Authors: Z Q Yue H T Xiao L G Tham C F Lee E Pan
Publish Date: 2005/04/14
Volume: 36, Issue: 6, Pages: 459-474
Abstract
The present paper presents a boundary element analysis of pennyshaped crack problems in two joined transversely isotropic solids The boundary element analysis is carried out by incorporating the fundamental singular solution for a concentrated point load in a transversely isotropic bimaterial solid of infinite space into the conventional displacement boundary integral equations The conventional multiregion method is used to analyze the crack problems The tractionsingular elements are employed to capture the singularity around the crack front The values of the stress intensity factors are obtained by using crack opening displacements The numerical scheme results are verified with the closedform solutions available in the literature for a pennyshaped crack parallel to the plane of the isotropy of a homogeneous and transversely isotropic solid of infinite extent The new problem of a pennyshaped crack perpendicular to the interface of a transversely isotropic bimaterial solid is then examined in detail The crack surfaces are subject to the three normal tractions and the uniform shear traction The associated stress intensity factor values are obtained and analyzed The present results can be used for the prediction of the stability of composite structures and the hydraulic fracturing in deep rock strata and reservoir engineering
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