Stress field for stationary cracks, aligned along the gradient, in functionally graded materials is obtained through an asymptotic analysis coupled with Westergaard’s stress function approach. The first six terms of the stress field are obtained for both opening mode and shear mode loading. It is observed that the structure of the terms other than and are influenced by the nonhomogeneity. Using this stress field, contours of constant maximum shear stress are generated and the effect of nonhomogeneity on these contours is discussed.
Issue Section:
Technical Papers
1.
Delale
, F.
, and Erdogan
, F.
, 1983
, “The Crack Problem for a Nonhomogeneous Plane
,” ASME J. Appl. Mech.
, 50
, pp. 609
–614
.2.
Schovanec
, L.
, 1986
, “A Griffith Crack Problem for an Inhomogeneous Elastic Material
,” Acta Mech.
, 58
, pp. 67
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.3.
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, J. W.
, 1987
, “Fracture of Nonhomogeneous Materials
,” Int. J. Fract.
, 34
(3
), pp. 3
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.4.
Westergaard
, H. M.
, 1939
, “Bearing Pressures and Cracks
,” ASME J. Appl. Mech.
, 6
, pp. A49–A53
A49–A53
.5.
Sanford
, R. J.
, 1979
, “A Critical Re-examination of the Westergaard Method for Solving Opening Mode Problem
,” Mech. Res. Commun.
, 6
(5
), pp. 289
–294
.Copyright © 2002
by ASME
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