Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 50, Issue 24, Pages 4020-4029Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2013.08.016
Keywords
Dilute distribution of spherical and circular inclusions; n-Polygonal holes; Higher-order elasticity; Effective non-local continuum; Composite materials
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Funding
- Italian Prin [2009XWLFKW-002]
- [PIAP-GA-2011-286110-INTERCER2]
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Starting from a Cauchy elastic composite with a dilute suspension of randomly distributed inclusions and characterized at first-order by a certain discrepancy tensor (see part I of the present article), it is shown that the equivalent second-gradient Mindlin elastic solid: (i) is positive definite only when the discrepancy tensor is negative defined; (ii) the non-local material symmetries are the same of the discrepancy tensor, and (iii) the non-local effective behaviour is affected by the shape of the RVE, which does not influence the first-order homogenized response. Furthermore, explicit derivations of non-local parameters from heterogeneous Cauchy elastic composites are obtained in the particular cases of: (a) circular cylindrical and spherical isotropic inclusions embedded in an isotropic matrix, (b) n-polygonal cylindrical voids in an isotropic matrix, and (c) circular cylindrical voids in an orthotropic matrix. (C) 2013 Elsevier Ltd. All rights reserved.
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