Affiliations: [a] Department of Engineering Mechanics, Yanshan
University, Qinhuangdao 066004, China | [b] College of Mechanical Engineering, Yanshan University,
Qinhuangdao 066004, China
Abstract: The electro-magneto-elastic composites containing a doubly periodic
parallelogrammic array of coated fibers are dealt with under antiplane shear
coupled with inplane electro-magnetic loads, a rigorous analytical method is
developed by using the generalized eigenstrain (an aggregation of eigenstrain,
eigen-electric-field and eigen-magnetic-field) concept integrated with the
doubly quasi-periodic Riemann boundary value problem theory. The expressions of
electro-magneto-elastic fields in each phase of composites are obtained. A
comparison with the finite element analysis (FEA) results demonstrates the
accuracy of the proposed method. The effects of the coating with different
thickness and stiffness on the stress concentration factor and
electro-magneto-elastic effective moduli are discussed and a lot of interesting
electro-magneto-elastic interaction phenomena are revealed, which are useful to
estimate and optimize the performance of such elector-magneto-elastic
composites. Also, the present method can provide benchmark results for other
numerical and approximate methods.
