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将圆孔周围土体变形区分为弹性区、软化区和流动区,在弹性区中采用小变形理论,在软化区和流动区中采用大变形理论和非相关联流动准则,假定土体服从统一强度准则,根据应力平衡方程、应力和应变连续的边界条件,推导出考虑土体剪胀和中主应力等影响因素的应力和应变场分布规律、区域半径和极限扩孔压力的理论解答;并将极限扩孔压力理论的计算结果与传统Vesic扩孔理论计算结果进行对比。结果表明:扩孔压力和软化区半径受土体剪胀的影响比受参数b的影响大,而且球孔比柱孔更加显著;极限扩孔压力理论计算结果与Vesic结果非常接近。
The deformation of the soil around the circular hole is divided into elastic zone, softening zone and flow zone. In the elastic zone, the small deformation theory is adopted. Large deformation theory and non-associated flow rule are used in the softening zone and the flow zone. According to the stress balance equation and the continuous stress and strain boundary conditions, the stress and strain field distribution laws, the area radius and the limit expansion pressure considering the dilatancy and intermediate principal stress of soil are deduced. Comparing the calculation results of the theory of ultimate expansion pressure with the calculation results of the traditional reaming theory of Vesic. The results show that the influence of expansion pressure and softening radius on the soil dilatancy is more affected by the parameter b, and the ball hole is more significant than the column hole. The theoretical calculation result of the limit expansion pressure is very close to Vesic result.