中文摘要：

将冻结壁等效为弹性模量、黏聚力呈抛物线分布的功能梯度材料（FGM）厚壁圆筒,基于统一强度理论,考虑中间主应力的影响,推导得到冻结壁的弹性极限荷载、弹塑性应力场及塑性极限荷载的解析解。将所得结果与均质冻结壁进行比较,并分析强度理论参数对各个解析解的影响。研究结果表明：考虑冻结壁的FGM特性,应力分布较均质冻结壁有一定的变化,环向应力由线性分布变为抛物线型分布;环向应力的最大值不再出现在冻结壁的内壁或外壁,而是出现在冻结壁厚度的中部;与均质冻结壁相比,FGM冻结壁的弹性极限荷载较大,但塑性极限荷载却较小;FGM冻结壁的弹性极限荷载、塑性极限荷载、径向应力及环向应力均随强度理论参数的增大而增大。所得结果可为冻结壁的设计提供一定的理论参考。

英文摘要：

The frozen soil wall can be simplified as the functionally graded material（FGM） thick cylinder with parabolic-distributed elastic modulus and cohesion. In consideration of the intermediate principal stress, the analytical solutions of the elastic ultimate load, the elastioplastic stress field and the plastic ultimate load are derived based on the unified strength theory. The results are further compared with that of a homogeneous model, the influence of the parameters of unified strength theory is investigated as well. The results show that the stress distribution of FGM frozen soil wall differs from that of homogeneous frozen soil wall, especially the circumferential stress changes from linear distribution to parabolic distribution. The maximum circumferential stress appears in the central thickness instead of the inner or outer wall. The elastic ultimate load is higher but the plastic limit load is lower than that of homogeneous frozen soil wall. The elastic ultimate load and the plastic ultimate load, the radial stress and the circumferential stress will increase with the increase of the parameters of unified strength theory. The conclusions can provide theoretical reference for the design of frozen soil wall.