The Surface Crack Problem for a Plate With Functionally Graded Properties

Author:

Erdogan F.1,Wu B. H.1

Affiliation:

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

Abstract

In this study the plane elasticity problem for a nonhomogeneous layer containing a crack perpendicular to the boundaries is considered. It is assumed that the Young’s modulus of the medium varies continuously in the thickness direction. The problem is solved under three different loading conditions, namely fixed grip, membrane loading, and bending applied to the layer away from the crack region. Mode I stress intensity factors are presented for embedded as well as edge cracks for various values of dimensionless parameters representing the size and the location of the crack and the material nonhomogeneity. Some sample results are also given for the crack-opening displacement and the stress distribution.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference13 articles.

1. Bakioglu M. , and ErdoganF., 1977, “The Crack-Contact and the Free-End Problem for a Strip Under Residual Stress,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 44, pp. 41–46.

2. Batakis, A. P., and Vogan, J. W., 1985, “Rocket Thrust Chamber Thermal Barrier Coatings,” NASA CR-1750222.

3. Delale F. , and ErdoganF., 1983, “The Crack Problem for a Nonhomogeneous Plane,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 50, pp. 609–614.

4. Gupta G. D. , and ErdoganF., 1974, “The Problem of Edge Cracks in an Infinite Strip,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 41, pp. 1001–1006.

5. Hirano, T., and Yamada, T., 1988, “Multi-Paradigm Expert System Architecture Based Upon the Inverse Design Concept,” Int. Workshop on Artificial Intelligence for Industrial Applications, Hitachi, Japan.

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