摘要
线性强度准则被广泛应用于描述岩土材料的抗剪强度。但研究表明,几乎所有岩土材料的强度包络线都具有非线性特性。此外,边坡失稳往往受不利自然因素的影响,特别是地震活动频发的区域。因此,基于极限分析上限法,提出了一种非线性强度准则下三维土坡抗震稳定性分析方法,采用多切线法分段逼近幂律强度准则包络线,以考虑土体强度非线性。同时,引入一种新的三维多锥破坏机制来适应非线性幂律准则。采用修正拟动力法对地震荷载进行表征,考虑土体阻尼特性且不违反边坡表面零应力边界条件。根据功能平衡方程,推导了两种评价边坡稳定性的指标,并结合遗传算法和序列二次规划算法寻找最优解。通过与已有文献比较,验证了所提方法的有效性和准确性。进一步参数化研究揭示了土体强度非线性、地震作用和土体三维几何特性对边坡稳定性的影响。
The linear strength criterion is widely used to describe the shear strength of geotechnical materials,however studies have shown that almost all strength envelopes of geotechnical materials have nonlinear characteristics.In addition,slope instability is often influenced by adverse natural factors,especially in areas of frequent seismic activities.Therefore,based on the upper bound method of limit analysis,a seismic stability analysis method of three-dimensional(3D)soil slopes under nonlinear strength criterion is proposed in this paper.The multi-tangent method is used to approximate the envelope of the Power-Law strength criterion to account for the nonlinearity of the soil strength.Meanwhile a new 3D multi-cone failure mechanism is introduced to describe the nonlinear Power-Law criterion.A modified pseudo-dynamic method is used to characterize the seismic load,which does not violate the zero-boundary condition and considers the damping properties of geomaterials.According to the work-energy balance equation,two evaluation idexes for evaluating slope stability are derived,and the optimal solution can be obtained by combining genetic algorithm and sequential quadratic programming algorithm.By comparing with the existing literature,the effectiveness and accuracy of the proposed method are verified.Further parametric studies reveal the influence of soil strength nonlinearity,seismic action and 3D geometric characteristics of soil on slope stability.
作者
朱学亮
邵帅
邵生俊
姬羽菲
禹志平
ZHU Xueliang;SHAO Shuai;SHAO Shengjun;JI Yufei;YU Zhiping(Institute of Geotechnical Engineering,Xi'an University of Technology,Xi'an 710048,China;Department of Architecture and Urban Planning,Xi’an University of Technology,Xi'an 710048,China;Shaanxi Key Laboratory of Loess Mechanics and Engineering,Xi'an University of Technology,Xi'an 710048,China)
出处
《岩土工程学报》
北大核心
2025年第9期1925-1935,共11页
Chinese Journal of Geotechnical Engineering
基金
国家自然科学基金项目(52108342)
陕西省自然科学基础研究计划-引汉济渭联合基金项目(2019JLP-21,2019JLZ-13)
西安理工大学博士启动金项目(107-451122001)
陕西省水利科技计划项目(2021slkj-12)。
关键词
幂律准则
广义切线法
三维土坡
拟动力法
极限分析
power-law criterion
generalized tangent method
three-dimensional soil slope
pseudo-dynamic method
limit analysis
