期刊
MECHANICS RESEARCH COMMUNICATIONS
卷 54, 期 -, 页码 63-71出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2013.09.008
关键词
Second-order homogenization; Higher-order elasticity; Effective nonlocal continuum; Characteristic length-scale; Cracked materials; Dilute suspension
类别
资金
- Modelling and optimal design of ceramic structures with defects and imperfect interfaces [PIAP-GA-2011-286110-INTERCER2]
The homogenization results obtained by Bacca et al. (2013a), to identify the effective second-gradient elastic materials from heterogeneous Cauchy elastic solids, are extended here to the case of phases having non-isotropic tensors of inertia. It is shown that the nonlocal constitutive tensor for the homogenized material depends on both the inertia properties of the RVE and the difference between the effective and the matrix local elastic tensors. Results show that: (i) orthotropic nonlocal effects follow from homogenization of a dilute distribution of aligned elliptical holes and, in the limit case, of cracks; (ii) even under the dilute assumption and isotropic local effective behaviour, homogenization may lead to effective nonlocal orthotropic properties. (C) 2013 Elsevier Ltd. All rights reserved.
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