Analysis of the Driving Forces for Multiple Cracks in an Infinite Nonhomogeneous Plate, Part II: Numerical Solutions

Author:

Shbeeb N. I.1,Binienda W. K.1,Kreider K. L.2

Affiliation:

1. Department of Civil Engineering, The University of Akron, Akron, OH 44325-3905

2. Department of Mathematics and Computer Science, The University of Akron, Akron, OH 44325-4002

Abstract

In Part 1 of this work, an analytical model was developed for the fundamental solution for a crack embedded in an infinite nonhomogeneous plate. This fundamental solution is used here to generate the stress intensity factors and strain energy release rates for fully interactive multiple crack problems. Also, a numerical technique used in solving the singular integral equation in Part I is presented, along with a parametric study. The parametric study addresses the influence of crack distance, relative angular orientation, and the coefficient of nonhomogeneity on the crack driving forces. The strain energy release rate is recommended for use as a crack propagation criterion because it depends on the local material properties as well as all the remaining parameters contained in the stress intensity factors.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference6 articles.

1. Driving Force Analysis in an Infinite Anisotropic Plate with Multiple Crack Interactions;Binienda;International Journal of Fracture,1995

2. On the Stress Distribution in Plates with Collinear Cuts Under Arbitrary Loads;Erdogan,1962

3. Elastic Fields of Interacting Inhomogeneities;Horii;Int. J. Solids Structure,1985

4. The Mixed Mode Crack Problem in a Non-Homogeneous Elastic Medium;Konda;Engineering Fracture Mechanics,1994

5. Shbeeb NI 1998 General Crack Problems in Functionally Graded Materials Ph.D. dissertation The University of Akron Akron, OH

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