非线性缺陷连续统的位错和旋错的连续性方程  

DISLOCATIONS AND DISCLINATIONS CONTINUITY EQUATIONS IN THE NONLINEAR DEFECT CONTINUUM

作　　者：张胜利[1] 

机构地区：[1]西安交通大学

出　　处：《西安交通大学学报》1996年第6期109-114,共6页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金

摘　　要：根据非线性缺陷连续统的４维几何理论，导出了位错和旋错的连续性方程．该方程具有广义坐标变换的协变性，并且其中仅出现与缺陷连续统自然构形对应的Ｒｉｅｍａｎｎ－Ｃａｒｔａｎ时空的联络，改进了原来需要两种联络的连续性方程．在线性近似下，导出的缺陷连续性方程简化为与线性缺陷连续统理论的位错和旋错连续性方程相同的形式．On the basis of the 4-dimensional geometric theory of the nonlinear defect continuum,the continuity equations of dislocations and disclinations are derived. These equations are covariant for the general coordinate transformation and only contain the connection of Riemann-Cartan space-time corresponding to the natural state of defect continuum,which refines the former continuity equations containing two type of connections. Under linear approximation,the defect continuity equations derived in this paper reduce to the similar expression as the dislocation and disclination continuity equations of the linear defect continuum theory.

关 键 词：位错 旋错 连续性方程 缺陷连续统理论 非线性 

分 类 号：O33[理学—一般力学与力学基础] O4[理学—力学]