-1385-1

  • eBook Packages: Springer Book Archive

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