Open Access

ARTICLE

Determination of Crack Tip Fields in Linear Elastostatics by the Meshless Local Petrov-Galerkin (MLPG) Method

H.-K. Ching, R. C. Batra¹

1 Department of Engineering Science and Mechanics, MC 0219
Virginia Polytechnic Institute and State University
Blacksburg, VA 24061, USA

Computer Modeling in Engineering & Sciences 2001, 2(2), 273-290. https://doi.org/10.3970/cmes.2001.002.273

Abstract

It is shown that the MLPG method augmented with the enriched basis functions and either the visibility criterion or the diffraction criterion successfully predicts the singular stress fields near a crack tip. Results are presented for a single edge-cracked plate and a double edge-cracked plate with plate edges parallel to the crack axis loaded in tension, the single edge-cracked plate with one plate edge parallel to the crack axis clamped and the other loaded by tangential tractions, and for a double edge-notched plate with the side between the notches loaded in compression. For the first three problems, the stress intensity factors computed with the equivalent domain and the contour integrals are found to agree well with those available in the literature. For the edge-notched plate, results computed with the MLPG method agree well with those obtained from the finite element method.

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