Effective Mechanical Properties of Composites at Finite Deformations

[+] Author and Article Information
N. Fares

Civil Engineering Department, Polytechnic University, Brooklyn, NY 11201

J. Appl. Mech 60(1), 8-14 (Mar 01, 1993) (7 pages) doi:10.1115/1.2900784 History: Received May 14, 1991; Revised October 15, 1991; Online March 31, 2008


A new representation theorem for the deformation gradient rate in the presence of cracks and kinematic constraints is presented. This representation theorem uses an extension of the concept of transformation strains to finite deformations. Based on the representation theorem the overall concentration factor was decomposed into contributions from the opening and sliding of cracks and from material nonhomogeneities. Also, inelastic deformations at the microscale were related to those at the macroscale through elastic concentration factors, where it was found that some of the elastic deformation at the microscale may contribute to the macroscale inelastic deformations.

Copyright © 1993 by The American Society of Mechanical Engineers
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