期刊
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
卷 97, 期 -, 页码 60-68出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2015.08.012
关键词
Concave pore; Supersphere; Effective properties; Homogenization; Cross-property connections
资金
- FP7 Project TAMER [IRSES-GA-2013-610547]
- New Mexico Space Grant Consortium [NNX13AB19A]
- NSF [DMR-1229558]
We calculate effective properties of a porous material with non-ellipsoidal concave pores. The pore shape is described by equation of a supersphere x(2p) + y(2p) + Z(2p) = 1 that is convex when p > 0.5 and concave whenp < 0.5. Compliance and resistivity contribution tensors for a superspherical pore are calculated using finite element method and approximated by analytical expressions for p < 1. These tensors are used to evaluate effective elastic and conductive properties of a material with superspherical pores via non-interaction approximation, Mod-Tanaka scheme and Maxwell scheme. We show that the geometrical parameters entering expressions for the elastic moduli and conductivity are the same and establish cross-property connection for such materials. These connections coincide with ones for a material with spherical pores. (C) 2015 Elsevier Ltd. All rights reserved.
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