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基于混合常应力-光滑应变单元的极限分析方法 被引量:7
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作者 周锡文 刘锋涛 +2 位作者 戴北冰 张澄博 张金鹏 《岩土力学》 EI CAS CSCD 北大核心 2022年第6期1660-1670,共11页
极限分析是岩土工程稳定性评价的重要方法之一。传统的有限元极限分析方法,采用低阶三角形单元时需要引入速度间断面并采用特殊网格布局,或者采用高阶三角形单元等措施来克服体积锁定问题和提高数值精度。在光滑有限元法(smoothed finit... 极限分析是岩土工程稳定性评价的重要方法之一。传统的有限元极限分析方法,采用低阶三角形单元时需要引入速度间断面并采用特殊网格布局,或者采用高阶三角形单元等措施来克服体积锁定问题和提高数值精度。在光滑有限元法(smoothed finite element method,简称SFEM)的基础上,提出了一种基于新型混合常应力-光滑应变单元的极限分析方法(mixed constant stress-smoothed strain element limit analysis,简称MCSE-LA方法)。在服从关联流动法则和Mohr-Coulomb屈服准则的基础上,MCSE-LA方法最终将数值极限分析转化为以应力和极限荷载乘子为基本未知量的二阶锥规划(second orderconeprogramming,简称SOCP)问题。MCSE-LA方法具有形式简单、优化变量相对较少和无需显式的写出塑性内能耗散函数的优点,并且根据凸锥优化的对偶理论,可以从对偶问题中获得速度场和塑性乘子等信息。此外,还采用基于最大塑性剪应变率的网格自适应加密算法,该算法在塑性区细化网格,显著提高了新数值极限分析方法的计算效率和精度。最后通过边坡稳定分析的结果对比,验证了MCSE-LA方法的计算精度和效率均高于传统的有限元极限分析方法。 展开更多
关键词 数值极限分析 常应力-光滑应变混合单元 二阶锥规划 自适应网格加密
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铁路悬索桥大吨位隧道锚承载性能分析 被引量:14
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作者 江南 冯君 《铁道学报》 EI CAS CSCD 北大核心 2013年第8期88-93,共6页
丽香铁路金沙江大桥是我国首座采用大吨位隧道式锚碇的铁路悬索桥。本文采用三维弹塑性有限元方法对隧道锚的变形机理、承载能力以及围岩稳定状态进行分析。研究结果表明:在正常缆力作用下,锚碇体及周围岩体的位移均处于毫米量级,远小... 丽香铁路金沙江大桥是我国首座采用大吨位隧道式锚碇的铁路悬索桥。本文采用三维弹塑性有限元方法对隧道锚的变形机理、承载能力以及围岩稳定状态进行分析。研究结果表明:在正常缆力作用下,锚碇体及周围岩体的位移均处于毫米量级,远小于悬索桥塔顶允许位移;锚碇体整体表现为以前底板为支点,锚碇体后部向上转动和整体向前滑移的变形模式;锚碇体及围岩绝大部分处于三向受压状态,只是在锚碇底端与下部围岩的接触部分,以及顶拱与边墙交界处局部范围内存在拉应力,建议在这些部位采取措施重点加强;基于超载极限分析法计算得到锚碇体的整体抗滑安全系数在9以上。有限元分析结果为铁路悬索桥隧道锚的优化设计提供了理论依据。 展开更多
关键词 隧道式锚碇 铁路悬索桥 数值极限分析 变形机理
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岩土常规三轴Drucker-Prager准则 被引量:4
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作者 冯嵩 郑颖人 高红 《岩土力学》 EI CAS CSCD 北大核心 2024年第10期2919-2928,共10页
随着三维数值极限分析得到日益关注,亟需发展适用于岩土常规三轴应力状态的Drucker-Prager(DP)准则。当前尚无适用于岩土常规三轴条件的DP准则的精确解,而是使用近似的等面积圆DP-3_(1)准则,该准则偏安全。基于岩土三剪能量准则,推导了... 随着三维数值极限分析得到日益关注,亟需发展适用于岩土常规三轴应力状态的Drucker-Prager(DP)准则。当前尚无适用于岩土常规三轴条件的DP准则的精确解,而是使用近似的等面积圆DP-3_(1)准则,该准则偏安全。基于岩土三剪能量准则,推导了该准则最高点(即该准则与摩尔-库仑准则的切点)对应的罗德角的表达式,进而通过最高点建立了岩土常规三轴DP-3_(2)准则,并将其应用于常规三轴条件下土体的极限荷载计算与边坡稳定性分析。研究表明:DP-3_(2)准则计算的常规三轴下土体极限荷载为实测值的87%~97%,DP-3_(2)准则与DP-3_(1)准则计算的极限荷载之比可达1.19,且随着围压减小、黏聚力c增大或者内摩擦角φ增大,二者计算结果的差异增大;DP-3_(2)准则计算的土质边坡稳定安全系数为DP-3_(1)准则计算结果的1.01~1.04倍,且二者差异随着坡度增大而增大。这些结果表明DP-3_(2)准则适用于岩土常规三轴应力状态下的数值极限分析。 展开更多
关键词 数值极限分析 强度准则 有限元法 边坡稳定性
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Safe roof thickness and span of stope under complex filling body 被引量:8
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作者 罗周全 谢承煜 +2 位作者 贾楠 杨彪 程贵海 《Journal of Central South University》 SCIE EI CAS 2013年第12期3641-3647,共7页
Longhole caving method was used to mine gently inclined thick orebody step by step in a test stope of tin mine under complex filling body. The problem that the complex filling body around the stope affects the stabili... Longhole caving method was used to mine gently inclined thick orebody step by step in a test stope of tin mine under complex filling body. The problem that the complex filling body around the stope affects the stability of roof thickness, chamber and spacer pillar in actual mining was investigated; meanwhile, the formed goaf during mining is so vulnerable that surrounding rock collapses early. Based on this point, elasticity mechanics and limit span theory were used to study separately the roof thickness and the span limit of goaf formed in mining, and then a reasonable roof thickness of 8 m and goaf span of 14 m are proposed. In addition, the stability of roof thickness, chamber and spacer pillar were investigated and analyzed by using numerical analysis method; meanwhile, the field monitoring on the displacement of caving chamber was conducted. The results show that the maximum compressive stress of surrounding rock is 20 MPa, and the maximum tensile stress is 1.2 MPa, which is less than the ultimate tensile strength of 2.4 MPa. Moreover, plastic zone has little influence on stope stability. In addition, the displacement of 11 mm is also smaller. The displacement monitoring results are consistent with the numerical results. Thus, the roof thickness and span of goaf proposed are safe. 展开更多
关键词 complex filling body roof thickness span of goal mechanical analysis numerical analysis
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Numerical and experimental analyses for bearing capacity of rigid strip footing subjected to eccentric load 被引量:1
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作者 卢谅 王宗建 K.ARAI 《Journal of Central South University》 SCIE EI CAS 2014年第10期3983-3992,共10页
A footing may get an eccentric load caused by earthquake or wind, thus the bearing capacity of footing subjected to eccentric load become a fundamental geotechnical problem. The conventional limit equilibrium method u... A footing may get an eccentric load caused by earthquake or wind, thus the bearing capacity of footing subjected to eccentric load become a fundamental geotechnical problem. The conventional limit equilibrium method used for this problem usually evaluates the material properties only by its final strength. But the classical finite element method(FEM) does not necessarily provide a clear collapse mechanism associated with the yield condition of elements. To overcome these defects, a numerical procedure is proposed to create an explicit collapse mode combining a modified smeared shear band approach with a modified initial stress method. To understand the practical performance of sand foundation and verify the performance of the proposed procedure applied to the practical problems, the computing results were compared with the laboratory model tests results and some conventional solutions. Furthermore, because the proposed numerical procedure employs a simple elasto-plastic model which requires a small number of soil parameters, it may be applied directly to practical design works. 展开更多
关键词 bearing capacity eccentric load slip surface shear band finite element method model test
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