# Four parallel non-symmetric Mode-III cracks with different lengths in a functionally graded material plane

Four parallel non-symmetric Mode-III cracks with different lengths in a functionally graded... The behavior of four parallel non-symmetric cracks with different lengths in a functionally graded material plane subjected to anti-plane shear stress loading was studied by the Schmidt method. The problem was formulated through Fourier transform into four pairs of dual integral equations, in which the unknown variables are the jumps of displacements across the crack surfaces. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. The results show that the stress intensity factors at the crack tips depend on the crack lengths, spacing of cracks and the material parameters. It was also revealed that the crack shielding effect presents in functionally graded materials. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Strength, Fracture and Complexity IOS Press

# Four parallel non-symmetric Mode-III cracks with different lengths in a functionally graded material plane

, Volume 5 (4) – Jan 1, 2009
24 pages

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# References (25)

Publisher
IOS Press
ISSN
1567-2069
eISSN
1875-9262
DOI
10.3233/SFC-2009-0098
Publisher site
See Article on Publisher Site

### Abstract

The behavior of four parallel non-symmetric cracks with different lengths in a functionally graded material plane subjected to anti-plane shear stress loading was studied by the Schmidt method. The problem was formulated through Fourier transform into four pairs of dual integral equations, in which the unknown variables are the jumps of displacements across the crack surfaces. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. The results show that the stress intensity factors at the crack tips depend on the crack lengths, spacing of cracks and the material parameters. It was also revealed that the crack shielding effect presents in functionally graded materials.

### Journal

Strength, Fracture and ComplexityIOS Press

Published: Jan 1, 2009

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