Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅴ)-Polar Thermomechanical Continua

DAI Tian-min

Article Contents

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DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅴ)-Polar Thermomechanical Continua[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1108-1113.

Citation:

DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅴ)-Polar Thermomechanical Continua[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1108-1113.

Citation:

DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅴ)-Polar Thermomechanical Continua[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1108-1113.

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Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅴ)-Polar Thermomechanical Continua

DAI Tian-min

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

Received Date: 2002-07-03
Rev Recd Date: 2003-06-06
Publish Date: 2003-11-15

Abstract

Abstract

The purpose is to reestablish rather complete basic balance equations and boundary conditions for polar thermomechanical continua based on the restudy of the traditional theories of micropolar thermoelasticity and thermopiezoelectricity. The equations of motion and the local balance equation of energy rate for micropolar thermoelasticity are derived from the rather complete principle of virtual power. The equations of motion, the balance equation of entropy and all boundary conditions are derived from the rather complete Hamilton principle. The new balance equations of momentum and energy rate which are essentially different from the existing results are presented. The corresponding results of micromorphic thermoelasticity and couple stress elastodynamics may be naturally obtained by the transition and the reduction from the micropolar case, respectively. Finally, the results of micropolar thermopiezoelectricity are directly given.
- polar,
- thermoelasticity,
- thermopiezoelectricity,
- basic balance equation,
- boundary condition

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References(9)

References

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