DAI Tian-min. Restudy of Coupled Field Theories for Micropolar Continua(I)─Micropolar Thermoelasticity[J]. Applied Mathematics and Mechanics, 2002, 23(2): 111-118.
 Citation: DAI Tian-min. Restudy of Coupled Field Theories for Micropolar Continua(I)─Micropolar Thermoelasticity[J]. Applied Mathematics and Mechanics, 2002, 23(2): 111-118.

# Restudy of Coupled Field Theories for Micropolar Continua(I)─Micropolar Thermoelasticity

• Rev Recd Date: 2001-09-11
• Publish Date: 2002-02-15
• 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 thoery 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.
•  [1] Nowacki W.Theory of Asymmetric Elasticity[M].Oxford:Pergamon Press,1986. [2] Eringen A C,Kafadar C B.微极场论[M].戴天民译.南京:江苏科学技术出版社,1982. [3] Eringen A C.Microcontinuum Field Theories[M].New York:Springer-Verlag,1998. [4] Stojanovic R.On the principle of virtual work in the theory of oriented media[J].ZAMM,1973,53:T79-T82. [5] 戴天民.广义连续统场论中新的功能及功率能率原理[J].应用数学和力学,2001,22(11):1111-1118.

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