Slope Stability Analysis Based on the Element-Free Galerkin Method

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In this paper, element-free Galerkin method was used to solve problems about the evaluation of slope stability. Based on the basic principle of element-free Galerkin method, a matlab program was compiled. In the program, moving least squares method was used to construct the displacement function. And the integration scheme of four Gauss integration point background grid was used to integrate. What’s more, Lagrange multiplier method was used to apply the displacement boundary conditions. When evaluating the stability of slope, the main indices which influence slope stability were determined and the analytic hierarchy process was used to determine the weight of the indices. Then the data of slope was input into the element-free Galerkin method program. By changing the data of the main indices, we can get the change value of the nodal displacement. So we can get the final weight of the indices based on the discussing of the element-free Galerkin method and the analytic hierarchy process. Finally, fuzzy comprehensive evaluation model was built. What’s more, we chose a slope in Changji expressway to be evaluated. The data of the slope was input into the program of fuzzy comprehensive evaluation model, and the result is basically stable which coincides with actual situation.

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Edited by:

Chunliang Zhang and Paul P. Lin

Pages:

1449-1452

Citation:

F. H. Qin and L. B. Wang, "Slope Stability Analysis Based on the Element-Free Galerkin Method", Applied Mechanics and Materials, Vols. 226-228, pp. 1449-1452, 2012

Online since:

November 2012

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$38.00

[1] Belytschko T, Lu Y Y and Gu L. Element free Galerkin methods. Int. J. Num. Meth. Engng., Vol. 37(1994), p.229.

[2] Fleming M, Chu Y A and Moran B, et al. Enriched element-free Galerkin methods for crack tips fields, Int. J. Numer. Methods Engrg., Vol. 40(1997), p.1483.

DOI: https://doi.org/10.1002/(sici)1097-0207(19970430)40:8<1483::aid-nme123>3.0.co;2-6

[3] Krysl P, Belytschko T. The element-free Galerkin method for dynamic propagation of arbitrary 3-D cracks. Int. J. Numer. Methods Engng., Vol. 44(1999), p.767.

DOI: https://doi.org/10.1002/(sici)1097-0207(19990228)44:6<767::aid-nme524>3.0.co;2-g

[4] Belytschko T, Organ D and Krongauz Y. A Coupled finite element-free Galerkin method. Comput. Mech., Vol. 17(1995), p.186.

DOI: https://doi.org/10.1007/s004660050102

[5] Hegen D. Element-free Galerkin methods in combination with finite element approaches. Comput. Methods Appl. Mech. Engrg., Vol. 135(1996), p.143.

DOI: https://doi.org/10.1016/0045-7825(96)00994-2

[6] Xiong Zhang, Mingwan Lu and Wegner J L. A 2-D meshless model for jointed rock structures. Int. J. Num. Meth. Engng., Vol. 47(2000), No. 10, p.1649. (In Chinese).

DOI: https://doi.org/10.1002/(sici)1097-0207(20000410)47:10<1649::aid-nme843>3.0.co;2-s

[7] Zuohui Pang, Xiurun Ge and Hong Zheng. A new numerical method element-free Galerkin method (EFGM). the journal of Computational Mechanics., Vol. 16(1999), No. 3, p.320. (In Chinese).

[8] Jian Chen, Linzhi Wu and Shangyi Du., Evaluating SIF of Functionally Graded Plate With an Edge Crack by Element-free Method. Engineering Mechanics., 17(2000), No. 5, p.139. (In Chinese).

[9] Jie Liu, Jianlin Li. The Analysis on the Fuzzy Evaluation Method of Rock Slope Stability Based on the Finite Element Method. Chinese Journal of Rock Mechanics and Engineering., Vol. 26(2007), No. 1, p.3438. (In Chinese).

[10] Huafeng Deng, Jianlin Li and Jianwen Huang. Sensitivity Analysis of Some Parameters That Affected the Stability of Unloading Rock Mass Slope. Journal of Three Gorges University., Vol. 26(2004), No. 6, p.517. (In Chinese).

[11] Yonghui Zhang, Hongxu Li. Study on Highway Slope Rock Mass Rating Based on the Fuzzy Comprehensive Evaluation. Rock and Soil Mechanics., Vol. 31(2010), No. 10, p.3151. (In Chinese).