3D Upper Bound Limit Analysis for c-φ Materials

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  • 1.Dept. of Civil Eng. , Shanghai Jiaotong Univ. , Shanghai 200240, China
    2.Dept. of Hydraulic and Hydroelectric Eng. , Tsinghua Univ. , Beijing 100084
    3.Laizhou Water Conservancy Bureau of Shandong, Laizhou 261400

Received date: 2002-12-26

  Online published: 2021-04-25

Abstract

This article described a method for upper bound analysis. The whole process is based on nonlinear programming and linear finite elements. By solving a non-linear optimization problem, i. e., searching the minimum value of power dissipated by external forces, the upper bound loads can be obtained. The numerical examples suggest that this method is correct and practicable. It can obtain the upper bound limit load directly without considering the complicated stress strain relationship of c-O materials in traditional finite element method.

Cite this article

YANG Hong-jie, SHEN Zhu-jiang, WANG Jian-hua, ZHANG Zhou-yun . 3D Upper Bound Limit Analysis for c-φ Materials[J]. Journal of Shanghai Jiaotong University, 2003 , 37(12) : 1923 -1926 . DOI: 10.16183/j.cnki.jsjtu.2003.12.026

References

[1] Michalowski R L. An estimate of the influence of soil weight on bearing capacity using limit analysis[J]. Soils and Foundations, 1997, 37(4): 57-68.
[2] Soubra A H. Upper bound solution for bearing capacity of foundations[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1999, 125(1): 59-68.
[3] Zheng X. Limit analysis of the bearing capacity of fissured materials[J]. International Journal of Solids and Structures, 2000, 37(8): 1211-1243.
[4] Michalowski R L. Upper bound load estimates on square and rectangular footings[J]. Geotechnique, 2001, 51(9): 787-798.
[5] Sloan S W. Upper bound limit analysis using linear finite elements and nonlinear programming[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2002, 26(2): 181-216.
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