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Structural Engineering and Mechanics Volume 40, Number 1, October10 2011 , pages 49-64 DOI: https://doi.org/10.12989/sem.2011.40.1.049 |
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Investigation on electromagnetothermoelastic interaction of functionally graded piezoelectric hollow spheres |
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Hong-Liang Dai and Yan-Ni Rao
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| Abstract | ||
| An analytical method is presented to investigate electromagnetothermoelastic behaviors of a hollow sphere composed of functionally graded piezoelectric material (FGPM), placed in a uniform magnetic field, subjected to electric, thermal and mechanical loads. For the case that material properties obey an identical power law in the radial direction of the FGPM hollow sphere, exact solutions for electric displacement, stresses, electric potential and perturbation of magnetic field vector in the FGPM hollow sphere are determined by using the infinitesimal theory of electromagnetothermoelasticity. Some useful discussion and numerical examples are presented to show the significant influence of material inhomogeneity. The aim of this research is to understand the effect of composition on electromagnetothermoelastic stresses and to design optimum FGPM hollow spheres. | ||
| Key Words | ||
| functionally graded piezoelectric material (FGPM); hollow sphere; analytical method; electromagnetothermoelastic; perturbation of magnetic field vector | ||
| Address | ||
| Hong-Liang Dai and Yan-Ni Rao: State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China; Department of Engineering Mechanics, College of Mechanical & Vehicle Engineering, Hunan University, Changsha, 410082, China | ||