主应力与主平面对应关系的判定及其数学证明

Locating the Orientation of the Corresponding Relationship Between Principal Stress and Principal Plane and Its Mathematics Certification

提出了直接利用已知条件判定平面应力状态下主平面与主应力对应关系的方法,以及对该方法进行了数学证明.且该方法可以推广到主剪应力的方位角的判定,以及推广到平面应变分析中去.

In this paper, the author puts forward the method about how to make direct use of the known condition to locate the orientation of the corresponding relationship between principal stress and principal plane. In addition to that, the author also makes a mathematics certification about the method. Furthermore this method could be spread to the determination of orientation angle of principal shearing stress and to the analysis of plane strain.