Evaluation of the effective elastic and conductive properties of a material containing concave pores. (December 2015)

• Record Type: Journal Article
• Authors: Chen, Fengjuan; Sevostianov, Igor; Giraud, Albert; Grgic, Dragan
• Is Part Of: International journal of engineering science. Volume 97(2015:Dec.)
• Page Start: 60
• Page End: 68
• Publication Date: 2015-12
• Subjects: Concave pore -- Supersphere -- Effective properties -- Homogenization -- Cross-property connections; Engineering -- Periodicals; Ingénierie -- Périodiques; Engineering; Periodicals; 620
• DOI: 10.1016/j.ijengsci.2015.08.012
• Languages: English
• ISSNs: 0020-7225

Abstract

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 2 p + y 2 p + z 2 p = 1 that is convex when p > 0.5 and concave when p < 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, Mori–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.