RESTUDY OF COUPLED FIELD THEORIES FOR MICROPOLAR CONTINUA (Ⅱ)-THERMOPIEZOELECTRICITY AND MAGNETOTHERMOELASTICITY |
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摘 要: |
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收稿时间: | 29 December 2000 |
Restudy of coupled field theories for micropolar continua (II) — Thermopiezoelectricity and magnetothermoelasticity |
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Authors: | Dai Tian-min Professor Doctor |
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Institution: | (1) Department of Mathematics & Center for the Application of Mathematics, Liaoning University, 110036 Shenyang, P R China |
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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.
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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Keywords: | nonlocal micropolar thermopiezoelectricity magnetothermoelasticity principle of energy conservation Hamilton principle |
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