上海交通大学学报

上海交通大学学报 >

2003 , Vol. 37 >Issue 12: 1923 - 1926

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2003.12.026

c-O材料的三维上限分析

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  • 1.上海交通大学土木工程系，上海 　200240
    2.清华大学水利水电工程系，北京 　100084
    3.山东省莱州市水利局，莱州 　261400
杨洪杰（1972-)，男，山东临沂人，博士生，主要研究方向为土力学中的极限分析．电话（Tel.): 021-54740760; E-mail: dr_yang@sjtu.edu.cn.

收稿日期: 2002-12-26

  网络出版日期: 2021-04-25

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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

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摘要

提出用上限法对c-O材料进行三维极限分析的原理和方法．分析过程基于非线性规划和线性有限元法，通过求解一个非线性规划问题，使外荷载消耗的功率最小，求得结构的极限荷载．算例分析表明，该方法是正确可行的．它避开了传统的有限元法中c-O材料复杂的本构关系，直接得到结构的极限荷载的上限．

关键词： 上限分析; 非线性规划; c-O材料

本文引用格式

杨洪杰, 沈珠江, 王建华, 张宙云 . c-O材料的三维上限分析[J]. 上海交通大学学报, 2003 , 37(12) : 1923 -1926 . DOI: 10.16183/j.cnki.jsjtu.2003.12.026

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.

Key words： upper bound analysis; nonlinear programming; c-O materials

参考文献

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[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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