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Oscillatory crack tip triangular elements for finite element analysis of interface cracks
Author(s) -
Liu C. H.,
Huang Chunta
Publication year - 2003
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/nme.831
Subject(s) - finite element method , jacobian matrix and determinant , stress intensity factor , element (criminal law) , stiffness , structural engineering , point (geometry) , interface (matter) , geometry , numerical analysis , mathematics , mathematical analysis , materials science , engineering , composite material , capillary number , capillary action , political science , law
In this paper a special crack tip element has been developed in which displacements and stresses have the same behaviour as those of bi‐material interface cracks with open tips. The element degenerates into a traditional triangular quarter point element in cases of homogeneous cracks. An isoparametric co‐ordinate system (ρ, t) is defined in this study, and numerical techniques using these co‐ordinates to evaluate Jacobian matrices, shape function derivatives, and element stiffness matrices are developed. Also, equations calculating the complex stress intensity factor using displacements are obtained in this study. Numerical results are in good agreement with known analytical solutions in two examples. Copyright © 2003 John Wiley & Sons, Ltd.