The Crack Problem in Bonded Nonhomogeneous Materials

[+] Author and Article Information
F. Erdogan, P. F. Joseph

Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015

A. C. Kaya

Department of Mechanical Engineering, Middle East Technical University, Ankara, Turkey

J. Appl. Mech 58(2), 410-418 (Jun 01, 1991) (9 pages) doi:10.1115/1.2897201 History: Received November 22, 1988; Revised February 12, 1990; Online March 31, 2008


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 μ0 and μ0 exp(βx), 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 −α , 0<α<1, in this problem the stresses have a standard square root singularity regardless of the location of the crack tip. The nonhomogeneity constant β has, however, considerable influence on the stress intensity factors.

Copyright © 1991 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In