Bordas, S.Rabczuk, T.Zi, G.2008-06-192008-06-192008Bordas, S., Rabczuk, T., Zi, G. (2008) Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment. Engineering Fracture Mechanics, 75(5), pp. 943-960.http://hdl.handle.net/10092/705This 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.enExtended element free Galerkin method (XEFG)Discontinuous enrichmentCohesive cracksLagrange multipliersDynamic fractureLarge deformationsHigh velocity impactJournal ArticleFields of Research::290000 Engineering and Technology::290500 Mechanical and Industrial Engineering::290501 Mechanical engineeringFields of Research::290000 Engineering and Technology::291400 Materials Engineeringhttps://doi.org/10.1016/j.engfracmech.2007.05.010