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应力解除法是在工程中使用较多的地应力测量方法,根据钻孔的变形情况与地应力之间的数量关系来计算地应力状态。以平面应力状态下圆孔变形后的几何形态为研究对象,探讨弹性理论中尚未涉及的弹性体内部结构几何形态问题,通过严格的公式推导和数学变换,证明无限大弹性薄板中圆孔变形后的几何形态为椭圆,并给出椭圆形态参数与应力之间的换算公式。对椭圆的形态特征展开研究,提出利用圆孔上任意三个点推算椭圆形态参数的方法,并推导基于钻孔变形的椭圆形态参数解算公式,通过具体的算例分析,证明该方法的可行性和公式的正确性。开展钻孔几何形态与应力关系的研究,构建了一套完整的基于钻孔几何形态的应力解算方法,对开展深部地应力测量具有重要意义。
Stress relief method is used in engineering more stress measurement method, according to the deformation of borehole and the relationship between the amount of stress to calculate the state of stress. The geometric shape of the circular hole under plane stress is taken as the research object. The geometric shape of the internal structure of the elastic body, which has not been involved in the elastic theory, is discussed. Through strict formula derivation and mathematical transformation, it is proved that the deformation of the circular hole in the infinite elastic plate The geometry of the ellipse is ellipse, and the formula between the parameters of ellipse and the stress is given. The morphological characteristics of the ellipse are studied. The method to calculate the parameters of the ellipse using any three points on the circular hole is proposed. The formula of ellipse morphological parameters based on the deformation of the borehole is deduced. The concrete example shows that the method is feasible The correctness of sex and formula. To study the relationship between the hole geometry and stress, a complete set of stress solution method based on the geometry of the borehole is constructed, which is of great significance for carrying out deep in-situ stress measurement.