对带有微结构的连续统中现有的基本定律、均衡方程和Clausius-Duhem 不等式进行了系统的再研究,发现所有的能量均衡方程和相关的C-D 不等式都是不完整的·本文对现有的结果进行了评注，并提出新的能量均衡方程和相关的C-D 不等式。　

对现有的带有微结构的弹性固体理论进行了再研究，并指出由于引进许多记号而使诸基本方程的推导过程复杂化的原因·针对该理论中存在的问题，提出更为普遍的功率能率原理,并借助此原理和广义Piola定理即可自然地推导出局部和非局部理论的运动方程、能率和能量的均衡方程、本构方程和边界条件·这些基本方程和边界条件连同初始条件一起即可用来解决带有微结构的弹性固体动力学理论的混合问题·　

采用Dluzewski关于以Euler角为角坐标和放弃微惯性守恒定律的提法，并引进若干新的定义后，自然地而又系统地推导出三组新的非局部极性热力连续统的均衡方程和跳变条件以及广义Clausius-Duhem不等式。这些结果较之迄今为止权有的由Eringen提出的三组非局部微极热力连续统的相应结果更为一般，而且易于处理有限变形问题。

Some consistency problems existing in continuum field theories are briefly reviewed. Three arts of consistency problems are clarified based on the renewed basic laws for polar continua. The first art discusses the consistency problems between the basic laws for polar continua. The second art discusses the consistency problems between the basic laws for polar continua and for other nonpolar continua. The third art discusses the consistency problems between the basic laws for micropolar continuum theories and the dynamical equations for rigid body. The results presented here can help us to get a deeper understanding the structure of the basic laws for various continuum theories and the interrelations between them. In the meantime, these results obtained show clearly that the consistency problems could noet be solved in the framework of traditional basic laws for continuum field theories.

In this general lecture new models for continuum mechanics and generalized continuum mechanics are proposed and a contrastive review of the traditional and our results concerning basic laws and principles for continuum field theories are presented. The reasons why there exist some unsolved problems since the beginning of histories of various continuum field theories are expounded. Cornplete laws and equations of motion for continuum field theories based on these new models are derived. Some suggestions for further researches are made.