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The Element Free Galerkin method for dynamic propagation of arbitrary 3‐D cracks
Author(s) -
Krysl Petr,
Belytschko Ted
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990228)44:6<767::aid-nme524>3.0.co;2-g
Subject(s) - finite element method , galerkin method , bar (unit) , element (criminal law) , cube (algebra) , surface (topology) , mode (computer interface) , free surface , structural engineering , domain (mathematical analysis) , mathematical analysis , discontinuous galerkin method , set (abstract data type) , mathematics , geometry , computer science , mechanics , engineering , physics , meteorology , political science , law , operating system , programming language
A technique for modelling of arbitrary three‐dimensional dynamically propagating cracks in elastic bodies by the Element‐Free Galerkin (EFG) method with explicit time integration is described. The meshless character of this approach expedites the description of the evolving discrete model; in contrast to the finite element method no remeshing of the domain is required. The crack surface is defined by a set of triangular elements. Techniques for updating the surface description are reported. The paper concludes with several examples: a simulation of mixed‐mode growth of a center crack, mode‐I surface‐breaking penny‐shaped crack, penny‐shaped crack growing under mixed‐mode conditions in a cube, and a bar with centre through crack. Copyright © 1999 John Wiley & Sons, Ltd.