重建极性连续统理论的基本定律和原理(Ⅳ)——表面守恒定律  

Renewal of Basic Laws and Principles for Polar Continuum Theories (Ⅳ)-Surface Couservation Laws

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》2003年第11期1101-1107,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10072024);辽宁省教育委员会基础研究基金资助项目(990111001)

摘　　要：　从普遍均衡定律的平移和转动的不变性出发来重新建立较为完整的微极热力连续统的表面守恒定律,提出了广义的能量动量和能量动量矩张量·　给出了Piola型、Cauchy型和Kirchhoff型微极热力连续统的表面守恒定律的具体形式·　现有的结果都可以当做是特殊情形从该结果自然地推导出来。The purpose is to reestablish rather complete surface conservation laws for micropolar thermomechanical continua from the translation and the rotation invariances of the general balance law. The generalized energy\|momentum and energy\|moment of momentum tensors are presented. The concrete forms of surface conservation laws for micropolar thermomechanical continua are derived. The existing related results are naturally derived as special cases from the results proposed in this paper. The incomplete degrees of the existing surface conservation laws are clearly seen from the process of the deduction. The surface conservation laws for nonlocal micropolar thermomechanical continua may be easily obtained via localization.

关 键 词：表面守恒定律 微极热力连续统 广义能量动量张量 广义能量动量矩张量 

分 类 号：O33[理学—一般力学与力学基础]