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RESEARCH PAPERS

A High-Order Mixture Homogenization of Bi-laminated Composites

[+] Author and Article Information
H. Murakami, A. Toledano

Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093

J. Appl. Mech 57(2), 388-397 (Jun 01, 1990) (10 pages) doi:10.1115/1.2892002 History: Received August 08, 1988; Revised June 28, 1989; Online March 31, 2008

Abstract

An asymptotic mixture theory of bi-laminated composites with periodic microstructure is presented for rate-independent inelastic responses, such as elastic-plastic deformation. Key elements are the modeling capability of simulating critical interaction between adjacent layers and the inclusion of the kinetic energy of microdisplacements. A variational procedure is adopted in order to construct a mixture model, which is deterministic, instead of phenomenological. The principle of virtual work is used for total quantities to construct mixture equations of motion, while Reissner’s mixed variational principle (1984, 1986) applied to rate boundary value problems is used to yield mixture constitutive relations. In order to assess the model accuracy in the time domain, the predicted values were compared with experimental and numerically exact data. Good agreements between the predicted and experimental or numerically exact data for plastic as well as elastic waves were observed.

Copyright © 1990 by The American Society of Mechanical Engineers
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