Compliance and resistivity contribution tensors of axisymmetric concave pores. (April 2016)

• Record Type: Journal Article
• Authors: Sevostianov, Igor; Chen, Fengjuan; Giraud, Albert; Grgic, Dragan
• Is Part Of: International journal of engineering science. Volume 101(2016:Apr.)
• Page Start: 14
• Page End: 28
• Publication Date: 2016-04
• Subjects: Axisymmetric shape -- Superspheroid -- Superegg -- Compliance contribution tensor -- Resistivity contribution tensor -- Concave pore; Engineering -- Periodicals; Ingénierie -- Périodiques; Engineering; Periodicals; 620
• DOI: 10.1016/j.ijengsci.2015.12.005
• Languages: English
• ISSNs: 0020-7225

Abstract

Abstract: We focus on the effect of non-ellipsoidal axisymmetric concave pore on overall properties of porous materials. This effect is described by compliance and resistivity contribution tensors. The pore shape is described by equation ( x 1 2 + x 2 2 ) p + x 3 2 p = 1 that is convex when p > 0.5 and concave when p < 0.5. The limiting case p → 0corresponds to a combination of a circular crack of unit radius and a needle of unit half-length normal to the crack, p → ∞ describes a circular cylinder and p = 1 - a unit sphere. Compliance and resistivity contribution tensors for a superspheroidal pore are calculated using finite element method and approximated by analytical expressions for p < 1. These results allow evaluation of the effective elastic and conductive properties of a material with concave pores using various homogenization methods.