滑移线法求解极限承载力问题的一些进展  

Progress in slip lines method to solve the bearing capacity problem

作　　者：肖大平[1] 朱维一 陈环 

机构地区：[1]中国建筑科学研究院地基所 [2]深圳特发中荷国际工程有限公司 [3]天津大学水资源与港湾工程系

出　　处：《岩土工程学报》1998年第4期25-29,共5页Chinese Journal of Geotechnical Engineering

摘　　要：当网格剖分足够密时，采用差分算法可得到逼近有重土静力极限平衡分析精确值的数值解。根据大量计算分析，首次揭示出承载力系数与无量纲参数的内在关系，并据此将滑移线法精确数值解拟合为简洁的、解析表达的极限承载力公式。该公式考虑了承载力系数的非线性，并可避免粘聚力、边载、土容重三项叠加误差。通过与各种经典承载力公式的分析比较和试验，论证了其正确性和可行性。现该公式已被《港口工程技术规范（地基基础）》修订版采用。Slip Lines Method (SLM) has strict bases both on mathematics and mechanics. Using finite difference algorithm with dense mesh , the numerical solution approaches to that of the static limit equilibrium analysus , and accurate value can be obtained. According to a vast amount of computations and analyses , the inherent link between N γ and dimensionless parameter λ=γ·B/(c+q·tanφ) is brought out for the first time, then the SLM accurate numerical solution can be fitted to a concise analytic formula. The bearing capacity formulae proposed in this paper take the nonlinearity of N γ into account for the first time, and avoid the superposition error . By means of comparison with various classic bearing capacity formulae and model test results, the validity and utility of the bearing capacity formulae proposed in this paper are examined. Now the bearing capacity formulae have been recommended to the revised edition of Port Engineering Technical Codes.

关 键 词：滑移线法 极限承载力 极限平衡 承载力 地基基础 

分 类 号：TU470[建筑科学—结构工程]