3D Upper Bound Limit Analysis for c-φ Materials

doi:10.16183/j.cnki.jsjtu.2003.12.026

Journal of Shanghai Jiao Tong University ›› 2003, Vol. 37 ›› Issue (12): 1923-1926.doi: 10.16183/j.cnki.jsjtu.2003.12.026

Special Issue: 王建华教授学报发文专辑

3D Upper Bound Limit Analysis for c-φ Materials

YANG Hong-jie¹(), SHEN Zhu-jiang², WANG Jian-hua¹, ZHANG Zhou-yun³

^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:2002-12-26 Online:2003-12-01 Published:2021-04-25

Abstract

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

CLC Number:

TU470

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 Jiao Tong University, 2003, 37(12): 1923-1926.

L/B	N_c
L/B	I	II	III	文献[4]
1	5.698	6.179	6.989	6.830
2	5.402	5.831	6.537	6.060
5	5.117	5.353	5.806	5.490
10	4.930	5.203	5.553	5.190

O/(°)	N_c
	L/B=1				L/B=2
	I	II	III	文献[4]	I	II	III	文献[4]
10	9.751	10.849	14.114	14.365	6.707	7.589	9.803	10.733
15	12.025	13.659	19.219	22.984	9.209	10.632	15.575	15.585
20	18.155	21.917	36.210	39.199	11.649	14.167	24.029	23.912
25	23.682	31.043	61.726	71.397	13.408	16.851	35.606	38.312
30	34.882	48.963	138.545	139.337	16.892	25.659	73.849	67.099

[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.

[1]	LI Zhen, XU Bingqing, LI Qingbo, YAN Xiongwei, LI Boya. Gliding Vehicle Trajectory Planning Based on Sequential Convex Optimization Algorithm [J]. Air & Space Defense, 2021, 4(4): 50-56.
[2]	JIANG Wen-ying (姜文英), LIN Yan* (林焰), CHEN Ming (陈明), YU Yan-yun (于雁云). Research on the Optimization Approach for Cargo Oil Tank Design Based on the Improved Particle Swarm Optimization Algorithm [J]. Journal of shanghai Jiaotong University (Science), 2015, 20(5): 565-570.
[3]	TANG Lei1,XIE Xinlian1，WANG Chenwu2. Model of Tramp Ship Scheduling with Variable Speed Based on Set Partition Approach [J]. Journal of Shanghai Jiaotong University, 2013, 47(06): 909-915.
[4]	ZHANG Bao-ji (张宝吉). Shape Optimization of Bow Bulbs with Minimum Wave-Making Resistance Based on Rankine Source Method [J]. Journal of shanghai Jiaotong University (Science), 2012, 17(1): 65-069.
[5]	ZHANG Bao- Ji. Optimization Design of Hull Lines Based on Hybrid Optimization Algorithm [J]. Journal of Shanghai Jiaotong University, 2012, 46(08): 1238-1242.
[6]	XIE Liang-1, JIANG Xiao-Dong-2, LI Shao-Hua-1. Hybrid Corrector Interior Point Method for Optimal Power Flow [J]. Journal of Shanghai Jiaotong University, 2011, 45(06): 804-808.
[7]	ZHANG Baoji1，MA Kun2 . Optimization Design of Hull Lines Based on Rankine Source Method [J]. Journal of Shanghai Jiaotong University, 2010, 44(10): 1414-1417.

3D Upper Bound Limit Analysis for c-φ Materials

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 4

References 5

Related Articles 7

Recommended Articles

Metrics

Comments