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 (x12+x22)p+x32p=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.
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