Abstract
This article is concerned with the theoretical analysis of the functionally graded magneto-electro-thermoelastic hollow sphere due to uniform surface heating. We analyze the transient thermoelastic problem for a functionally graded hollow sphere constructed of the spherical isotropic and linear magneto-electro-thermoelastic materials using a laminated composite mode as one of theoretical approximation in the spherically symmetric state. As an illustration, we carry out numerical calculations for a functionally graded hollow sphere constructed of piezoelectric and magnetostrictive materials and examine the behaviors in the transient state. The effects of the nonhomogeneity of material on the stresses, electric potential, and magnetic potential are investigated.
Highlights
Graded materials (FGMs) are new nonhomogeneous material systems that two or more different material ingredients changes continuously and gradually
We analyze the transient thermal stress problem for a functionally graded hollow sphere constructed of the spherical isotropic and linear magneto-electro-thermoelastic materials using a laminated composite model as one of theoretical approximation
We carried out numerical calculations for a functionally graded hollow sphere composed of piezoelectric and magnetostrictive materials, and examined the effects of the nonhomogeneity of material on the stresses, electric potential, and magnetic potential
Summary
Graded materials (FGMs) are new nonhomogeneous material systems that two or more different material ingredients changes continuously and gradually. These materials are known as multiferroic composites [2] These composites exhibit a coupling among magnetic, electric, and elastic fields. Various problems in magneto-electro-elastic media that exhibit anisotropic and linear coupling among the magnetic, electric, and elastic fields were analyzed. Examples of the thermal stress problems of electro-magneto-elastic media are as follows, Ganesan et al [15] analyzed the response of a layered, multiphase magnetoelectroelastic cylinder subjected to an axisymmetric temperature distribution using finite element procedures. We analyze the transient thermal stress problem for a functionally graded hollow sphere constructed of the spherical isotropic and linear magneto-electro-thermoelastic materials using a laminated composite model as one of theoretical approximation. We carried out numerical calculations for a functionally graded hollow sphere composed of piezoelectric and magnetostrictive materials, and examined the effects of the nonhomogeneity of material on the stresses, electric potential, and magnetic potential
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