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Singularities of cracks with generalized finite elements

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Singularities and Constructive Methods for Their Treatment

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1121))

Abstract

Pian's hybrid method is frequently used for computing stress intensity factors in fracture mechanics. It has been shown, however, that this method has its limitations. In using this method, it is found that the resulting stiffness matrix is often poorly conditioned and it is not possible to determine surface displacements of notch or crack zones accurately. Most of these aforementioned difficulties can be eliminated by using a modified hybrid stress model in combination with the displacement method. The proposed modified hybrid method will be shown to offer some significant advantages for plane, axi-symmetric and three dimensionel problems of fracture mechanics.

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Authors and Affiliations

  1. Institute of Solid Mechanics, Karlsruhe University, 7500, Karlsruhe, Germany

    E. Schnack

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  1. E. Schnack
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Editor information

Pierre Grisvard Wolfgang L. Wendland John R. Whiteman

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Dedicated to Prof. Dr. Dr. Heinz Neuber for his 78th birthday

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© 1985 Springer-Verlag

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Schnack, E. (1985). Singularities of cracks with generalized finite elements. In: Grisvard, P., Wendland, W.L., Whiteman, J.R. (eds) Singularities and Constructive Methods for Their Treatment. Lecture Notes in Mathematics, vol 1121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076275

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  • DOI: https://doi.org/10.1007/BFb0076275

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15219-4

  • Online ISBN: 978-3-540-39377-1

  • eBook Packages: Springer Book Archive

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