Bearing characteristics of corroded drain tank culvert based on manifold method
WU Jie1, HU Xiang1, LI Tao2*
1. School of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300401, China; 2. Hubei Provincial Communications Planning and Design Institute Co., Ltd., Wuhan 430050, Hubei, China
Abstract: Based on the corrosion-damaged sewage trunk line in the southern area of Shanghai as the background, cracks in the sewage trunk line were simulated by NMM together with a newly developed SIF extraction method. The crack initiation, crack propagation process and load-bearing characteristics were simulated by fracture mechanics.The calculated displacement and stress results were in good agreement with theoretical experience and physical test results. The influence of the crack initiation length on the load-deflection curve was analyzed. Considering the random factors in the physical test, the load-deflection curve obtained by the numerical analysis agreed well with the physical test curve. After the crack occurs, the discontinuity of the displacement field on both sides of the crack was obvious. After the crack across the top steel bar, the restraint effect of the steel bar on the discontinuous displacement field and the further crack propagation was demonstrated. The analysis results showed that the manifold element had good applicability to the simulation of reinforced concrete.
武杰, 胡响, 李涛. 基于流形元的排水箱涵承载特性研究[J]. 隧道与地下工程灾害防治, 2021, 3(3): 50-58.
WU Jie, HU Xiang, LI Tao. Bearing characteristics of corroded drain tank culvert based on manifold method. Hazard Control in Tunnelling and Underground Engineering, 2021, 3(3): 50-58.
杨雨冰,周彪,谢雄耀. 邻近基坑施工作用下盾构隧道横向变形及开裂特性研究[J]. 岩石力学与工程学报, 2016,35(增刊2): 4082-4093. YANG Yubing, ZHOU Biao, XIE Xiongyao. Study on transverse deformation and cracking property of shield-driven tunnel induced by adjacent excavation[J]. Chinese Journal of Rock Mechanics and Engineering, 2016, 35(Suppl.2): 4082-4093.
[2]
王建秀,朱合华,唐益群, 等. 连拱隧道裂缝运动的监测与分析[J]. 土木工程学报, 2007,40(5): 69-73. WANG Jianxiu, ZHU Hehua, TANG Yiqun, et al. Monitoring and analysis for movement of cracks of twin-arch tunnel[J]. China Civil Engineering Journal, 2007, 40(5): 69-73.
[3]
王建秀,朱合华,唐益群,等. 双连拱公路隧道裂缝成因及防治措施[J]. 岩石力学与工程学报, 2005,24(2): 195-202. WANG Jianxiu, ZHU Hehua, TANG Yiqun, et al. Cracking in twin-arc highway tunnels and its prevention measures[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(2): 195-202.
[4]
王华牢,刘学增,李宁,等. 纵向裂缝隧道衬砌结构的安全评价与加固研究[J]. 岩石力学与工程学报, 2010,29(增刊1),: 2651-2656. WANG Hualao, LIU Xuezeng, LI Ning, et al. Safety evaluation of tunnel lining with longitudinal cracks and reinforcement design[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(Suppl.1): 2651-2656.
[5]
刘学增,张鹏,周敏. 纵向裂缝对隧道衬砌承载力的影响分析[J]. 岩石力学与工程学报, 2012,31(10): 2096-2102. LIU Xuezeng, ZHANG Peng, ZHOU Min. Analysis of effect of longitudinal cracks on bearing capacity of tunnel lining[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(10): 2096-2102.
[6]
周宗青, 李利平, 石少帅, 等. 隧道突涌水机制与渗透破坏灾变过程模拟研究[J]. 岩土力学, 2020,41(11): 3621-3631. ZHOU Zongqing, LI Liping, SHI Shaoshuai, et al. Study on tunnel water inrush mechanism and simulation of seepage failure process[J]. Rock and Soil Mechanics, 2020, 41(11): 3621-3631.
[7]
徐世烺. 混凝土断裂力学[M]. 北京: 科学出版社, 2011.
[8]
GOODMAN R E, TAYLOR R L, BREKKE T L. A model for the mechanics of jointed rock[J]. Journal of the Soil Mechanics and Foundations Division, 1968, 94(3): 637-659.
[9]
KRONGAUZ Y, BELYTSCHKO T. EFG approximation with discontinuous derivatives[J]. International Journal for Numerical Methods in Engineering, 1998, 41(7): 1215-1233.
[10]
ATLURI S N, ZHU T. A new Meshless Local Petrov-Galerkin(MLPG)approach in computational mechanics[J]. Computational Mechanics, 1998, 22(2): 117-127.
[11]
BOBINSKI J, TEJCHMAN J. A coupled constitutive model for fracture in plain concrete based on continuum theory with non-local softening and Extended Finite Element Method[J]. Finite Elements in Analysis and Design, 2016, 114: 1-21.
[12]
EFTEKHARI M, HATEFI ARDAKANI S, MOHAMMADI S. An XFEM multiscale approach for fracture analysis of carbon nanotube reinforced concrete[J]. Theoretical and Applied Fracture Mechanics, 2014, 72: 64-75.
[13]
SHI G H. Manifold method of material analysis[R]. Minneapolis,US:9th Army Conf. Applied Mathematics and Computing, 1991.
[14]
SHI G H. Numerical Manifold Method[R]. Taiwan, China: the First Int. Conf. Analysis of Discontinuous Deformation(ICADD-1),1995.
[15]
TRÄDEGÅRD A, NILSSON F, ÖSTLUND S. FEM-remeshing technique applied to crack growth problems[J]. Computer Methods in Applied Mechanics and Engineering, 1998, 160(1/2): 115-131.
[16]
STROUBOULIS T, BABUSKA I, COPPS K. The design and analysis of the Generalized Finite Element Method[J]. Computer Methods in Applied Mechanics and Engineering, 2000, 181(1/2/3): 43-69.
[17]
FRIES T P, BELYTSCHKO T. The extended/generalized finite element method: an overview of the method and its applications[J]. International Journal for Numerical Methods in Engineering, 2010, 84(3): 253-304.
[18]
ZHENG H, XU D D. New strategies for some issues of numerical manifold method in simulation of crack propagation[J]. International Journal for Numerical Methods in Engineering, 2014, 97(13): 986-1010.
[19]
YANG Y T, TANG X H, ZHENG H, et al. Three-dimensional fracture propagation with numerical manifold method[J]. Engineering Analysis With Boundary Elements, 2016, 72: 65-77.
[20]
WU J, WANG Y X, CAI Y C, et al. Direct extraction of stress intensity factors for geometrically elaborate cracks using a high-order numerical manifold method[J]. Engineering Fracture Mechanics, 2020, 230: 106963.
[21]
冯东阳, 周骅, 余凯华, 等. 受腐蚀超大排水箱涵安全评估与力学性能研究[J]. 建筑技术, 2017,48(4): 364-367. FENG Dongyang, ZHOU Hua, YU Kaihua, et al. Safety assessment and mechanical property study of corroded large-span drainage culvert[J]. Architecture Technology, 2017, 48(4): 364-367.
[22]
BAO Y Q, FENG D Y, MA N, et al. Experimental and numerical study on structural performance of reinforced concrete box sewer with localized extreme defect[J]. Underground Space, 2018, 3(2): 166-179.
Comite Euro-International du Beton. CEB-FIP model code 1990:design code[S]. London, UK:T. Telford, 1993.
[25]
WALSH P F. Crack initiation in plain concrete[J]. Magazine of Concrete Research, 1976, 28(94): 37-41.
[26]
BELYTSCHKO T, GRACIE R, VENTURA G. A review of extended/generalized finite element methods for material modeling[J]. Modelling and Simulation in Materials Science and Engineering, 2009, 17(4): 043001.
[27]
郭历伦,陈忠富,罗景润,等. 扩展有限元方法及应用综述[J]. 力学季刊, 2011,32(4): 612-625. GUO Lilun, CHEN Zhongfu, LUO Jingrun, et al. A review of the extended finite element method and its applications[J]. Chinese Quarterly of Mechanics, 2011, 32(4): 612-625.
[28]
蔡永昌,朱合华,李晓军. 一种用于锚杆支护数值模拟的单元处理方法[J]. 岩石力学与工程学报, 2003, 22(7): 1137-1140. CAI Yongchang, ZHU Hehua, LI Xiaojun. New element form in the numerical simulation of bolt-reinforced structure[J]. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(7): 1137-1140.
2021, Vol. 3 
