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A critical appraisal of the Hashin failure criterion

Li, Shuguang; Sitnikova, Elena

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Abstract

The Hashin criterion is one the most popular failure criteria for fibre reinforce composites. It is critically appraised in this paper. The most significant feature of the criterion is failure modes introduced and the assumption that failure is determined by the traction on the failure plane. For this assumption, there has never been any justification provided in the literature, except the available arguments in the Mohr criterion, where the concept of plane failure as opposed to point failure was first introduced based on this assumption. However, the arguments there were applicable only to isotropic materials and, even so, they are not without exceptions. As contradictions to the assumption in the context of composite failure, three relatively simple cases have been considered in this paper, supported by physical evidence. In each case, failure is observed in a plane on which traction vanishes completely, to which the failure cannot be attributed. The assumption is therefore unfounded both theoretically and physically for anisotropic materials, which dismisses the validity of the Hashin criterion in turn.

Citation

Li, S., & Sitnikova, E. (2024). A critical appraisal of the Hashin failure criterion. Journal of Composite Materials, 58(29), 3045-3058. https://doi.org/10.1177/00219983241289488

Journal Article Type Article
Acceptance Date Sep 19, 2024
Online Publication Date Oct 1, 2024
Publication Date 2024-12
Deposit Date Jan 12, 2025
Publicly Available Date Jan 17, 2025
Journal Journal of Composite Materials
Print ISSN 0021-9983
Electronic ISSN 1530-793X
Publisher SAGE Publications
Peer Reviewed Peer Reviewed
Volume 58
Issue 29
Pages 3045-3058
DOI https://doi.org/10.1177/00219983241289488
Keywords Hashin criterion, Tsai-Wu criterion, Mohr criterion, failure plane, failure mode
Public URL https://nottingham-repository.worktribe.com/output/40291041
Publisher URL https://journals.sagepub.com/doi/10.1177/00219983241289488

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