Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (2): 119-126.

• 论文 •    下一篇

RESTUDY OF COUPLED FIELD THEORIES FOR MICROPOLAR CONTINUA(Ⅰ)──MICROPOLAR THERMOELASTICITY

戴天民   

  1. Department of Mathematics & Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P R China
  • 收稿日期:2000-12-29 修回日期:2001-09-11 出版日期:2002-02-18 发布日期:2002-02-18
  • 基金资助:
    the National Natural Science Foundation of China(10072024);the International Cooperation Project of the NSFC(10011130235)and the DFG(51520001);the Research Foundation of Liaoning Education Committee(990111001)

RESTUDY OF COUPLED FIELD THEORIES FOR MICROPOLAR CONTINUA(Ⅰ)──MICROPOLAR THERMOELASTICITY

DAI Tian-min   

  1. Department of Mathematics & Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P R China
  • Received:2000-12-29 Revised:2001-09-11 Online:2002-02-18 Published:2002-02-18
  • Supported by:
    the National Natural Science Foundation of China(10072024);the International Cooperation Project of the NSFC(10011130235)and the DFG(51520001);the Research Foundation of Liaoning Education Committee(990111001)

摘要: Problems of micropolar thermoelasticity have been presented and discussed by some authors in the traditional framework of micropolar continuum field theory. In this paper the theory of micropolar thermoelasticity is restudied. The reason why it was restricted to a linear one is analyzed. The rather general principle of virtual work and the new formulation for the virtual work of internal forces as well as the rather complete Hamilton principle in micropolar thermoelasticity are established. From this new Hamilton principle not only the equations of motion, the balance equation of entropy, the boundary conditions of stress, couple stress and heat, but also the boundary conditions of displacement, microrotation and temperature are simultaneously derived.

关键词: micropolar continua, thermoelasticity, principle of virtual work, Hamilton principle

Abstract: Problems of micropolar thermoelasticity have been presented and discussed by some authors in the traditional framework of micropolar continuum field theory. In this paper the theory of micropolar thermoelasticity is restudied. The reason why it was restricted to a linear one is analyzed. The rather general principle of virtual work and the new formulation for the virtual work of internal forces as well as the rather complete Hamilton principle in micropolar thermoelasticity are established. From this new Hamilton principle not only the equations of motion, the balance equation of entropy, the boundary conditions of stress, couple stress and heat, but also the boundary conditions of displacement, microrotation and temperature are simultaneously derived.

Key words: micropolar continua, thermoelasticity, principle of virtual work, Hamilton principle

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