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Journal Articles International Journal for Numerical Methods in Engineering Year : 2014

The eXtended Finite Element Method for cracked hyperelastic materials: a convergence study

Abstract

The present work aims to look into the contribution of the extended nite element method for large deformation of cracked bodies in plane strain approximation. The unavailability of sucient mathematical tools and proofs for such problem makes the study exploratory. First, the asymptotic solution is presented. Then, a numerical analysis is realized to verify the pertinence of solution given by the asymptotic procedure, since it serves as an Xfem enrichment basis. nally, a convergence study is carried out to show the contribution of the exploitation of such method.
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Dates and versions

hal-02072859 , version 1 (19-03-2019)

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A. Karoui, K. Mansouri, Y. Renard, M. Arfaoui. The eXtended Finite Element Method for cracked hyperelastic materials: a convergence study. International Journal for Numerical Methods in Engineering, 2014, 100 (3), pp.222-242. ⟨10.1002/nme.4736⟩. ⟨hal-02072859⟩
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