Restudy of Coupled Field Theories for Micropolar Continua (Ⅱ)──Thermopiezoelectricity and Magnetothermoelasticity

DAI Tian-min

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DAI Tian-min. Restudy of Coupled Field Theories for Micropolar Continua (Ⅱ)──Thermopiezoelectricity and Magnetothermoelasticity[J]. Applied Mathematics and Mechanics, 2002, 23(3): 229-238.

Citation:

DAI Tian-min. Restudy of Coupled Field Theories for Micropolar Continua (Ⅱ)──Thermopiezoelectricity and Magnetothermoelasticity[J]. Applied Mathematics and Mechanics, 2002, 23(3): 229-238.

Citation:

DAI Tian-min. Restudy of Coupled Field Theories for Micropolar Continua (Ⅱ)──Thermopiezoelectricity and Magnetothermoelasticity[J]. Applied Mathematics and Mechanics, 2002, 23(3): 229-238.

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Restudy of Coupled Field Theories for Micropolar Continua (Ⅱ)──Thermopiezoelectricity and Magnetothermoelasticity

DAI Tian-min

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

Received Date: 2000-12-29
Rev Recd Date: 2001-09-11
Publish Date: 2002-03-15

Abstract

Abstract

The theories of thermopiezoelectricity and magnetoelasticty for microplar continua have been systemetically 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 thermopiezo-electricity 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.
- nonlocal,
- micropolar,
- thermopiezoelectricity,
- magnetothermoelasticity,
- principle of energy conservation,
- Hamilton principle

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References(6)

References

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