裂面优化法在岩土及隧道工程中的应用研究

Hazard Control in Tunnelling and Underground Engineering

2019, Vol. 1

Issue (4): 49-55 DOI:

Current Issue | Archive | Adv Search

Applications and researches of discontinuity layout optimization method in geotechnical and tunneling engineering

ZHANG Yiming, GAO Zhiran

School of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300401, China

Abstract
Figure/Table
References
Related Citation (1)

Download:

PDF (8348KB)
Export: BibTeX | EndNote (RIS)

Abstract The discontinuity layout optimization is a novel numerical method for upper bound limit analyses, proposed in 2007. It is widely used in analyzing the limit load and stability of geotechnical and plate/shell-like structures. In this method, a large number of nodes are introduced into the domain, the lines(2D)and surfaces(3D)formed by the nodes are considered as potential discontinuities. Based on the minimization of dissipated energy, the target function is built. The restraints equations are generated by geometric compatibility conditions, Mohr-Coulomb flow rules, and load/work conditions. Not only the limit load/factor of safety but also the activated discontinuities and displacement jumps are obtained. The method is theoretically clear, whose pre- and post-processing is easy for implementing and its computational efficiency is very high. However, there are only a few researches and applications about this method in China. This work is the first Chinese paper introducing DLO, which presents basic concepts, engineering applications especially in geotechnical and tunneling engineering of this method in details, which will hopefully promote its further developments in China.

Key words： discontinuity layout optimization(DLO) limit analysis factor of safety stability analysis of shallow tunnel

Received: 10 December 2019 Published: 09 March 2020

ZTFLH:

U45

	Service
	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	ZHANG Yiming
	GAO Zhiran

Cite this article:

ZHANG Yiming,GAO Zhiran. Applications and researches of discontinuity layout optimization method in geotechnical and tunneling engineering[J]. Hazard Control in Tunnelling and Underground Engineering, 2019, 1(4): 49-55.

URL:

http://tunnel.sdujournals.com/EN/ OR http://tunnel.sdujournals.com/EN/Y2019/V1/I4/49

[1]	陈明祥. 弹塑性力学[M]. 北京: 科学出版社, 2019.
[2]	朱以文, 吴春秋, 蔡元奇. 基于滑移线场理论的边坡滑裂面确定方法[J]. 岩石力学与工程学报, 2005, 24(15): 2609-2616. ZHU Yiwen, WU Chunqiu, CAI Yuanqi. Determination of slip surface in slope based on theory of slip line field[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(15): 2609-2616.
[3]	陈国庆, 黄润秋, 石豫川, 等. 基于动态和整体强度折减法的边坡稳定性分析[J]. 岩石力学与工程学报, 2014, 33(2): 243-256. CHEN Guoqing, HUANG Runqiu, SHI Yuchuan, et al. Stability analysis of slope based on dynamic and whole strength reduction methods[J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(2): 243-256.
[4]	郑颖人. 岩土数值极限分析方法的发展与应用[J]. 岩石力学与工程学报, 2012, 31(7): 1297-1316. ZHENG Yingren. Development and application of numerical limit analysis for geological materials[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(7): 1297-1316.
[5]	SLOAN S W. Upper bound limit analysis using finite elements and linear programming[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1989, 13(3): 263-282.
[6]	LYAMIN A V, SLOAN S W. Upper bound limit analysis using linear finite elements and non-linear programming[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2002, 26(2): 181-216.
[7]	SMITH C, GILBERT M. Application of discontinuity layout optimization to plane plasticity problems[J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2007, 463(2086): 2461-2484.
[8]	JOHNSON W. An analogy between upper-bound solutions for plane-strain metal working and minimum-weight two-dimensional frames[J]. International Journal of Mechanical Sciences, 1961, 3(4): 239-246.
[9]	GILBERT M, TYAS A. Layout optimization of large-scale pin-jointed frames[J]. Engineering Computations, 2003, 20(8): 1044-1064.
[10]	ZHANG Y M. Multi-slicing strategy for the three-dimensional discontinuity layout optimization(3D DLO)[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2017, 41(4): 488-507.
[11]	ZHANG Y M, ZHUANG X Y, LACKNER R. Stability analysis of shotcrete supported crown of NATM tunnels with discontinuity layout optimization[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2018, 42(11): 1199-1216.
[12]	SMITH C, LI H. MATLAB script for DLO analysis of geotechnical problems[EB/OL]. [2019-12-10]. Webpage: DLO Matlab script, https://geo.shef.ac.uk/?q=software/matlab-script-dlo-analysis-geotechnical-problems- 0.
[13]	SMITH C C, GILBERT M. Identification of rotational failure mechanisms in cohesive media using discontinuity layout optimisation[J]. Géotechnique, 2013, 63(14): 1194-1208.
[14]	SMITH C C, GILBERT M. Modelling rotational failure in confined geometries using DLO[J]. Proceedings of the Institution of Civil Engineers-Engineering and Computational Mechanics, 2015, 168(4): 155-168.
[15]	GILBERT M, SMITH C C, PRITCHARD T J. Masonry arch analysis using discontinuity layout optimisation[J]. Proceedings of the Institution of Civil Engineers-Engineering and Computational Mechanics, 2010, 163(3): 155-166.
[16]	GILBERT M, HE L W, SMITH C C, et al. Automatic yield-line analysis of slabs using discontinuity layout optimization[J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014, 470(2168): 20140071.
[17]	HE L W, GILBERT M, SHEPHERD M. Automatic yield-line analysis of practical slab configurations via discontinuity layout optimization[J]. Journal of Structural Engineering, 2017, 143(7): 04017036.
[18]	HAWKSBEE S, SMITH C, GILBERT M. Application of discontinuity layout optimization to three-dimensional plasticity problems[J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2013, 469(2155): 20130009.
[19]	YAN X, SUN Z Z, LI S C, et al. Quantitatively assessing the pre-grouting effect on the stability of tunnels excavated in fault zones with discontinuity layout optimization: A case study[J]. Frontiers of Structural and Civil Engineering, 2019, 13(6): 1393-1404.
[20]	SUN Z Z, ZHANG Y M, YUAN Y, et al. Stability analysis of a fire-loaded shallow tunnel by means of a thermo-hydro-chemo-mechanical model and discontinuity layout optimization[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2019, 43(16): 2551-2564.
[21]	ZHANG Y M, ZEIML M, PICHLER C, et al. Model-based risk assessment of concrete spalling in tunnel linings under fire loading[J]. Engineering Structures, 2014, 77: 207-215.
[22]	ZHANG Y M, ZEIML M, MAIER M, et al. Fast assessing spalling risk of tunnel linings under RABT fire: from a coupled thermo-hydro-chemo-mechanical model towards an estimation method[J]. Engineering Structures, 2017, 142: 1-19.