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This monograph book is devoted to the theory of coupled electro-magneto-thermo-elastic fields excited in different bodies by various sources, both static and dynamic. It presents the classical piezoelectric and piezomagnetic effects, the Mindlin s electroelastic coupling due to a polarization gradient, and different combinations of these effects with thermoelasticity. It introduces the basic concepts and equations for the theories of electro- and magneto-mechanical couplings due to piezoeffects and polarization gradient and extends the existing dislocation theory for various cases and geometries.