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TECHNICAL PAPERS

Analysis of the Driving Forces for Multiple Cracks in an Infinite Nonhomogeneous Plate, Part II: Numerical Solutions

J. Appl. Mech 66(2), 501-506 (Oct 25, 1999) (6 pages) doi:10.1115/1.2791075 History: Received June 16, 1998; Revised November 23, 1998

Abstract

In Part 1 of this work, an analytical model was developed for the fundamental solution for a crack embedded in an infinite nonhomogeneous plate. This fundamental solution is used here to generate the stress intensity factors and strain energy release rates for fully interactive multiple crack problems. Also, a numerical technique used in solving the singular integral equation in Part I is presented, along with a parametric study. The parametric study addresses the influence of crack distance, relative angular orientation, and the coefficient of nonhomogeneity on the crack driving forces. The strain energy release rate is recommended for use as a crack propagation criterion because it depends on the local material properties as well as all the remaining parameters contained in the stress intensity factors.

COPYRIGHT © 1999 by The American Society of Mechanical Engineers
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References

BiniendaWKArnoldSM1995Driving Force Analysis in an Infinite Anisotropic Plate with Multiple Crack InteractionsInternational Journal of Fracture662213245 [CrossRef]
ErdoganF1962On the Stress Distribution in Plates with Collinear Cuts Under Arbitrary LoadsProceedings of the Fourth U.S. National Congress of Applied Mechanics662 ASME New York547553
HoriiHNemat-NasserS1985Elastic Fields of Interacting InhomogeneitiesInt. J. Solids Structure662731745 [CrossRef]
KondaNErdoganF1994The Mixed Mode Crack Problem in a Non-Homogeneous Elastic MediumEngineering Fracture Mechanics662533545 [CrossRef]
ShbeebNI1998General Crack Problems in Functionally Graded MaterialsPh.D. dissertation The University of Akron Akron, OH
ShbeebNIBiniendaWKKreiderKL1999Analysis of the Driving Forces for Multiple Cracks in an infinite Nonhomogeneous Plate, Part I: Theoretical AnalysisASME JOURNAL OF APPLIED MECHANICS662492500 [CrossRef]

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