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Transient magneto-thermo-elasto-diffusive responses of rotating porous media without energy dissipation under thermal shock

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Abstract

In this work, transient magneto-thermoelastic responses of a rotating half-space with diffusion and voids whose surface is subjected to a zonal time-dependent thermal shock is investigated in the context of the second type Green–Naghdi thermoelastic theory (without energy dissipation). The solution is obtained by solving the corresponding finite element governing equations of the problem. The transient responses, i.e. temperature, stresses, displacements, mass concentration and chemical potential, the change in volume fraction field, induced magnetic field as well as induced electric field are graphically presented. Comparisons are made between the results obtained in the case of absence and presence of diffusion (rotation) to show the influences of diffusion (rotation) on the magneto-thermoelastic responses.

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Acknowledgments

This work is supported by the Fundamental Research Funds for the Central Universities (2015QN140) and National Science Foundation of China (11172230, 11372240, 11502085).

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Authors and Affiliations

  1. Department of Mechanics, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan, 430074, China

    Qi-lin Xiong

  2. Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment, Luoyu Road 1037, Wuhan, 430074, China

    Qi-lin Xiong

  3. State Key Laboratory for Mechanical Structure Strength and Vibration, Xi’an Jiaotong University, Xi’an, 710049, China

    Xiao-geng Tian

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  1. Qi-lin Xiong
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Correspondence to Qi-lin Xiong.

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Xiong, Ql., Tian, Xg. Transient magneto-thermo-elasto-diffusive responses of rotating porous media without energy dissipation under thermal shock. Meccanica 51, 2435–2447 (2016). https://doi.org/10.1007/s11012-016-0377-3

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  • DOI: https://doi.org/10.1007/s11012-016-0377-3

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