Fully-coupled electro-magneto-elastic behavior of unidirectional multiphased composites via finite-volume homogenization

The effective and localized electro-magneto-elastic behavior of periodic unidirectional composites is investigated in this work. Instead adopting the classical micromechanics models or variational principle-based finite-element (FE) techniques, finite-volume direct averaging (FVDAM) extended to fulfill task by incorporating fully-coupled constitutive relations. Consistent with mathematical homogenization theories, mechanical displacements electric/magnetic potentials are partitioned using two-scale expansion involving macroscopic fluctuating contributions. generalized local stiffness matrices constructed explicitly relating surface-averaged tractions, electric displacements, magnetic inductions potentials, followed which continuity boundary conditions applied. homogenized coefficients stress, field distributions validated extensively against exact Eshelby solution an in-house FE program, as well experimental measurements, where perfect agreements observed for all cases. efficiency convergence proposed multiphysics FVDAM (MFVDAM) tested comparing execution time fields a function mesh discretization, (MFEM) results references. Besides, MFVDAM encapsulated into particle swarm optimization algorithm deduce optimal fiber volume fraction at maximum magnetoelectric coupling effect may occur composite system piezomagnetic ceramics reinforced piezoelectric fibers.