重建极性连续统理论的基本定律和原理(Ⅸ)——热力学  

Renewal of Basic Laws and Principles for Polar Continuum Theories (Ⅸ)-Thermomechanics

作　　者：戴天民[1] 

机构地区：[1]辽宁大学数学系和数学应用中心,沈阳110036

出　　处：《应用数学和力学》2005年第6期653-658,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10472041;10072024);辽宁省教育委员会科研资助项目(990111001)

摘　　要：　对现有的微极连续统场论的基本定律进行了再研究,并指出了它们的不完整性·　建立起新的微极连续统热静力学和热动力学的第一和第二基本定律·　从这些定律可以很自然地和同时推导出热静力学的所有平衡方程和熵不等式以及热动力学的所有均衡方程和熵率不等式·　随时对这里得到的新结果与现有微极连续力学专著和教科书中的相应结果进行了比较·　着重指出的是。The existing fundamental laws of thermodynamics for micropolar continuum field theories are restudied and their incompleteness is pointed out.New first and second fundamental laws for thermostatics and thermodynamics for micropolar continua are postulated.From them all equilibrium equations and the entropy inequality of thermostatics as well as all balance equations and the entropy rate inequalities are naturally and simultaneously deduced.The comparisons between the new results presented here and the corresponding results demonstrated in existing monographs and textbooks concerning micropolar continuum mechanics are made at any time.It should be emphasized to note that,the problem of why the local balance equation of energy and the local entropy inequality could not be obtained from the existing fundamental laws of thermodynamics for micropolar continua,is believed to be clarified.

关 键 词：微极连续统 基本定律 热静力学 热动力学 能率 熵率不等式 

分 类 号：O33[理学—一般力学与力学基础]