Calculation of prestressed anchor segment by 3D infinite element

Abstract

Based on 1D infinite element theory, the coordinate transformation and shape function of 3D point-radiation 4-node infinite elements were derived. They were coupled with 8-node finite elements to compute the compressive deformation of the prestressed anchor segment. The results indicate that when the prestressed force acts on the anchor segment, the stresses and displacements in the rock around the anchor segment are concentrated in the zone center with the anchor axis and are subjected to exponential decay. Therefore, the stresses and the displacement spindles are formed. The calculation results of the infinite element are close to the theoretical results.

Keywords

infinite element / prestressed anchor / couple / finite element

References

[1] Zhang Jinhua, Fu Lixin. 3D infinite element computing modal for highway tunnels. Central South Highway Engineering, 2005, 30(1): 21-24 (in Chinese)

[2] Xiong Hui, He Yibin, Zou Yinsheng. A mapping infinite element with spatial whole matched type. Journal of Hunan University (Natural Science), 2005, 32(6): 51-56 (in Chinese)

[3] Bettess P. More on infinite element. International Journal for Numerical Methods in Engineering, 1980, 15(11): 1613-1626

[4] Beer G, Meek J L. Infinite domain element. International Journal for Numerical Methods in Engineering, 1981, 17(1): 43-52

[5] Zienkiewicz O C, Emoson C, Bettess P A. A novel boundary infinite element. International Journal for Numerical Methods in Engineering, 1983, 19(3): 393-404

[6] Lu Bo, Xiong Feng. Finite/infinite element coupling method for analysis on the interaction of soil-foundation system. Sichuan Building Science, 2006, 32(6): 116-120 (in Chinese)

[7] Wang Houyu, Zhu Keshan, Yan Zzhixin. Three dimensional 2-direction & 3-direction mapped infinite elements. Engineering Mechanics, 2006, 19(3): 95-98 (in Chinese)

[8] Zhou Shiliang, Hu Xiao, Wang Jiang. The application of infinite element in numerical analysis of geotechnical engineering. Journal of Chongqing Jiaotong University, 2004, 23(12): 61-64 (in Chinese)

[9] Zhang Aijun, Xie Dingyi. 3D Numerical Analysis of Composite Subgrade. Beijing: Science Press, 2004 (in Chinese)

[10] Wang Yanfen, Shen Qian, Wang Yuanhan. Stress distribution in rock mass around pull-type cable anchorage segment. Rock and Soil Mechanics, 2006, 27(Suppl): 948-951 (in Chinese)

Rights & permissions

Higher Education Press and Springer-Verlag Berlin Heidelberg