复合加载情况下非均质地基上条形基础的极限承载力研究

›› 2009, Vol. 30 ›› Issue (5): 1281-1286.

复合加载情况下非均质地基上条形基础的极限承载力研究

张其一_{1, 2}，栾茂田^{1, 2}

1.大连理工大学海岸和近海工程国家重点实验室，大连 116024；2.大连理工大学土木水利学院岩土工程研究所，大连 116024

收稿日期:2007-09-21 出版日期:2009-05-10 发布日期:2011-02-18
通讯作者: 栾茂田，男，1962年生，博士，教授，博士生导师，主要从事岩土工程教学与科研工作。 E-mail:mtluan@dlut.edu.cn
作者简介:张其一，男，1977年生，博士研究生，主要从事土工基本理论与数值分析、海洋土力学计算等方面的研究。
基金资助:
国家自然科学基金资助项目（No. 50579006；No. 50179006）。

Ultimate bearing capacity of strip footings on inhomogeneous soil foundation under combined loading

ZHANG Qi-yi ^{1, 2,} LUAN Mao-tian^{1, 2}

1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China 2. Institute of Geotechnical Engineering, School of Civil and Hydraulic Engineering, Dalian University of Technology, Dalian 116024, China

Received:2007-09-21 Online:2009-05-10 Published:2011-02-18

摘要/Abstract

摘要：

复合加载情况下精确求解非均质地基上条形基础的极限承载力以及评价影响极限承载力的相关因素，具有很强的工程实用与理论参考价值。基于极限平衡原理，在Mohr-Coulomb破坏准则的基础上，将非均质地基上条形基础极限承载力问题等价为一个边界待定的泛函极值问题。利用变分原理得到与平衡方程相等价的积分约束条件以及相应的欧拉方程与横截条件。引入问题边界条件，利用VC++6.0编制了数值计算程序，求得了复合加载情况下非均质地基破坏时的滑裂面函数与破坏包络曲线。从理论上研究了土体内摩擦角、土体黏聚力、土层强度比与地下水位变化等因素对地基破坏包络曲线的影响。研究结果表明，其解答是地基极限承载力真实解的某一最小上限。

关键词: 变分原理, 复合加载, 破坏包络曲线, 极限承载力, 条形基础, 非均质地基

Abstract:

To evaluate the ultimate bearing capacity of strip footings on inhomogeneous soil foundations under combined loading accurately and to estimate the relevant factors which affect the ultimate bearing capacity are very valuable in engineering practice and significant in theory. Based on limit equilibrium theory and yielding criterion of Mohr-Coulomb, the application of the variational principle transforms the problem from its equilibrium equation format to a format of functional extremization equivalently which boundary value is undetermined. A nonlinear program, which is generated using VC++6.0, is used to achieve the function of the 2-D sliding surface and the failure envelope of strip footings on inhomogeneous soil foundation under combined loading. The friction angle of soil, the cohesive force, the shear strength ratio ci / ci+1 and the fluctuation of groundwater level, which affect the ultimate bearing capacity of strip footings on inhomogeneous soil foundation and the failure envelope, are studied theoretically. The results show that it is a certain upper bound minimum solution of the bearing capacity of soil foundation.

Key words: variational principle, combined loading, failure envelope, ultimate bearing capacity, strip footing, inhomogeneous soil foundation

中图分类号:

TU 471

张其一，栾茂田. 复合加载情况下非均质地基上条形基础的极限承载力研究[J]. , 2009, 30(5): 1281-1286.

ZHANG Qi-yi, LUAN Mao-tian. Ultimate bearing capacity of strip footings on inhomogeneous soil foundation under combined loading[J]. , 2009, 30(5): 1281-1286.

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