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Materials 2011, 4(12), 2136-2150; doi:10.3390/ma4122136

Transient Thermal Stress Problem of a Functionally Graded Magneto-Electro-Thermoelastic Hollow Sphere

Department of Mechanical Engineering, Graduate School of Engineering, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan
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Received: 2 November 2011 / Revised: 4 December 2011 / Accepted: 7 December 2011 / Published: 12 December 2011
(This article belongs to the Special Issue Advances in Functionally Graded Materials)
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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.
Keywords: thermal stress; magneto-electro-thermoelastic material; functionally graded material; hollow sphere; transient state thermal stress; magneto-electro-thermoelastic material; functionally graded material; hollow sphere; transient state
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Ootao, Y.; Ishihara, M. Transient Thermal Stress Problem of a Functionally Graded Magneto-Electro-Thermoelastic Hollow Sphere. Materials 2011, 4, 2136-2150.

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