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Modeling Quasi Static Crack Growth Models

 
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MessagePosté le: Jeu 24 Nov - 17:49 (2016)    Sujet du message: Modeling Quasi Static Crack Growth Models Répondre en citant




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KGaA, Weinheim Request Permissions Publication HistoryIssue online: 3 December 2012Version of record online: 3 December 2012Related content Articles related to the one you are viewingPlease enable Javascript to view the related content of this article.Citing Literature Number of times cited: 0. At the local equilibrium, the coupling between the quantities at two different levels of discretization is obtained by matching the virtual energies due to admissible variations of the main finite element and its constituent sub-elements. KGaA, Weinheim) Continue reading full article Enhanced PDFStandard PDF (148.0 KB) AncillaryArticle InformationDOI10.1002/pamm.201210058View/save citationFormat AvailableFull text: PDFCopyright 2012 WILEY-VCH Verlag GmbH & Co. ( 2012 Wiley-VCH Verlag GmbH & Co. Volume 12, Issue 1 December 2012 Pages 135–136 Previous article in issue: New three-dimensional finite elements with embedded strong discontinuities to model solids at failure Previous article in issue: New three-dimensional finite elements with embedded strong discontinuities to model solids at failure Next article in issue: Strain induced damage of ductile materials under compression Next article in issue: Strain induced damage of ductile materials under compression View issue TOC Special Issue: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt 2012; Editors: H.-D. Kraynyukova and C. In this approach, the finite elements at the failure-prone zone where cracks or shear bands, referred to as strong discontinuities which represent jumps in the displacement field, can form and propagate based on some failure criterion are treated as separate sub-boundary value problems which are adaptively discretized during the run time into a number of sub-elements and subjected to a kinematic constraint on their boundary. A linear displacement based constraint is applied initially which is modified accordingly as soon as a strong discontinuity propagates through the boundary of the main finite element. In addition, it is also possible to stop a propagating crack-tip in the middle of a finite element.

The conventional requirement of fine mesh in a possible failure zone is rendered unnecessary with the new approach thereby reducing the computational expense. Alber, N. Each sub-element becomes equally capable of developing a strong discontinuity depending upon its state of stress. Section 3Modeling quasi-static crack growth with the embedded finite element method on multiple levelsAuthorsArun Raina,Institute of Applied Mechanics (CE) Chair I, University of Stuttgart, 70550 Stuttgart, Pfaffenwaldring 7, GermanySearch for more papers by this authorChristian LinderCorresponding authorE-mail address: lindermechbau.uni-stuttgart.deInstitute of Applied Mechanics (CE) Chair I, University of Stuttgart, 70550 Stuttgart, Pfaffenwaldring 7, Germanyphone +49 711 685 66382, fax +49 711 685 66347Search for more papers by this authorFirst published: 3 December 2012Full publication historyDOI: 10.1002/pamm.201210058View/save citationCited by: 0 articles Citation tools Set citation alert Check for new citations Citing literature AbstractThe current work presents the multilevel approach of the embedded finite element method which is obtained by combining features of the method of domain decomposition with those of the standard embedded finite element method. Tropea

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