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Restudy of coupled field theories for micropolar continua (II) — Thermopiezoelectricity and magnetothermoelasticity

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Abstract

The theories of thermopiezoelectricity and magnetoelasticity for micropolar continua have been systematically developed by W. Nowacki. In this paper, the theories are restudied. The reason why they were restricted to linear cases is analyzed. The more general conservation principle of energy, energy balance equation and Hamilton principle of thermopiezoelectricity and magnetoelasticity for micropolar continua are established. The corresponding complete equations of motion and boundary conditions as well as balance equations of energy rate for local and nonlocal micropolar thermopiezoelectricity and magnetothermoelasticity are naturally derived. By means of two new functionals and total variation the boundary conditions of displacement, microrotation, electric potential and temperature are also given.

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References

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Authors and Affiliations

  1. Department of Mathematics & Center for the Application of Mathematics, Liaoning University, 110036, Shenyang, P R China

    Dai Tian-min Professor, Doctor

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  1. Dai Tian-min Professor, Doctor
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Contributed by DAI Tian-min

Foundation item: the National Natural Science Foundation of China (10072024); the International Cooperation Project of the NSFC (10011130235) and the DFG (51520001); the Research Foundation of the Liaoning Education Committee (990111001)

Biography: DAI Tian-min (1931-)

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Tian-min, D. Restudy of coupled field theories for micropolar continua (II) — Thermopiezoelectricity and magnetothermoelasticity. Appl Math Mech 23, 249–258 (2002). https://doi.org/10.1007/BF02438332

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  • DOI: https://doi.org/10.1007/BF02438332

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