A rigorous analytical method for electro-magneto-elastic composites containing doubly periodic coated fibers under antiplane shear

Article type: Research Article

Authors: Xu, Y.L.^{a; *} | Xiao, J.H.^a | Shen, Y.Z.^b

Affiliations: [a] Department of Engineering Mechanics, Yanshan University, Qinhuangdao 066004, China | [b] College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China

Correspondence: [*] Corresponding author. E-mail: [email protected]

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.

Keywords: Electro-magneto-elastic fiber composites, double period, coating, effective modulus, stress concentration

DOI: 10.3233/JAE-2010-1066

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 32, no. 1, pp. 47-62, 2010