A multi-field coupled mechanical-electric-magnetic-chemical-thermal (MEMCT) theory for material systems

Problems pertaining to a magnetoelectroelastic (MEE) body sensitive to thermal-chemical diffusions are analytically solved based on the proposed MEMCT theory. Transversely isotropic materials, which are widely encountered in MEE designs are modeled. With the assistance of the operator theory, a set of general solutions for elastic displacements, stresses, electric/magnetic potentials, electric displacements, magnetic inductions, temperature, and chemical potentials of involved species, subjected to MEMCT coupling, is derived. The presented MEMCT theory and the general solutions provide a basis for computing and simulating interfaces of complex material systems in MEMCT multifield interactions.