Homogenization and effective properties of periodic thermomagnetoelectroelastic composites

Using asymptotic homogenization, we derive the local problems and the corresponding homogenized coefficients of periodic thermomagnetoelectroelastic heterogeneous media. The theory is applied to obtain analytical expressions for all effective properties of an important class of periodic multilaminated composites. Universal relations involving homogenized thermal coefficients of two-phase laminated and fibrous piezoelectric/piezomagnetic periodic composites, with transversely isotropic constituents, are obtained. Theoretical evidence is shown for the existence of pyroelectric and pyromagnetic effects even if neither phase exhibits them. Numerical calculations and comparisons with others theories are included. 1.