近半个世纪以来, 有限元方法作为一种有效的数值计算手段已经广为认可, 但关于有限元的作用总是存在争议, 对有限元的计算结果也常常存有疑虑。对有限元在加筋土结构设计中的应用进行探讨, 介绍了加筋土计算中常用的筋土接触面处理方法。以有限元在加筋高边坡设计、基坑位移分析中的作用为例, 论述了其应用的必要性, 从专业教育、商业软件和社会认识发展等方面探讨了有限元应用的可行性, 也对有限元应用中应当注意的问题提出了建议。
Abstract
The finite element method (FEM) has been widely recognized as an effective means of numerical simulation for nearly half a century. However, there was always controversy over the role of FEM and doubts about the results of finite element calculation. In this paper, application of the finite element method in reinforced soil structure was investigated, and the commonly used simulation methods for the interface between soil and reinforcement were presented. The necessity of using FEM was demonstrated in the design of high reinforced soil slope and the analysis of foundation pit displacement. The feasibility of its application was also discussed in terms of professional education, commercial software development and social awareness. Suggestions on the application of FEM are also presented.
关键词
有限元 /
加筋土 /
高边坡 /
应力应变 /
强度折减法
Key words
finite element method (FEM) /
reinforced soil /
high soil slope /
stress-strain /
strength reduction method
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参考文献
[1] WU J T H. Predicting Performance of the Denver Walls: General Report[C]∥Proceedings of the International Symposium on Geosynthetic-Reinforced Soil Retaining Walls. Netherlands: Balkema Rotterdam, August 8-9, 1991: 3-20.
[2] WU J T H. Construction and Instrumentation of the Denver Walls[C]∥Proceedings of the International Symposium on Geosynthetic-Reinforced Soil Retaining Walls. Netherlands: Balkema Rotterdam, August 8-9, 1991: 21-30.
[3] WU J T H. Measured Behavior of the Denver Walls[C]∥Proceedings of the International Symposium on Geosynthetic-Reinforced Soil Retaining Walls. Netherlands: Balkema Rotterdam, August 8-9, 1991: 31-42.
[4] 王勖成. 有限单元法[M].北京:清华大学出版社, 2003. (WANG Xu-cheng. The Finite Element Method[M]. Beijing: Tsinghua University Press, 2003. (in Chinese))
[5] 龚晓南. 土工计算机分析[M].北京:中国建筑工业出版社, 2000. (GONG Xiao-nan. Analysis Using Computer in Geotechnical Engineering[M]. Beijing: China Architecture & Building Press, 2000. (in Chinese))
[6] CLOUGH G W, DUNCAN J M. Finite Element Analysis of Retaining Wall Behavior[J]. Journal of Soil Mechanic and Foundation Division, 1971, 97(12): 1657-1673.
[7] NGO D, SCORDELIS A C. Finite Element Analysis of Reinforced Concrete Beam[J]. ACI Journal, 1967, 64(3): 152-163.
[8] SUIDAN M, SCHNOBRICH W C. Finite Element Analysis of Reinforced Concrete[J]. Journal of the Structural Division, ASCE, 1973, 99(10): 2109-2122.
[9] HAND F R, PECKNOLD D A, SCHNOBRICH W C. Nonlinear Layered Analysis of RC Plates and Shells[J]. Journal of the Structural Division, ASCE, 1973, 99(7): 1491-1505.
[10]张远高.钢筋混凝土结构的本构关系及有限元模式 [D].北京:清华大学, 1990. (ZHANG Yuan-gao. Constitutive Relationship and Finite Element Modelling of Reinforced Concrete [D]. Beijing: Tsinghua University, 1990. (in Chinese))
[11]杜太生. 钢筋混凝土单元及其离散变量优化设计研究 [D].武汉:华中科技大学, 2004. (DU Tai-sheng. Study on Element Technique of the RC Structures and the Optimal Design of Discrete Variables[D]. Wuhan: Huazhong University of Science and Technology, 2004.(in Chinese))
[12]介玉新. 加筋土不同计算方法之间的关系[J].岩土力学, 2011, 32(增1): 43-48.(JIE Yu-xin. Relationship Between Different Methods for Reinforced Soil [J]. Rock and Soil Mechanics, 2011, 32(Sup.1): 43-48. (in Chinese))
[13]林新志.考虑粘结滑移的组合式单元模型研究与应用 [D].南京:河海大学, 2005. (LIN Xin-zhi. Study and Application on the Combined Element Model Considering the Bond-slip [D]. Nanjing: Hohai University, 2005. (in Chinese))
[14]汪基伟, 张雄文, 林新志.考虑粘结滑移的平面组合式单元模型研究与应用[J].工程力学. 2008, 25(1):97-102. (WANG Ji-wei, ZHANG Xiong-wen, LIN Xin-zhi. Research and Applications of a Plane Embedded Combined Element Model Considering Bond and Slip [J]. Engineering Mechanics, 2008, 25(1):97-102. (in Chinese))
[15]王家林.非节点连接有限元理论及其软件实现[D].重庆:重庆大学, 2008.(WANG Jia-lin. Theory of Non-nodal Finite Element Methods and Its Realization in Software [D]. Chongqing: Chongqing University, 2008. (in Chinese))
[16]介玉新, 李广信.加筋土数值计算的等效附加应力法[J].岩土工程学报, 1999, 21(5):614-616. (JIE Yu-xin, LI Guang-xin. Equivalent Additional Stress Method for Numerical Analysis of Reinforced Soil [J]. Chinese Journal of Geotechnical Engineering, 1999, 21(5): 614-616. (in Chinese))
[17]介玉新, 王乃东, 李广信.加筋土计算中等效附加应力法的改进[J]. 岩土力学, 2007, 28(增):129-132. (JIE Yu-xin, WANG Nai-dong, LI Guang-xin. Modified Equivalent Additional Stress Method for Numerical Analysis of Reinforced Soil [J]. Rock and Soil Mechanics, 2007, 28(Sup.): 129-132. (in Chinese))
[18]介玉新, 秦晓艳, 金 鑫, 等. 加筋高边坡的稳定分析[J]. 岩土工程学报, 2012, 34(4): 660-666. (JIE Yu-xin, QIN Xiao-yan, JIN Xin, et al. Stability Analysis on High Reinforced Soil Slopes [J]. Chinese Journal of Geotechnical Engineering, 2012, 34(4): 660-666. (in Chinese))
[19]介玉新, 傅志斌, 刘立珍. 基坑位移分析与预测[J]. 水力发电学报, 2013, 32(1): 223-229. (JIE Yu-xin, FU Zhi-bin, LIU Li-zhen. Analysis and Prediction on Displacement of Foundation Pit [J]. Journal of Hydroelectric Engineering, 2013, 32(1): 223-229. (in Chinese))
[20]郑颖人, 赵尚毅, 宋雅坤. 有限元强度折减法研究进展[J]. 后勤工程学院学报, 2005, (3): 1-6. (ZHENG Ying-ren, ZHAO Shang-yi, SONG Ya-kun. Advance of Study on the Strength Reduction Finite Element Method [J]. Journal of Logistical Engineering University, 2005, (3): 1-6. (in Chinese))
[21]葛修润. 岩石疲劳破坏的变形控制律、岩土力学试验的实时X射线CT扫描和边坡坝基抗滑稳定分析的新方法[J]. 岩土工程学报, 2008, 30(1): 1-20. (GE Xiu-run. Deformation Control Law of Rock Fatigue Failure, Real-time X-ray CT Scan of Geotechnical Testing, and New Method of Stability Analysis of Slopes and Dam Foundations[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(1): 1-20. (in Chinese))
基金
国家自然科学基金项目(51279085);重点基础研究发展计划(973)项目(2013CB036402);水沙科学与水利水电工程国家重点实验室基金资助项目(2013KY4)