Explicit effective constants for an inhomogeneous porothermoelastic medium

An arbitrary anisotropicmicro- inhomogeneous (composite) poroelastic medium is considered, containing a random set of ellipsoidal inhomogeneities with different poroelastic characteristics. The properties of these constituents are described by the linear porothermoelastic theory of Biot. One of the self-consistent schemes named effective field method is used to develop explicit expressions for the effective porothermoelastic constants ( tensor of the frame elastic compliances S-ijkl*, tensor of the generalized Skempton's coefficients B-ij*, tensor of thermal expansion coefficients beta(ij)*, Biot's constants b*,gamma* and the heat capacity at constant stress c(p)*) for the static porothermoelastic theory. It is shown that for two components composite porous material these expressions are interconnected and can be expressed only via the components of tensor S-ijkl*. Some special cases are considered for the isotropic main material (matrix).