Citation: | ZHAO Ming-hua, ZHANG Rui. Adaptive mesh refinement of upper bound finite element method and its applications in geotechnical engineering[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(3): 537-545. DOI: 10.11779/CJGE201603018 |
[1] |
陈祖煜. 土力学经典问题的极限分析上,下限解[J]. 岩土工程学报, 2002, 24(1): 1-11. (CHEN Zu-yu. Limit analysis for the classic problems of soil mechanics[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(1): 1-11. (in Chinese))
|
[2] |
CHEN W F. Limit analysis and soil plasticity[M]. Amsterdam: Elsevier Scientific Publishing Company, 1975.
|
[3] |
SLOAN S W. Geotechnical stability analysis[J]. Géotechnique, 2013, 63(7): 531-572.
|
[4] |
ANDERHEGGEN E, KNOPFEL H. Finite element limit analysis using linear programming[J]. International Journal of Solids and Structures, 1972, 8(12): 1413-1431.
|
[5] |
BOTTERO A, NEGRE R, PASTOR J, et al. Finite element method and limit analysis theory for soil mechanics problems[J]. Computer Methods in Applied Mechanics and Engineering, 1980, 22(1): 131-149.
|
[6] |
PASTOR J, TURGEMAN S. Limit analysis in axisymmetrical problems: numerical determination of complete statical solutions[J]. International Journal of Mechanical Sciences, 1982, 24(2): 95-117.
|
[7] |
SLOAN S W, KLEEMAN P W. Upper bound limit analysis using discontinuous velocity fields[J]. Computer Methods in Applied Mechanics and Engineering, 1995, 127: 293-314.
|
[8] |
王均星, 王汉辉, 吴雅峰. 土坡稳定的有限元塑性极限分析上限法研究[J]. 岩石力学与工程学报, 2004, 23(11): 1867-1873. (WANG Jun-xing, WANG Han-hui, WU Ya-feng. Stability analysis of soil slope by finite element method with plastic limit upper bound[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(11): 1867-1873. (in Chinese))
|
[9] |
杨小礼, 李 亮, 刘宝琛. 大规模优化及其在上限定理有限元中的应用[J]. 岩土工程学报, 2001, 23(5): 602-605. (YANG Xiao-li, LI Liang, LIU Bao-chen. Large-scale optimization and its application to upper bound theorem using kinematical element method[J]. Chinese Journal of Geotechnical Engineering, 2001, 23(5): 602-605. (in Chinese))
|
[10] |
杨 峰, 阳军生, 张学民. 基于线性规划模型的极限分析上限有限元的实现[J]. 岩土力学, 2011, 32(3): 914-921. (YANG Feng, YANG Jun-sheng, ZHANG Xue-min. Implementation of finite element upper bound solution of limit analysis based on linear programming model[J]. Rock and Soil Mechanics, 2011, 32(3): 914-921. (in Chinese))
|
[11] |
LYAMIN A V, SLOAN S W. Upper bound limit analysis using linear finite elements and non-linear programming[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2002, 26: 573-611.
|
[12] |
CIRIA H. Computation of upper and lower bounds in limit analysis using second-order cone programming and mesh adaptivity[D]. Cambridge: Massachusetts Institute of Rechnology, 2002.
|
[13] |
KRABBENHOFT K, LYAMIN A V, HAJIAJ M, et al. A new discontinuous upper bound limit analysis formulaiton[J]. International Journal of Numerical Methods for Engineering, 2005, 63(7): 1069-1083.
|
[14] |
MAKRODIMOPOULOS A, MARTIN C M. Upper bound limit analysis using simplex strain elements and second-order cone programming[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2007, 31(6): 835-865.
|
[15] |
CHRISTIANSEN E, EDMUND O S. Automatic mesh refinement in limit analysis[J]. International Journal for Numerical Methods in Engineering, 2001, 50(6): 1331-1346.
|
[16] |
李大钟, 郑榕明, 王金安, 等. 自适应有限元极限分析及岩土工程中的应用[J]. 岩土工程学报, 2013, 35(5): 922-929. (LI Da-zhong, ZHENG Rong-ming, WANG Jin-an, et al. Application of finite-element-based limit analysis with mesh adaptation in geotechnical engineering[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(5): 922-929. (in Chinese))
|
[17] |
BORGES L, ZOUAIN N, COSTA C, et al. An adaptive approach to limit analysis[J]. International Journal of Solids and Structures, 2001, 38(10/11/12/13): 1707-1720.
|
[18] |
LYAMIN A V, SLOAN S W, KRABBENHOFT K, et al. Lower bound limit analysis with adaptive remeshing[J]. International Journal for Numerical Methods in Engineering, 2005, 63(14): 1961-1974.
|
[19] |
CIRIA H, PERAIRE J, BONET J. Mesh adaptive computation of upper and lower bounds in limit analysis[J]. International Journal for Numerical Methods in Engineering, 2008, 75(8): 899-944.
|
[20] |
MUNOZ J J, BONET J, HUERTA A, et al. Upper and lower bounds in limit analysis: adaptive meshing strategies and discontinuous loading[J]. International Journal for Numerical Methods in Engineering, 2009, 77(4): 471-501.
|
[21] |
COHN M Z, MAIER G. Engineering plasticity by mathematical programming[M]. New York: Pergamon Press, 1979.
|
[22] |
赵明华, 张 锐, 雷 勇. 基于可行弧内点算法的上限有限单元法优化求解[J]. 岩土工程学报, 2014, 36(4): 604-611. (ZHAO Ming-hua, ZHANG Rui, LEI Yong. Optimization of upper bound finite element method based on feasible arc interior point algorithm[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(4): 604-611. (in Chinese))
|
[23] |
HERSKOVITS J, SANTOS G. Feasible arc interior point algorithm for nonlinear optimization[C]// Computational Mechanics, New Trends and Applications. Barcelona, 1998.
|
[24] |
HERSKOVITS J, MAPPA P, GOULART E, et al. Mathematical programming model and algorithms for engineering design optimization[J]. Computer Methods in Applied Mechanics and Engineering, 2005, 194(33): 3244-3268.
|
[25] |
THOMPSON J F, SONI B K, WEATHERILL N P. Hand book of Grid Generation[M]. Boca Raton London New York Washington D C: CCR Press, 1998.
|
[26] |
钱家欢, 殷宗泽. 土工原理与计算[M]. 2版. 北京: 中国水利水电出版社, 1996. (QIAN Jia-huan, YIN Zong-ze. Principles of soil engineering and calculation[M]. 2nd ed. Beijing: China Water Power Press, 1996. (in Chinese))
|
1. |
刘小锐,张晗. 盾构隧道下穿施工对严重倾斜挡墙影响及加固措施分析. 粉煤灰综合利用. 2025(01): 145-149 .
![]() | |
2. |
余鹏. 盾构隧道穿越在建PBA车站风险控制技术研究. 铁道标准设计. 2025(04): 148-156 .
![]() | |
3. |
马昭,张明礼,段旭晗,赵博. 大断面浅埋隧道地表沉降Peck修正公式及其应用. 长江科学院院报. 2024(03): 118-125 .
![]() | |
4. |
陈湘生,全昭熹,陈一凡,沈翔,苏栋. 极端环境隧道建造面临的主要问题及发展趋势. 隧道建设(中英文). 2024(03): 401-432 .
![]() | |
5. |
张子新,李小昌,李佳宇. 软土地层盾构掘进土体稳定性模型试验研究. 土木与环境工程学报(中英文). 2024(03): 41-51 .
![]() | |
6. |
刘彦良. 水下大直径盾构下穿施工对防汛大堤影响研究. 建筑机械. 2024(07): 142-146 .
![]() | |
7. |
黄震,黄侦谦,侯东祥,尤伟军,管世玉. 盾构掘进对浅基础建筑物的扰动及影响分区研究. 科技通报. 2024(07): 97-106 .
![]() | |
8. |
高泉平,杨硕,芮瑞,张泉,聂利文,孙天健. 邻近挡土结构隧道开挖引起地层变形的试验研究. 武汉理工大学学报. 2023(09): 75-82 .
![]() | |
9. |
张恒旭. 某过江隧道江心洲防洪大堤开挖对周围环境的影响分析. 工程技术研究. 2022(09): 13-17 .
![]() | |
10. |
王智德,武海港,杨文东,李杰,李根,刘奇. 地铁隧道近距离侧穿邻近桩基影响的试验研究. 武汉理工大学学报. 2022(06): 69-77 .
![]() | |
11. |
王长虹,马铖涛,吴昭欣,王昆,汤道飞. CPTU数据校准黏土和砂土统一模型本构参数的随机力学-贝叶斯方法. 土木工程学报. 2022(10): 101-116 .
![]() | |
12. |
董立波. 上软下硬复合地层中盾构下穿既有建筑物受力性能研究. 智能城市. 2021(04): 15-16 .
![]() | |
13. |
芮瑞,翟玉新,徐杨青,何清. 邻近地层损失对地下挡土结构土压力与地表沉降影响试验研究. 岩土工程学报. 2021(04): 644-652 .
![]() | |
14. |
魏勇,许强,王卓,李骅锦,李松林. 动态摄影测量在物理模型实验全过程地形数据获取中的应用. 地球科学进展. 2020(10): 1087-1098 .
![]() |