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.

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

• Rev Recd Date: 2003-06-06
• Publish Date: 2003-11-15
• 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.
•  [1] 戴天民.微极连续统的耦合场理论的再研究(Ⅰ)——微极热弹性理论[J].应用数学和力学,2002,23(2):111-118. [2] 戴天民.微极连续统的耦合场理论的再研究(Ⅱ)——微极热压电弹性理论和电磁热弹性理论[J].应用数学和力学,2002,23(3):229-238. [3] 戴天民.重建极性连续统理论的基本定律和原理(Ⅰ)——微极连续统[J].应用数学和力学,2003,24(10):991-997. [4] 戴天民.重建极性连续统理论的基本定律和原理(Ⅱ)——微态连续统理论和偶应力理论[J].应用数学和力学,2003,24(10):998-1014. [5] Nowacki W.Theory ofAsyymmnetric Elasticityy[M].Oxford:Pergamon Press,1986. [6] EringenAC,Kafadar C B.微极场论[M].戴天民译.南京:江苏科学技术出版社,1982. [7] Eringen A C.Microcontinuum Field Theories[M].New York:Springer-Verlag,1988. [8] Stojanovic R.On the principle of virtual work in the theory of oriented elastic media[J].Z Angew Math Mech,1973,53:79-82. [9] 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.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142