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Calculation of mode III stress intensity factors by the weak-form quadrature element method

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Abstract

A weak-form quadrature element method is employed to calculate the mode III stress intensity factors based on the subregion generalized variational principle. A circular complementary energy region, where stresses are selected as variables, is divided at a crack tip, and a potential energy region, where displacements are chosen as variables, is adopted in the remote area. A system of algebraic equations is deduced eventually which can be solved for the stress intensity factors directly. The sensitivity of the involved parameters is discussed. High accuracy and high efficiency of the method are highlighted while solving several benchmark problems.

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Acknowledgments

The present work was supported by the National Natural Science Foundation of China (Grant No. 11402040), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20130191120047), the Fundamental Research Funds for the Central Universities of China (Grant Nos. CDJZR14205550, CDJZR12200063, and CDJZR12205527), and the Frontier and Application Basic Research Program of Chongqing Science and Technology Commission (Grant No. cstc2014jcyjA30002).

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Authors and Affiliations

  1. College of Civil Engineering, Chongqing University, Chongqing, 400045, China

    Minmao Liao, An Tang & Yan-Gao Hu

  2. Key Laboratory of New Technology for Construction of Cities in Mountain Area, Ministry of Education, Chongqing, 400045, China

    Minmao Liao & Yan-Gao Hu

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  1. Minmao Liao
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  2. An Tang
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Correspondence to Yan-Gao Hu.

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Liao, M., Tang, A. & Hu, YG. Calculation of mode III stress intensity factors by the weak-form quadrature element method. Arch Appl Mech 85, 1595–1605 (2015). https://doi.org/10.1007/s00419-015-1006-7

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  • DOI: https://doi.org/10.1007/s00419-015-1006-7

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