MLS-based variable-node elements compatible with quadratic interpolation. Part II: Application for finite crack element

Two-dimensional finite 'crack' elements for Simulation of propagating cracks are developed using the moving least-square (MLS) approximation. The mapping from the parental domain to the physical element domain is implicitly obtained from MLS approximation, with the shape functions and their derivatives calculated and saved only at the numerical integration points. The MLS-based variable-node elements are extended to Construct the crack elements, which allow the discontinuity of crack faces and the crack-tip singularity. The accuracy of the crack elements is checked by calculating the stress intensity factor under mode I loading. The crack elements turn out to be very efficient and accurate for simulating crack propagations, only with the minimal amount of element adjustment and node addition as the crack tip moves. Numerical results and comparison to the results from other works demonstrate the effectiveness and accuracy of the present scheme for the crack elements. Copyright (c) 2005 John Wiley & Sons, Ltd.
Publisher
JOHN WILEY SONS LTD
Issue Date
2006-01
Language
ENG
Keywords

MESH GENERATION SCHEME; FREE GALERKIN METHOD; INTERFACE-ELEMENT; FRACTURE-ANALYSIS; EDGE CRACKING; LEVEL SETS; PROPAGATION; TRANSITION; GROWTH; PLATES

Citation

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v.65, no.4, pp.517 - 547

ISSN
0029-5981
DOI
10.1002/nme.1452
URI
http://hdl.handle.net/10203/1814
Appears in Collection
ME-Journal Papers(저널논문)
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