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Small Scale Yielding at a Crack Normal to the Interface Between an Elastic and a Yielding Material

Published online by Cambridge University Press:  22 February 2011

Ming Y. He ,
R. M. McMeeking  and
Ning T. Zhang
Ming Y. He
Affiliation:
Materials Department & Mechanical Engineering Department, College of Engineering University of California, Santa Barbara, CA 93106
R. M. McMeeking
Affiliation:
Materials Department & Mechanical Engineering Department, College of Engineering University of California, Santa Barbara, CA 93106
Ning T. Zhang
Affiliation:
Materials Department & Mechanical Engineering Department, College of Engineering University of California, Santa Barbara, CA 93106
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Abstract

By using the elastic singular field as a prescribed loading condition, small scale yielding solutions are obtained for a crack normal to the interface between a brittle and a ductile material. Results for both a crack in the brittle material and one in the ductile material are obtained by finite element analysis. The crack tip fields obtained by the finite element analysis are compared with the asymptotic solutions. It is found that near the tip the stress fields approach the asymptotic solutions. If the crack is in the brittle material, the high triaxial stresses are developed near the interface ahead of the crack tip.

Information

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 239: Symposium D – Thin Films: Stresses and Mechanical Properties III , 1991 , 585
Copyright
Copyright © Materials Research Society 1992

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References

REFERENCES

1. He, Ming Y., McMeeking, R. M. and Zhang, Ning T., “Asymptotic Fields and Small Scale Yielding at a Crack Perpendicular to the Interface between a Brittle and a Ductile Material,” to be published.Google Scholar
2. Rice, J. R., “A Path independent integral and the approximate analysis of strain concentrations by notches and cracks,” J. Appl. Mech. 35, 379–386 (1968).Google Scholar
3. Zak, A. R. and Williams, M. L., “Crack Point Singularities at a Bi-material nterface,” J. Appl. Mech. 30, 142–143 (1963).Google Scholar
4. Dundurs, J., “Edge-bonded dissimilar Orthogonal Elastic Wedges,” J. Appl. Mech. 36, 650–652 (1969).CrossRefGoogle Scholar