软黏土基坑抗隆起稳定一般以不排水强度控制。考虑挡墙入土深度、挡墙与土体之间的摩擦和土体非均质各向异性,首先根据严格的塑性极限分析上限定理假设挡墙完全光滑或完全粗糙,并运用考虑软黏土K0正常固结和基坑开挖引起土体应力主轴旋转的不排水各向异性强度公式,推导基于Terzaghi机构和Prandtl机构的基坑抗隆起稳定上限解。将在各向同性情况下推导所得稳定系数计算公式与同样基于上限法的Chang(2000)和黄茂松等(2008)以及基于极限平衡法的Terzaghi(1943)稳定系数计算公式进行对比。研究挡墙入土深度、土体强度各向异性和非均质等因素对基坑抗隆起稳定性的影响,同时与多块体上限法的计算结果进行比较分析,验证本文推导方法的适用性。
Undrained stability often controls the design of braced excavations in soft clays.Upper bound solutions of base stability considering both the Terzaghi mechanism and the Prandtl mechanism are proposed using strict upper bound theorem of plastic limit analysis.Some factors which may influence base stability,such as the inserted depth of the retaining wall,the friction between the wall and the soil,anisotropy and non-homogeneity of soft clays,can be taken into consideration via the two mechanisms mentioned above and a multi-block upper bound method.Base stability of clays under isotropic consolidation was assessed by comparing the stability numbers from proposed formulas with those from Chang(2000),Huang et al(2008) and Terzaghi(1943).The effects of inserted depth of the retaining wall and soil anisotropy and non-homogeneity on the safety factors were discussed for K0-consolidated clays.The proposed methods were verified through case studies.