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Hybrid crack-tip element and its applications

✍ Scribed by Dan Zeng; Noriko Katsube; Jinmiao Zhang; Wole Soboyejo

Book ID
104308441
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
232 KB
Volume
38
Category
Article
ISSN
0168-874X

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✦ Synopsis

A hybrid crack-tip element with a distribution of traction along the crack surfaces is developed. Following the Hellinger-Reissner variational principle, the reduced form of functional that involves only line integral is used. Linear superposition and approximate functions based on the linear elasticity theory are employed in the formulation. The accuracy of the developed special crack-tip element is demonstrated through comparison with the analytical results for a crack in an inΓΏnite (large) plate. The e ciency of the method is veriΓΏed against numerical results obtained by ABAQUS through an edge-crack boundary value problem. The developed crack-tip element is also applied to problems involving interaction of a main crack with random arrays of micro-cracks subjected to a constant traction on the crack surfaces. The e ect of constant traction on the stress intensity factors of the main crack is analyzed.

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