平面应力状态下的圆孔形态特征研究

发布时间：2019-01-30 21:05

【摘要】：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。
[Abstract]:The stress relief method is used in engineering to calculate the in-situ stress state according to the quantitative relationship between the deformation of the borehole and the in-situ stress. Taking the geometric shape of circular hole deformed under plane stress as the research object, this paper discusses the geometric shape of the inner structure of elastic body which has not been involved in elastic theory. By means of strict formula derivation and mathematical transformation, It is proved that the geometric shape of circular hole in infinite elastic thin plate is ellipse, and the conversion formula between elliptical shape parameter and stress is given. In this paper, the morphological characteristics of ellipses are studied, and a method of calculating ellipse shape parameters by using any three points on a circular hole is put forward, and the formula for calculating ellipse shape parameters based on borehole deformation is deduced. The feasibility of the method and the correctness of the formula are proved. In this paper, the relationship between borehole geometry and stress is studied, and a complete method of stress calculation based on borehole geometry is constructed, which is of great significance to the deep geostress measurement.
【作者单位】：中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室;
【基金】：中科院战略性先导科技专项(B类)资助项目(XDB10030200) 国家自然科学基金青年项目(41402278)~~
【分类号】：TU45

【相似文献】