全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
工程力学  2013 

下限问题中基于四边形单元平衡方程的边界积分法

DOI: 10.6052/j.issn.1000-4750.2012.04.0279, PP. 127-132

Keywords: 下限分析,四边形单元,边界积分,高斯积分,应力连续条件

Full-Text   Cite this paper   Add to My Lib

Abstract:

相对于三角形单元的下限分析,基于四边形单元的下限分析具有更高的精度和求解效率。该文利用格林公式把平衡方程的弱形式化为边界积分,从而得到简洁的线性方程,取代了以往的数值积分方案,克服了高斯积分中坐标变换等复杂的求解过程。此外还对应力连续性方程进行了简化。该积分方案不仅大大简化了计算,而且更易于编程实现。算例表明该文方法具有较高的精度。

References

[1]  殷建华,陈健,李焯芬. 岩土边坡稳定性的刚体有限元上限分析法[J]. (岩石力学与工程学报), 2004, 23(6): 898―905.Yin Jianhua,Chen Jian,Lee C F. Upper limit analysis of stability of rock and soil slopes using rigid finite elements [J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(6): 898―905. (in Chinese)
[2]  杨洪杰,葛修润,王建华,等. 序列二次规划(SQP)算法在三维下限分析中的应用[J]. (上海交通大学学报), 2004, 38(6): 992―995.Yang Hongjie,Ge Xiurun,Wang Jianhua,et al. Application of SQP algorithm in 3D lower sequential quadratic programming limit analysis [J]. Journal of Shanghai Jiaotong University, 2004, 38(6): 992―995. (in Chinese)
[3]  黄齐武,黄茂松,王贵和. 基于下限有限元法的条形浅基础极限承载力分析[J]. (岩土工程学报), 2007, 29(4): 572―579.Huang Qiwu,Huang Maosong,Wang Guihe. Calculation of bearing capacity of strip footings using lower bound limit method [J]. Chinese Journal of Geotechnical Engineering, 2007, 29(4): 572―579. (in Chinese)
[4]  陈炜,王均星. 节理岩质边坡的块体元塑性极限分析下限法[J]. (岩土工程学报), 2008, 30(2): 272―277.Chen Wei,Wang Junxing. Plastic lower bound limit analysis using block element method for jointed rock slope [J]. Chinese Journal of Geotechnical Engineering, 2008, 30(2): 272―277. (in Chinese)
[5]  杨小礼. 岩石极限分析非线性理论及其应用[J]. (中南大学学报(自然科学版)), 2009, 40(1): 225―229.Yang Xiaoli. Limit analysis with nonlinear criterion in rock masses and its applications [J]. Journal of Central South University (Science and Technology), 2009, 40(1): 225―229. (in Chinese)
[6]  李春光,朱宇飞,刘丰,等. 基于四边形网格的下限原理有限元法[J]. (岩石力学与工程学报), 2012, 31(3): 461―468.Li Chunguang,Zhu Yufei,Liu Feng,et al. Lower bound limit analysis by quadrilateral finite element method [J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(3): 461―468. (in Chinese)
[7]  Zhang X F,Liu Y H,Cen Z Z. Boundary element methods for lower bound limit and shakedown analysis [J]. Engineering Analysis with Boundary Elements, 2004, 28(8): 905―917.
[8]  Chen S S,Liu Y H,Cen Z Z. Lower-bound limit analysis by using the EFG method and non-linear programming [J]. International Journal for Numerical Methods in Engineering, 2008, 74(3): 391―415.
[9]  郑宏,李春光,李焯芬,等. 求解安全系数的有限元法[J]. (岩土工程学报), 2002, 24(5): 626―628.Zheng Hong,Li Chunguang,Lee C F,et al. Finite element method for solving the factor of safety [J]. Chinese Journal of Geotechnical Engineering, 2002, 24(5): 626―628. (in Chinese)
[10]  Drucker D C,Greenberg H J,Prager W. The safety factor of an elastic-plastic body in plane strain [J]. Journal of Applied Mechanics-Transactions of the ASME, 1951, 18(4): 371―378.
[11]  Chen W F. Soil mechanics and theorems of limit analysis [J]. Journal of Soil Mechanics & Foundations Div, 1969: 493―518.
[12]  Lysmer J. Limit analysis of plane problems in soil mechanics [J]. Journal of Soil Mechanics & Foundations Div, 1970: 1311―1334.
[13]  Sloan S W. lower bound limit analysis using finite-elements and linear-programming [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1988, 12(1): 61―77.
[14]  李国英,沈珠江. 下限原理有限单元法及其在土工问题中的应用[J]. (岩土工程学报), 1997, 19(5): 84―89.Li Guoying,Shen Zhujiang. Lower limit analysis using finite elements and its application to geotechnical problems [J]. Chinese Journal of Geotechnical Engineering, 1997, 19(5): 84―89. (in Chinese)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133