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A finite element analysis of the singular stress fields in anisotropic materials loaded in antiplane shear
Author(s) -
Pageau Stephane S.,
Joseph Paul F.,
Biggers Sherrill B.
Publication year - 1995
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.1620380106
Subject(s) - antiplane shear , isotropy , classification of discontinuities , mathematical analysis , finite element method , anisotropy , stress field , shear (geology) , mathematics , geometry , stress intensity factor , mechanics , physics , structural engineering , materials science , engineering , optics , composite material
A finite element formulation is developed to determine the order and angular variation of singular stress states at material and geometric discontinuities in anisotropic materials subject to antiplane shear loading. The displacement field of the sectorial element is quadratic in the angular co‐ordinate direction and asymptotic in the radial direction measured from the singular point. The formulation of Yamada and Okumura 14 for in‐plane problems is adapted for this purpose. The simplicity and accuracy of the formulation are demonstrated by comparison to several analytical antiplane shear solutions for both isotropic and anisotropic multi‐material wedges and junctions with and without disbonds. The nature and speed of convergence of the eigensolution suggests that the solution presented here could be used in developing enriched elements for accurate and computationally efficient evaluation of stress intensity factors in problems having complex global geometries.