关键词: 莫尔圆, 极点法, 应力圆, 应变圆, 唯一性, 旋转法

Abstract: The pole point on Mohr circle of strain is a point so special that it can help to readily find strains on any specified plane by using diagram instead of complicated computation. In this paper, two methods are put forward to determine the pole point on the Mohr circle of strain, i.e. the parallel line method and the normal line method. On the basis of contradiction method, the uniqueness of strain pole point is proved by parallel line method and normal line method; on the basis of geometric graphical method, the reliability of determining strain pole point by parallel line method and normal line method is verified. Research shows that the two strain pole points determined by the two methods are on a diameter line of the Mohr strain circle. When certain proportional relation is given, the corresponding stress pole point and the strain pole point are on the radius line of the concentric circle consisting of the Mohr stress circle and Mohr strain circle. The strain pole point method is a preferred solution to determine complex strain state of the strain element and the deformations in geotechnical fields.

Key words: Mohr circle, pole point, stress, strain, uniqueness, rotation method