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《力学学报(英文版)》 2005-04
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Study on generalized magneto-thermoelastic problems by FEM in time domain

Xiaogeng Tian Yapeng Shun MSSV.School of Civil Engineering & Mechanics.Xi'an Jiaotong University.Xi'an 710049.China Yunming Chen  
This paper presents an investigation of tempera- ture,displacement,stress,and induced magnetic field in a half space perfectly-conductive plate.Finite element equations regarding generalized magneto-thermoelasticity problems with two relaxation times(i.e.,the G-L theory)are derived using the principle of virtual work.For avoiding numerical complication involved in inverse Laplace and Fourier trans- formation and low precision thereof,the equations are solved directly in time-domain.As a numerical example,the derived equation is used to investigate the generalized magncio-ther- moelastic behavior of a semi-infinite plate under magnetic field and subjecting to a thermal shock loading.The results demonstrate that FEM can faithfully predict the deforma- tion of the plate and the induced magnetic field,and most importantly can reveal the sophisticated second sound effect of heat conduction in two-dimensional generalized thermo- elastic solids,which is usually difficult to model by routine transformation methods.A peak can be observed in the distri- bution of stress and induced magnetic field at the heat wave front and the magnitude of the peak decreases with time, which can not be obtained by transformation methods.The new method can also be used to study generalized piezo-ther- moelastic problems.
【Fund】: The project supported by the National Natural Science Foundation of China(10132010 and 10472089)
【CateGory Index】: O177.91
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