Effects Of The Coating On The Properties Of Electro-Magneto-Elastic Composites

Interfaces of composite materials, which transmit electromagnetic and mechanical load from the matrix to the reinforcemrnt phase of composites, act as a linking bridge of the reinforcement phase and the matrix, the change of interface phase properties(such as thickness, properiteis, the order of the coating) have a significant impact on local electro-magneto-elastic field and macroscopic effective properities. Therefore, the study of the interface layer has a very important significance. This paper dedicate to the resrearch on the variation of local field and macroscopic effective properties with material microstructure parameters(especially the micro-structural parameters of interface) of the electro-magneto-elastic composites with doubly periodic coated fibers under antiplane shear coupled with inplane electro-magnetic load.By use of the concept of Eshelby's equivalent inclusion, a problem of doubly-periodic generalized eigenstress for electro-magneto-elastic materials, which is equivalent to the heterogeneous materials problem(doubly periodic electro-magneto-elastic fiber composites), is constructed by the introduction of non-uniform generalized eigenstress in the doubly-periodic cylindrical regions of a uniform solid whose properties are the same as the matrix properties of originally heterogeneous materials, equivalent equations are established between non-homogeneous electro-magneto-elastic composite materials and homogeneous electro-magneto-elastic composite materials with generalized eigenstress .By using Laurent series expansion and the results of doubly quasi-periodic Riemann boundary value problem, combined with continuity conditions of generalized stress and compatibility conditions of generalized displacement, the electro-magneto-elastic field is obtained in series form. The solutions can be used to analyze the electro-magneto-elastic field within unit cell, and predict the effective electro-magneto-elastic modulus of the electro-magneto-elastic composite materials.Programming by using symbolic computation software Mathematica, interfacial stress, the electro-magneto-elastic effective modulus and the generalized stress field in fiber are calculated. Comparisons with existing results denonstrate the accuracy of the present method. Numerical analysis show that interface microstructure of electro-magneto-elastic composite material have a significant impact on local electro-magneto-elastic field and macroscopic effective properties. Conclusions obtained from this paper are useful complements to the study of the relevance between macroscopic properties and microstructure of such materials.