THE CRACK PROBLEM IN BONDED NONHOMOGENEOUS MATERIALS

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1991-06-01

Author

ERDOGAN, F
KAYA, AC
JOSEPH, PF

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In this paper the plane elasticity problem for two bonded half-planes containing a crack perpendicular to the interface is considered. The primary objective of the paper is to study the effect of very steep variations in the material properties near the diffusion plane on the singular behavior of the stresses and stress intensity factors. The two materials are, thus, assumed to have the shear moduli mu(0) and mu(0)exp(beta-x), x = 0 being the diffusion plane. Of particular interest is the examination of the nature of stress singularity near a crack tip terminating at the interface where the shear modulus has a discontinuous derivative. The results show that, unlike the crack problem in piecewise homogeneous materials for which the singularity is of the form r-alpha, 0 < alpha < 1, in this problem the stresses have a standard square root singularity regardless of the location of the crack tip. The nonhomogeneity constant beta has, however, considerable influence on the stress intensity factors.

Subject Keywords

Mechanical Engineering, Mechanics of Materials, Condensed Matter Physics

URI

https://hdl.handle.net/11511/66619

Journal

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

DOI

https://doi.org/10.1115/1.2897201

Collections

Department of Mechanical Engineering, Article

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Citation Formats

F. ERDOGAN, A. KAYA, and P. JOSEPH, “THE CRACK PROBLEM IN BONDED NONHOMOGENEOUS MATERIALS,” JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, pp. 410–418, 1991, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66619.