Abstract
Based on the generalized variational principle of magneto-thermo-elasticity of a ferromagnetic thin shell established (see, Analyses on nonlinear coupling of magneto-thermo-elasticity of ferromagnetic thin shell—I), the present paper developed a finite element modeling for the mechanical-magneto-thermal multi-field coupling of a ferromagnetic thin shell. The numerical modeling composes of finite element equations for three sub-systems of magnetic, thermal and deformation fields, as well as iterative methods for nonlinearities of the geometrical large-deflection and the multi-field coupling of the ferromagnetic shell. As examples, the numerical simulations on magneto-elastic behaviors of a ferromagnetic cylindrical shell in an applied magnetic field, and magneto-thermo-elastic behaviors of the shell in applied magnetic and thermal fields are carried out. The results are in good agreement with the experimental ones.
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Project supported by he National Natural Science Foundation of China (No.10872081) and the Fok Ying-Tong Education Foundation for Young Teachers in the Higher Education Institutions of China (No.111005).
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Wang, X., Zheng, X. Analyses on nonlinear coupling of magneto-thermo-elasticity of ferromagnetic thin shell—II: Finite element modeling and application. Acta Mech. Solida Sin. 22, 197–205 (2009). https://doi.org/10.1016/S0894-9166(09)60266-4
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DOI: https://doi.org/10.1016/S0894-9166(09)60266-4