The relations between the shear modulus, the bulk modulus and Youngʹs modulus for porous isotropic ceramic materials

A relation between the shear modulus and Youngʹs modulus of isotropic porous ceramics has been derived based on the Mori–Tanaka mean-field approach. The applicability of the relation has been evaluated using the experimental values available in the literature for the shear modulus, the bulk modulus and Youngʹs modulus of porous ceramics prepared using various processing techniques and powder sizes. It is also shown that the ratio of the shear to Youngʹs modulus of porous ceramics can be approximated by a constant value of 0.391.