Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment

Stéphane Bordas, Goangseup Zi, Timon Rabczuk

Research output: Chapter in Book/Conference paperConference paper

6 Citations (Scopus)

Abstract

This paper presents a three-dimensional, extrinsically enriched meshfree method for initiation, growth and coalescence of an arbitrary number of cracks in non-linear solids including large deformations, for statics and dynamics. The novelty of the methodology fashioned in this work is that only an extrinsic discontinuous enrichment and no near-tip/asymptotic enrichment is required. Instead, a Lagrange multiplier field is added along the crack front to close the crack along the front. This decreases the computational cost and removes difficulties involved with a branch enrichment. Numerical examples treated include the pull-out of a reinforcement bar from a concrete block, and a Taylor bar impact with very large deformation and fragmentation. The results are compared to experimental results, and other simulations from the literature, which shows the robustness and accuracy of the method.

Original languageEnglish
Title of host publicationIUTAM Symposium on Discretization Methods for Evolving Discontinuities - Proceedings of the IUTAM Symposium
Pages21-36
Number of pages16
Volume5
DOIs
Publication statusPublished - 2007
Externally publishedYes
EventIUTAM Symposium on Discretization Methods for Evolving Discontinuities - Lyon, France
Duration: 4 Sep 20067 Sep 2006

Publication series

NameSolid Mechanics and its Applications
Volume5
ISSN (Print)18753507

Conference

ConferenceIUTAM Symposium on Discretization Methods for Evolving Discontinuities
CountryFrance
CityLyon
Period4/09/067/09/06

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