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Two-dimensional thermoelastic problem of an infinite magneto-microstretch homogeneous isotropic plate

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Abstract

In this work, the magneto-thermoelastic problem of an infinite microstretch homogeneous isotropic plate placed in a transverse magnetic field is studied in the context of different theories of generalized thermoelasticity. The upper surface of the infinite plate is subjected to a zonal time-dependent heat shock. The problem is investigated by applying finite element method. The solution is obtained by solving finite element governing equations of the problem in time domain directly. The results, including temperature, stresses, displacements, microrotation, microstretch, induced magnetic field, and induced electric field, are presented graphically. Comparison is made in the results predicted by different theories of generalized thermoelasticity, to show that the micropolar effect has a slight influence on the results while the microstretch effect has a great influence on the results. Finally, a parameter study provides an idea about the influence of the respective terms of the theories.

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Authors and Affiliations

  1. MOE Key Laboratory of Strength and Vibration, Xi’an Jiaotong University, 710049, Xi’an, China

    Qi-lin Xiong & Xiao-geng Tian

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  1. Qi-lin Xiong
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  2. Xiao-geng Tian
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Correspondence to Xiao-geng Tian.

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Xiong, Ql., Tian, Xg. Two-dimensional thermoelastic problem of an infinite magneto-microstretch homogeneous isotropic plate. Arch Appl Mech 82, 13–29 (2012). https://doi.org/10.1007/s00419-011-0535-y

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  • DOI: https://doi.org/10.1007/s00419-011-0535-y

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