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为获得二向不均等地应力场中圆形冻结壁的受力变形规律,考虑开挖卸载工况,建立了冻结壁与围岩相互作用弹性力学模型,推导并用有限元软件验证了其解析解,且与传统加载模型进行了对比。着重分析了冻结壁内缘环向应力与径向位移的分布情况及其与各影响因素间的关系。研究表明:加载模型较本文卸载模型计算结果总体偏大;在冻结壁与围岩弹性模量的比值β较小时,考虑其相互作用可有效减小冻结壁的应力与位移;若地应力均匀系数λ较小,冻结壁内缘会出现环向拉应力,不利于其承载能力的发挥;卸载率、β、λ、冻结壁内外半径比均对冻结壁的应力、位移有较大影响,而泊松比的影响相对较小。本文计算模型能较真实地反映冻结壁的受力变形情况,研究成果对冻结壁的设计与施工具有一定的指导作用。
In order to obtain the stress and deformation law of the circular freezing wall in the unequal stress field, the elastic mechanics model of the interaction between the frozen wall and the surrounding rock is established considering the unloading condition of excavation. The analytical solution of the analytical solution , And compared with the traditional loading model. Emphasis is placed on analyzing the distribution of circumferential stress and radial displacement on the inner edge of the frozen wall and its relationship with various influencing factors. The results show that the loading model is generally larger than the unloading model in this paper. When the ratio β of the elastic modulus between the frozen wall and the surrounding rock is small, considering the interaction can reduce the stress and displacement of the frozen wall effectively. If the uniform stress coefficient λ is small, the circumferential tensile stress occurs in the inner edge of the frozen wall, which is unfavorable to the carrying capacity; the unloading rate, β, λ, the ratio of the inner and outer radii of the frozen wall have a greater impact on the stress and displacement of the frozen wall, The impact of pine is relatively small. The calculation model in this paper can reflect the stress and deformation of the frozen wall more faithfully, and the research results have some guidance to the design and construction of the frozen wall.