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Numerical implementation of the eXtended Finite Element Method for dynamic crack analysis

Nistor, Ionel and Pantalé, Olivier and Caperaa, Serge Numerical implementation of the eXtended Finite Element Method for dynamic crack analysis. (2008) Advances in Engineering Software, vol. 39 (n° 7). pp. 573-587. ISSN 0965-9978

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Official URL: http://dx.doi.org/10.1016/j.advengsoft.2007.06.003

Abstract

A numerical implementation of the eXtended Finite Element Method (X-FEM) to analyze crack propagation in a structure under dynamic loading is presented in this paper. The arbitrary crack is treated by the X-FEM method without re-meshing but using an enrichment of the classical displacement-based finite element approximation in the framework of the partition of unity method. Several algorithms have been implemented, within an Oriented Object framework in C++, in the home made explicit FEM code. The new module, called DynaCrack, included in the dynamic FEM code DynELA, evaluates the crack geometry, the propagation of the crack and allow the post-processing of the numerical results. The module solves the system of discrete equations using an explicit integration scheme. Some numerical examples illustrating the main features and the computational efficiency of the DynaCrack module for dynamic crack propagation are presented in the last section of the paper.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at Advances in Engineering Software website: http://www.sciencedirect.com/science/article/pii/S0965997807001391
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution: Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Laboratory name:
Laboratoire Génie de Production - LGP (Tarbes, France) - Conception Mécanique Assistée par Ordinateur - CMAO
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Deposited By: Olivier Pantalé

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