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Structural Engineering and Mechanics Volume 24, Number 6, December20 2006 , pages 699-707 DOI: https://doi.org/10.12989/sem.2006.24.6.699 |
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Magnetothermoelastic stress in orthotropic hollow cylinders due to radially symmetric thermal and mechanical loads |
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H. L. Dai and Y. M. Fu
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| Abstract | ||
| In the paper, a direct method of solution of the Navier equation is presented. An orthotropic thick hollow cylinder under a one-dimensional steady-state temperature distribution and a uniform magnetic field with general types of thermal and mechanical boundary conditions is considered. The Navier equation in terms of displacement is derived and solved analytically by the direct method, and magnetothermoelastic responses and perturbation of the magnetic field vector in the orthotropic thick hollow cylinder is described. The present method is suitable for orthotropic thick hollow cylinders placed in an axial magnetic field with arbitrary thermal and mechanical boundary conditions. Finally, numerical examples are carried out and discussed. | ||
| Key Words | ||
| magnetothermoelastic; orthotropic hollow cylinder; perturbation of magnetic field vector. | ||
| Address | ||
| Department of Engineering Mechanics, Hunan University, Changsha, 410082, Hunan Province, P. R. China | ||