Finite Deformation Constitutive Relations for Elastic-Plastic Fibrous Metal Matrix Composites

[+] Author and Article Information
N. Fares

Civil Engineering Department, Polytechnic University, Brooklyn, NY 11201

G. J. Dvorak

Civil Engineering Department, Rensselaer Polytechnic Institute, Troy, NY 12180

J. Appl. Mech 60(3), 619-625 (Sep 01, 1993) (7 pages) doi:10.1115/1.2900849 History: Received August 15, 1990; Revised April 23, 1992; Online March 31, 2008


This paper presents a finite strain formulation of a plasticity theory of fibrous composite materials. An additive decomposition is adopted to describe the kinematics of large deformations; a lattice is defined by the current fiber direction. Elastic and plastic constitutive relations are developed from the proposition that distortions take place relative to the fiber direction. A numerical method is proposed for integrating the constitutive equations. Finally, an illustrative example of the formulation indicates that when axial loads along the fiber direction are comparable to the instantaneous shear stiffness, the finite deformation formulation is needed even with small strains.

Copyright © 1993 by The American Society of Mechanical Engineers
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