A Note on the Crack Problem for a Nonhomogeneous Plane
A plane elasticity problem in a nonhomogeneous medium containing a crack has been considered. It is assumed that the medium has a constant Poisson's ratio while the Young's modulus varies exponentially both along and perpendicular to the length of the crack. The problem is solved by derivation of an integral equation and the effects of nonhomogeneity have been shown in tables and graphs.
P.K. CHAUDHURI and S. RAY, Torsion of nonhomogeneous elastic half-space with embedded penny-shaped flaws, Indian J. Pure Appl. Math., 24, 12, 801-815, 1993.
F. DELALE and F. ERDOGAN, The crack problem for a nonhomogeneous plane, J. Appl. Mech., 50, 609-614, 1983.
R.S. DHALIWAL and B.M. SINGH, On the theory of elasticity of a nonhomogeneous medium, J. Elasticity, 8, 2, 211-219, 1978.
F. ERDOGAN, The crack problem for bonded nonhomogeneous materials under antiplane shear loading, ASME J. Appl. Mech., 52, 823-828, 1985.
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