Abstract
In this paper the crack problem for two bonded inhomogeneous half-planes is considered. It is assumed that the different materials have the same Poisson ratio ν, but generally speaking, both Young's moduli vary exponentially with the coordinate x in different form. Using the single crack solution of the inhomogeneous plane problem and Fourier transform technique, the problem is reduced to a Cauchy-type singular integral equation. Several numerical examples to calculate the stress intensity factors are carried out.
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Delate, F. and F. Erdogan, The crack problem for a non-homogeneous plane, Lehigh University, Bethlehem, Pa., June (1982).
Erdogan, F., Mixed boundary value problem,Mechanics Today, S. Nemat-Nasser, Ed.,4 (1978).
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Dedicated to the Tenth Anniversary and One Hundred Numbers of AMM(II).
The Project supported by National Natural Science Foundation of China
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Ren-ji, T. Crack problem for an inhomogeneous plane bonded by two different inhomogeneous half-planes. Appl Math Mech 12, 193–199 (1991). https://doi.org/10.1007/BF02016538
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DOI: https://doi.org/10.1007/BF02016538