Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 38, Issue 10-13, Pages 1721-1735Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0020-7683(00)00132-3
Keywords
elastic composite; couple-stress model
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The study reported in this paper concerns the determination of couple-stress moduli and characteristic lengths of heterogeneous materials. The study is set in the context of a planar (two-dimensional), two-phase composite with linear non-couple-stress (classical), elastic constituents, with a single microstructural length scale (inclusion spacing) in an equilateral triangular array. We use an approach which allows a replacement of this composite by an approximating couple-stress continuum. We determine the effective material parameters from the response of a unit cell under either displacement, displacement-periodic, or traction boundary conditions. We carry out computations of all the moduli by varying the stiffness ratio of both phases, so as to cover a range of very different materials from porous solids through composites with rigid inclusions. It is found that the three boundary conditions result in hierarchies of couple-stress moduli. In addition, we observe from our numerical computations that these three boundary conditions also result in a hierarchy of characteristic lengths. (C) 2001 Elsevier Science Ltd. All rights reserved.
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