Three-dimensional crack initiation, propagation, branhing and junction in non-linear materials by an extended meshfree method without asymptotic enrichment

Bordas, S., Rabczuk, T. and Zi, G. (2008) Three-dimensional crack initiation, propagation, branhing and junction in non-linear materials by an extended meshfree method without asymptotic enrichment. Engineering Fracture Mechanics, 75(5), pp. 943-960. (doi:10.1016/j.engfracmech.2007.05.010)

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Abstract

This paper presents a three-dimensional, extrinsically enriched meshfree method for initiation, branching, 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 is that only an extrinsic discontinuous enrichment and no near-tip enrichment is required. Instead, a Lagrange multiplier field is added along the crack front to close the crack. This decreases the computational cost and removes difficulties involved with a branch enrichment. The results are compared to experimental data, and other simulations from the literature to show the robustness and accuracy of the method.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Bordas, Dr Stephane
Authors: Bordas, S., Rabczuk, T., and Zi, G.
Subjects:T Technology > TA Engineering (General). Civil engineering (General)
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Engineering Fracture Mechanics
Publisher:Elsevier
ISSN:0013-7944

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