The Research and Application on the Efficient and Local Accuracy Decrease Algorithm in Underground Engineering

Abstract:

This paper studies the basic principles of finite element method, then researches on the core algorithm of finite element method, according to Saint-Venant principle, introduce the concept of composite element, proves that if the element is composite element, the original integration is still able to calculate. Based on the feature that numerical integration solution is in fact the Gaussian integration points are calculated, we endow element internal with different material property values according to the different location artificially. This is the efficient and local accuracy decrease algorithm. The algorithm is able to simplify the work of mesh generation, improve the overall computing efficiency, is especially suitable for underground engineering, and we can quickly get the overall characteristics of the structure that we are most concerned about. Finally, builds the actual examples of underground engineering, uses the finite element software Ansys and the efficient and local accuracy decrease algorithm program to calculate the actual examples respectively, compares the results between them, expounds and set the analysis theory and relevant principles, makes conclusion: the efficient and local accuracy decrease algorithm can simplify mesh generation, improve the overall computing efficiency; and it can be used in underground engineering very well.

• Periodical: Applied Mechanics and Materials (Volumes 105-107)
• Pages: 1358-1366
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.105-107.1358
• Online since: September 2011
• Authors: Wei Feng Wang, Jing Bin Ye, Sai Ying Shi, Qing Zhong Chen
• Keywords: Composite Element, Efficient Decrease Accuracy Algorithm, Gaussian Integration Point, Local Decrease Accuracy Algorithm, Mesh Generation, Underground Engineering

References

[1] Lei Xiaoyan: Geotechnical Numerical(China Railway Publishing House , Beijing 1999) (In Chinese)

[2] Shao Jianguo, Wang Weiguo, Su Jingbo: Underground Excavation Generalized Finite Element Method Calculation, Chinese Journal of Rock Mechanics and Engineering, 2004,23(10):1 694–1 699. (In Chinese)

[3] Tang Xuejun, Wang Jianhua, Kou Xinjin, Etc.: Adaptive Nonlinear Finite Element Method to Solve The Multi-grid and Application, Rock and Soil Mechanics,2000,21(2):102–107. (In Chinese)

[4] Tan Zhuoyiing, Wang Xijing, Cai Meifeng: Geotechnical Engineering in The Strata Interface Identification Method of Discriminant Classification, Chinese Journal of Rock Mechanics and Engineering,2008, 27(2): 316–322. (In Chinese)

[5] Ni Shaohu, Xiao Ming: Underground Seepage Drainage Holes Implicit Numerical Simulation of Composite Element Method, Rock and Soil Mechanics, 2008,29(6): 1 659–1 664. (In Chinese)

[6] Zhu Bofang: The Finite Element Method Theory and Applications(China Water Power Press and Intellectual Property Publishing House,Beijing 2009) (In Chinese)

[7] Wei Gang: Prediction of Ground Deformation Induced By Shield Tunneling Construction. Chinese Journal of Rock Mechanics and Engineering, 2009,28(2):418–424. (In Chinese)

[8] Wang Xuncheng: The Finite Element Method(Tsinghua University Press, Beijing 2003) (In Chinese)

[9] Zheng Xianyi: Calculation(South China University of Technology Press, Guangzhou 2003) (In Chinese)

[10] Gao Hong, Zheng Yingren, Zheng Lushi: Elastic Mechanical Model and Computation Method of Geomaterials, Chinese Journal of Rock Mechanics and Engineering, 2008, 27(9):1 845–1 851. (In Chinese)

[11] Xu Zhilun: Concise Guide to Elasticity(Higher Education Press,Beijing 2004) (In Chinese)

[12] Deng Jianxia. Augmented Gauss Points Method for Steady-State Seepage Analysis with Free Surface. Sichuan University, 2004, (5): 37–40. (In Chinese)

[13] Zheng Chao, Zhang Jianhai: SSOR-PCG Method Used In Simulation of Geotechnical Engineering With Finite Element Method, Chinese Journal of Rock Mechanics and Engineering 2007, 26(Supplement 1): 2 820–2 826. (In Chinese)

[14] Liu Yaoru, Zhou Weiheng, Yang Qian, Etc.: PARALLEL 3D FINITE ELEMENT ANALYSIS AND ITS APPLICATION TO HYDRAULIC ENGINEERING. Chinese Journal of Rock Mechanics and Engineering. 2005, 24(14): 2 434–2 838. (In Chinese)

[15] Qiang Qinghui, Zhou Chuangbing: Research On Mesostructure Dynamic Damage Characteristics of Expansive Red Sandstone With Digital Image Processing Technique. Chinese Journal of Rock Mechanics and Engineering. 2005, 24(14): 2 434–2 838. (In Chinese)

[16] Lu Xiaomin, Ren Qingwen: Based On Finite Element Method With The Block Element Deformation And Stability Analysis of Underground Cavern. Engineering Mechanics. 2001, 18(4): 60–66. (In Chinese)