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Journal Articles International Journal of Engineering Science Year : 2015

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

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Fengjuan Chen
  • Function : Author
  • PersonId : 777035
  • IdRef : 199282099
Albert Giraud
Dragan Grgic
  • Function : Author
  • PersonId : 777036
  • IdRef : 059730129

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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Dates and versions

hal-01276853 , version 1 (20-02-2016)

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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, 2015, 97, pp.60-68. ⟨10.1016/j.ijengsci.2015.08.012⟩. ⟨hal-01276853⟩
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