Constitutive Equations of Power-Law Composites and Failure of Materials Having Multiple Cracks

[+] Author and Article Information
S. C. Lin, Y. Hirose, T. Mura

Department of Civil Engineering, Technological Institute, Northwestern University, Evanston, IL 60208

J. Eng. Mater. Technol 116(3), 359-366 (Jul 01, 1994) (8 pages) doi:10.1115/1.2904299 History: Received August 05, 1993; Revised January 17, 1994; Online April 29, 2008


Based upon the Mori-Tanaka method, the constitutive equations of power-law materials and the failure criteria of multiple cracks materials are investigated. The piecewise linear incremental approach is also employed to analyze the effective stress and strain of the power-law materials. Results are presented for the case of pure shear where the matrix is a power-law material with rigid or void inhomogeneities. For the multiple cracked materials, the Griffith fracture criterion is applied to determine the critical volume fraction which causes the catastrophic failure of a material. The failure criteria of penny shaped, flat ellipsoidal, and slit-like cracked materials are examined and it is found that the volume fraction of cracks and critical applied stress are in linear relation.

Copyright © 1994 by The American Society of Mechanical Engineers
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