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Stress intensity factors for a penny‐shaped crack in a transversely isotropic layer bonded between two isotropic half spaces
Author(s) -
Ataberk N.
Publication year - 2003
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310062
Subject(s) - transverse isotropy , isotropy , stress intensity factor , integral equation , mathematical analysis , singular integral , quadrature (astronomy) , gaussian quadrature , materials science , mathematics , integral transform , gaussian , geometry , composite material , physics , fracture mechanics , nyström method , optics , quantum mechanics
In this paper, a problem in an elastic‐perfectly plastic dissimilar layered medium is considered. It is assumed that a transversely isotropic layer is sandwiched between two isotropic semi‐infinite half spaces, and contains a penny‐shaped crack located in its mid‐plane. The problem is formulated by using integral transform technique under uniform load and reduced to a singular integral equation. This integral equation is solved numerically by using Gaussian Quadrature Formulae. Stress intensity factors are given for various penny‐shaped crack sizes and transversely isotropic materials.