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Planar Cosserat Elasticity of Materials With Holes and Intrusions

[+] Author and Article Information
I. Jasiuk

Department of Materials Science and Mechanics, Michigan State University, E Lansing MI 48824-1226 USA

M. Ostoja-Starzewski

Institute of Paper Science and Technology, 500 10th Street NW, Atlanta GA 30318-5794 USA

Appl. Mech. Rev 48(11S), S11-S18 (Nov 01, 1995) doi:10.1115/1.3005060 History: Online April 29, 2009

Abstract

Recently, Cherkaev, Lurie, and Milton (1992) established an invariance of stress field in planar linear anisotropic elasticity under a specific shift in bulk and shear moduli; this is now known as the CLM theorem. Motivated by the importance of micropolar models in mechanics of media with micropolar structures, Ostaja-Starzewski and Jasiuk (1995) generalized the CLM theorem to planar micropolar elastic materials and considered inhomogeneous simply-connected materials. The present study addresses inhomogeneous, multiply-connected materials (with holes), which require global compatibility conditions involving Cesàro integrals, as well as multi-phase simply-connected materials, where the interface conditions need to be considered. Just as in the previous paper, both of these cases display a reduction in the parameter space.

Copyright © 1995 by The American Society of Mechanical Engineers
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