加筋地基极限承载力的变分解法  

The ultimate bearing capacity of reinforced foundation by variational solution

作　　者：陈榕[1,2] 栾茂田[1,2] 郝冬雪[3] 赵维[1,2] 

机构地区：[1]大连理工大学海岸和近海工程国家重点试验室,辽宁大连116085 [2]大连理工大学土木水利学院岩土工程研究所,辽宁大连116085 [3]东北电力大学建筑工程学院,吉林吉林132012

出　　处：《岩土工程学报》2010年第5期774-779,共6页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金项目(50678032);吉林省科技厅项目(20090544)

摘　　要：针对条形基础下均质软土加筋地基的极限承载力问题,根据塑性极限平衡原理,考虑各层筋材的拉力关系及拉力方向,在Mohr-Coulomb破坏准则的基础上,将加筋地基极限承载力问题等价为一个泛函极值问题。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,在引入边界条件后,求得了加筋地基破坏时的滑裂面、滑裂面上法向应力及加筋地基极限承载力。与此同时,研究了土体内摩擦角、土工材料受拉方向、土工材料加筋层数及铺设层间距等因素对地基极限承载力的影响,为软土地基加筋工程设计提供理论参考。As for the ultimate bearing capacity of strip footings on homogeneous reinforced foundation,based on the limit equilibrium theory and the yielding criteria of Mohr-Coulomb,the equilibrium equation can be equivalently transformed to the format of functional extremum with undetermined boundary values by using the variational principle.The function of the sliding surface and the failure envelope of strip footings on homogeneous reinforced foundation are achieved when the boundary conditions are introduced.The effects of the angle of internal friction and tension angle of geosynthetics,layer numbers of geosynthetics and layer spacing of geosynthetics on the ultimate bearing capacity of strip footings on homogeneous foundation and the failure envelop are studied.It is valuable for the design of reinforced earth structures.

关 键 词：土工材料 加筋地基 极限承载力 极限平衡法 变分法 

分 类 号：TU432[建筑科学—岩土工程]