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Stress intensity factors calculation in anti-plane fracture problem by orthogonal integral extraction method based on FEMOL

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Abstract

For an anti-plane problem, the differential operator is self-adjoint and the corresponding eigenfunctions belong to the Hilbert space. The orthogonal property between eigenfunctions (or between the derivatives of eigenfunctions) of anti-plane problem is exploited. We developed for the first time two sets of radius-independent orthogonal integrals for extraction of stress intensity factors (SIFs), so any order SIF can be extracted based on a certain known solution of displacement (an analytic result or a numerical result). Many numerical examples based on the finite element method of lines (FEMOL) show that the present method is very powerful and efficient.

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Authors and Affiliations

  1. Chinese Academy of Sciences, Institute of Mechanics, Beijing, 100080, China

    Yongjun Xu

  2. Department of Civil Engineering, Tsinghua University, Beijing, 100084, China

    Si Yuan

Authors
  1. Yongjun Xu
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  2. Si Yuan
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Additional information

Project supported by the National Natural Science Foundation of China (Nos. 59525813 and 19872066).

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Xu, Y., Yuan, S. Stress intensity factors calculation in anti-plane fracture problem by orthogonal integral extraction method based on FEMOL. Acta Mech. Solida Sin. 20, 87–94 (2007). https://doi.org/10.1007/s10338-007-0710-4

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  • DOI: https://doi.org/10.1007/s10338-007-0710-4

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