Modeling of the Plastic Behavior of Inhomogeneous Media

[+] Author and Article Information
M. Berveiller

L.P.M.M., Université de METZ, Metz, France

A. Zaoui

L.P.M.T.M.-C.N.R.S., Université de Paris-Nord, Villetaneuse, France

J. Eng. Mater. Technol 106(4), 295-298 (Oct 01, 1984) (4 pages) doi:10.1115/1.3225719 History: Received June 28, 1984; Online September 15, 2009


The general method which work for the case of linear properties are taken as a pattern for the derivation of the local total strain rate field of an inhomogeneous material (such as a polycrystal, a composite, or multiphase material) submitted to a uniform macroscopic elastic-plastic strain rate; the localization procedure leads to an integral equation, the solution of which is shown to yield the overall behavior. This method allows to locate within a common framework all the classical approaches, namely Taylor’s, Lin’s ones, the self-consistent scheme[[ellipsis]]and to suggest possible extensions. Some significant results are reported, concerning strain-hardening, yield stress, and texture devolopment of FCC polycrystals, according to simplified, one-site self-consistent model.

Copyright © 1984 by ASME
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