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The eXtended finite element method for cracked hyperelastic materials: A convergence study
Author(s) -
Karoui A.,
Mansouri K.,
Renard Y.,
Arfaoui M.
Publication year - 2014
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4736
Subject(s) - finite element method , hyperelastic material , unavailability , convergence (economics) , mathematical proof , basis (linear algebra) , mathematics , plane stress , extended finite element method , mixed finite element method , work (physics) , element (criminal law) , computer science , calculus (dental) , structural engineering , geometry , mechanical engineering , engineering , medicine , statistics , dentistry , political science , law , economic growth , economics
SUMMARY The present work aims to look into the contribution of the extended finite element method for large deformation of cracked bodies in plane strain approximation. The unavailability of sufficient 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, because it serves as an eXtended finite element method enrichment basis. Finally, a convergence study is carried out to show the contribution of the exploitation of such method. Copyright © 2014 John Wiley & Sons, Ltd.