[1]赵明华,许佳准,张锐,等.不排水条件下的临坡条形基础承载力有限元极限分析[J].长安大学学报(自然科学版),2019,39(03):45-52.
　ZHAO Ming hua,XU Jia zhun,ZHANG Rui,et al.Bearing capacity of strip footings on undrained slopes using finite element limit analysis[J].Journal of Chang’an University (Natural Science Edition),2019,39(03):45-52.
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不排水条件下的临坡条形基础承载力有限元极限分析()
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长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
第39卷
期数:
2019年03期
页码:
45-52
栏目:
道路工程
出版日期:
2019-05-15

文章信息/Info

Title:
Bearing capacity of strip footings on undrained slopes using finite element limit analysis
作者:
赵明华; 许佳准; 张锐; 肖尧
(1. 湖南大学 岩土工程研究所，湖南 长沙 410082; 2. 中南大学 土木工程学院，湖南 长沙 410075)
Author(s):
ZHAO Minghua1;  XU Jiazhun1;  ZHANG Rui2;  XIAO Yao1
(1. Institute of Geotechnical Engineering, Hunan University, Changsha 410082, Hunan, China; 2. School of Civil Engineering, Central South University, Changsha 410075, Hunan, China)
关键词:
道路工程; 有限元; 极限分析; 不排水边坡; 条形基础; 极限承载力
Keywords:
road engineering;  finite element;  limit analysis;  undrained slope;  strip footing;  ultimate bearing capacity
文献标志码:
A
摘要:
为计算作用在不排水边坡上条形基础的极限承载力，首先，根据临坡条形基础承载特性，将基础假定为刚体且基底与土体之间没有摩擦力，同时将基础的埋置深度用其两侧的超载代替，并将其视为平面应变问题，建立计算模型。然后，通过有限单元对应力场和速度场进行离散，根据上、下限定理建立节点应力和节点速度的约束方程，将外力荷载或总的内能耗散作为目标函数，建立相应的数学规划模型，并采用优化算法求解该模型，得到严格的上、下限解，在优化计算过程中对MohrCoulomb准则进行了双曲线近似处理。最后，在此基础上分析了坡高H、基础与坡顶的距离L、超载q、[WTBX]坡角β以及黏聚力Cu对极限承载力系数p/γB的影响（γ为重度，B为坡顶基础宽度，p为基础承载力)。同时将计算结果与已有成果进行对比分析，验证了该方法的正确性，总结了3种极限破坏模式，并提供了常见不排水边坡的设计计算表格，以供实际工程设计参考。研究结果表明：p/γB随H的增大先急剧减小，然后基本稳定，趋近于一固定值，临界坡高为2倍基础宽度；p/γB随基础与坡顶的距离增大而增大，且趋向于一常数；p/γB随超载的增大而线性增大，且L/B越大，增长速率越快；p/γB与坡角基本成线性关系，其值随着坡角β的增大而减小；p/γB随着黏聚力系数（Cu/γB）的增大而线性增大。
Abstract:
In order to calculate the bearing capacity of strip footings on undrained slopes, first, according to the bearing characteristics of strip footing on slopes, the footing was assumed to be a smooth rigid body and there was no friction between the base and the soil, the footing buried depth was replaced by overloads on both sides, the problem was considered to be a plane strain problem, and a calculation model was established. Second, the stress field and velocity field was discreted by finite element, and the constraint equations of nodal stress and nodal velocity was established, according to the upper and lower bound theorems. The total internal energy dissipation or external force load was used as the objective function, a mathematical programing model was established and an appropriate algorithm was used to solve the function，and the strict upper and lower solutions were obtained. The hyperbolic approximation of the MohrCoulomb criterion was processed during the optimization calculation. At the same time, the results of this paper were compared with the existing results, the correctness of the method was verified. Three types of failure mechanics were summarized, and the design tables for undrained slopes were presented to provide reference for engineering practice. Finally, based on the numerical results, the effects of slope height H, the distance between the foundation and the top of the slope L, overload q, slope angle β, and cohesion Cu on the bearing capacity factor p/γB were evaluated. Where γ was unit of weight, B was the width of slope top foundation, p was bearing capacity of foundation. The results show that p/γB increases with an increase in H sharply and eventally apparoches a constant, the critical slope height is two times that of the footing width. p/γB increases with an increase in L/B and eventally apparoches a constant. p/γB increases linearly with overload q and the larger the L/B, the faster is the growth rate. The relationship between p/γB and slope angle β is linear, and it decreases with an increase in the slope angle β. p/γB is linear with the cohesion Cu/γB, and it increases with the increase in cohesion Cu/γB. 1 tab, 13 figs, 23 refs.

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更新日期/Last Update: 2019-05-23