A Three-Dimensional Unit Cell Model With Application Toward Particulate Composites

[+] Author and Article Information
H. A. Wienecke, J. R. Brockenbrough, A. D. Romanko

Alcoa Laboratories, Alcoa Center, PA 15069

J. Appl. Mech 62(1), 136-140 (Mar 01, 1995) (5 pages) doi:10.1115/1.2895894 History: Received March 10, 1993; Revised January 11, 1994; Online October 30, 2007


A formulation of a fully three-dimensional unit cell model is presented for uniform general deformation at a point in a composite material. The unit cell model is constructed as a finite element discretization of the unit cube. General displacement periodicity boundary conditions are prescribed such that the cell may be considered as a representative volume element of material. As a particular application of the model, the problem of determining the least anisotropic periodic model of a particulate composite is considered, and comparisons are made with bounds for elastic two-phase composites possessing cubic symmetry.

Copyright © 1995 by The American Society of Mechanical Engineers
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