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Prediction of mode I crack growth resistance based on a comparative investigation of J-integral and energy dissipation rate concept

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Abstract

An energy dissipation rate concept is employed in conjunction with the J-integral to calculate crack growth resistance of elastic-plastic fracture. Different from Rice’s J-integral, the free energy density is employed in place of the stress working density to define an energy-momentum tensor, which yields that the slightly changed J-integral is path dependent regardless of incremental plasticity and deformational plasticity. The J-integral over the remote contour is split into the plastic influence term and the J FPZ-integral over the fracture process zone which is an appropriate estimate of the separation work of fracture. Finite element simulations are carried out to predict the plane strain mode I crack growth behavior by an embedded fracture process zone. It can be concluded that J-integral characterization is in essence a stress intensity-based fracture resistance similar to the K criterion of linear elastic fracture, and energy dissipation rate fracture resistance can be taken as an extension of the Griffith criterion to the elastic-plastic fracture.

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Authors and Affiliations

  1. Center for Composite Materials, Harbin Institute of Technology, Yi-Kuang Street, Harbin, 150080, People’s Republic of China

    Qi Lin He, Linzhi Wu, Ming Li & Hongjun Yu

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  1. Qi Lin He
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  2. Linzhi Wu
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  3. Ming Li
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  4. Hongjun Yu
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Correspondence to Qi Lin He.

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He, Q.L., Wu, L., Li, M. et al. Prediction of mode I crack growth resistance based on a comparative investigation of J-integral and energy dissipation rate concept. Acta Mech 215, 175–191 (2010). https://doi.org/10.1007/s00707-010-0329-2

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  • DOI: https://doi.org/10.1007/s00707-010-0329-2

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