Crack Problem for an Inhomogeneous Plane Bonded by Two Different Inhomogeneous Half-Planes

Tang Ren-ji

Volume 12 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(2): 177-183

Tang Ren-ji. Crack Problem for an Inhomogeneous Plane Bonded by Two Different Inhomogeneous Half-Planes[J]. Applied Mathematics and Mechanics, 1991, 12(2): 177-183.

Citation:

Tang Ren-ji. Crack Problem for an Inhomogeneous Plane Bonded by Two Different Inhomogeneous Half-Planes[J]. Applied Mathematics and Mechanics, 1991, 12(2): 177-183.

Citation:

Tang Ren-ji. Crack Problem for an Inhomogeneous Plane Bonded by Two Different Inhomogeneous Half-Planes[J]. Applied Mathematics and Mechanics, 1991, 12(2): 177-183.

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Crack Problem for an Inhomogeneous Plane Bonded by Two Different Inhomogeneous Half-Planes

Tang Ren-ji

Jiaotong University, Shanghai

Received Date: 1990-03-21
Publish Date: 1991-02-15

Abstract

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 v, 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.
- inhomogeneous plane,
- crack problem,
- singular integral equation

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References(2)

References

[1]	Delate,F.and F.Erdogan,The crack problem for a non-homogeneous plane,Lehigh University,Bethlehem,Pa.,June(1982).
[2]	Erdogan,F.,Mixed boundary value problem,Mechanics Today,S.Nemat-Nasser,Ed.,4(1978).

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