Evaluation of the effective elastic and conductive properties of a material containing concave pores

Abstract : 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.
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https://hal.univ-lorraine.fr/hal-01276853
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Submitted on : Saturday, February 20, 2016 - 5:44:04 PM
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Fengjuan Chen, Igor Sevostianov, Albert Giraud, Dragan Grgic. Evaluation of the effective elastic and conductive properties of a material containing concave pores. International Journal of Engineering Science, Elsevier, 2015, 97, pp.60-68. ⟨10.1016/j.ijengsci.2015.08.012⟩. ⟨hal-01276853⟩

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