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浙江大学学报(工学版)
浙江大学学报(工学版)
土木工程与水利工程     
双向激振液化的离散颗粒-流体耦合模拟方法
金炜枫,张力友,陈小亮,程泽海
1.浙江科技学院 土木与建筑工程学院,浙江 杭州 310023
2.浙江大学 建筑工程学院, 浙江 杭州 310058
3.浙江大学 滨海和城市岩土工程研究中心, 浙江 杭州 310023
4.杭州市市政工程集团有限公司, 浙江 杭州 310023
Study on liquefaction simulation of coupled particle-fluid assembly subject to bi-directional cyclic loading
JIN Wei feng,ZHANG Li you,CHEN Xiao liang,CHENG Ze hai
1.School of Civil Engineering and Architecture, Zhejiang University of Science and Technology, Hangzhou310023, China;
2.College of Civil Engineering and Architecture,Zhejiang University,Hongzhal 310058,China;
3.Research Center of Coastal and Urban Geotechnical Engineering,Zhejiang University, Hangzhou 310023, China;
4.Hangzhou Municipal Construction Group CO.,LTD,Hangzhou 310023, China
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摘要：

针对离散元模拟动三轴液化时难以施加围压,导致无法实现双向激振液化模拟的问题,提出引入适用的流体方程和有效的伺服围压算法实现动围压加载.针对流体方程,采用包含适用于流体边界网格移动的任意拉格朗日-欧拉描述(ALE)项和流体-颗粒耦合力项的流体方程组|针对伺服围压算法,将离散颗粒-流体伺服体系等效为弹簧-振子模型,采用的围压伺服力函数基于自动控制理论中的HJB方程得到.将流体有限元方程和伺服围压算法嵌入颗粒流软件(PFC2D),通过模拟双向动三轴液化实验,结果表明,该方法可以有效施加动围压,实现双向激振液化的离散颗粒-流体耦合模拟.
Abstract:

For particle-based simulation of liquefaction, it was difficult to apply cell pressure to the particle assembly during dynamic tri-axial test, which resulted in the unaccomplishment of liquefaction simulation under bi-directional loads.  Appropriate dynamic fluid equations and effective cell-pressure servo-control method were introduced in order to apply dynamic cell pressure. As for fluid equations,  they were based on arbitrary Lagrangian-Eulerian description and involved coupled fluid-particle terms. As for servo-control method of cell-pressure,  the optimal feedback control function of controlling cell-pressure was obtained from the Hamilton-Jacobian-Bellman (HJB) Equation established from the spring-mass model by simulating the particle assembly and the servo wall as a spring-mass model. Then coupled fluid-particle based simulation of liquefaction under bi-directional loads during dynamic tri-axial test was realized by adding finite element fluid equations and the servo-control method to the discrete element method software particle flow code 2D (PFC2D), The method  can well apply dynamic cell pressure and accomplish coupled particle-fluid based simulation of liquefaction under bi-directional loads.
出版日期: 2016-11-01
:  TU 435  
基金资助:

 国家自然科学基金资助项目（51408547）;浙江省自然科学基金资助项目 (LQ14E080009).
作者简介: 金炜枫（1982-），男，博士，讲师，从事细观土力学等方向研究, ORCID：0000-0002-5943-9830. E-mail：jinweifenga@163.com
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金炜枫,张力友,陈小亮,程泽海. 双向激振液化的离散颗粒-流体耦合模拟方法[J]. 浙江大学学报(工学版), 10.3785/j.issn.1008-973X.2016.11.014.

JIN Wei feng,ZHANG Li you,CHEN Xiao liang,CHENG Ze hai. Study on liquefaction simulation of coupled particle-fluid assembly subject to bi-directional cyclic loading. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 10.3785/j.issn.1008-973X.2016.11.014.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2016.11.014    或    http://www.zjujournals.com/eng/CN/Y2016/V50/I11/2135

［1］ KUHN M R, RENKEN H E, MIXSELL A D, et al. Investigation of cyclic liquefaction with discrete element simulations ［J］. Journal Of Geotechnical And Geoenvironmental Engineering, 2014, 140(12):04014075．
［2］ GONG G B, ZHA X X. DEM simulation of undrained behaviour with preshearing history for saturated granular media ［J］. Modelling and Simulation in Materials Science and Engnieering, 2013, 21(2): 025001．
［3］ 史旦达, 周健, 刘文白,等. 循环荷载作用下砂土液化特性的非圆颗粒数值模拟［J］.水利学报, 2008, 39(9):1074-1082.
SHI Danda, ZHOU Jian, LIU Wenbai, et al. Numerical simulation of liquefaction of sands with noncircular particle under cyclic loading ［J］.Shuli Xuebao, 2008, 39(9):1074-1082.
［4］ 周健, 杨永香, 刘洋,等. 循环荷载下砂土液化特性颗粒流数值模拟［J］.岩土力学, 2009, 30(4):1083-1088.
ZHOU Jian, YONG Yongxiang, LIU Yang, et al. Numerical modeling of sand liquefaction behavior under cyclic loading ［J］. Rock and Soil Mechanics, 2009, 30(4):1083-1088.
［5］ SHAMY U E, ZEGHAL M, DOBRY R. Micromechanical aspects of liquefactioninduced lateral spreading［J］. International journal of Geomechanics, 2010, 10(5):190-201．
［6］ SHAMY U E, ZEHAL M. A micromechanical investigation of the dynamic response and liquefaction of saturated granular soils［J］. Soil Dynamics and Earthquake Engineering, 2007, 27:712-729.
［7］ ZEHAL M., SHAMY U E. Liquefaction of saturated loose and cemented granular soils ［J］. Powder Technology, 2008, 184:254-265.
［8］ 刘洋, 周健, 付建新. 饱和砂土流固耦合细观数值模型及其在液化分析中的应用［J］.水利学报, 2009, 40(2):250-256.
LIU Yang, ZHOU Jian, FU Jianxin. Fluidparticle coupled model for saturated sand and its application to liquefaction analysis ［J］. Shui Xuebao, 2009, 40(2):250-256.
［9］ 金炜枫,周健. 引入流体方程的离散颗粒–连续土体耦合方法研究 ［J］. 岩石力学与工程学报, 2015, 34(6):1135-1147.
JIN Weifeng, ZHOU Jian. Coupled discrete-continuous solid with introduction of dynamic equations of fluid ［J］. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(6):11351147.
［10］ PAYAN M, SENETAKIS K, KHOSHGHALB A, et al. Influence of particle shape on smallstrain damping ratio of dry sands ［J］. Geotechnique, 2016, 66(7):610616．
［11］ GUIMOND B A, NAULEAU E, LE K A, et al. Freefree resonance testing of in situ deep mixed soils ［J］. Geotechnical Testing Journal, 2013, 36(2):283291．
［12］ LIN X Z, ZHU Z Y, ZHANG F, et al. Dynamic elastic modulus for frozen soil from the embankment on Beiluhe Basin along the QinghaiTibet Railway ［J］. Cold Regions Science and Technology, 2009, 57(1):712．
［13］ CUNDALL P A. PFC user manua l［M］. Minneapolis, Minnesota: Itasca Consulting Group Inc.,2004．
［14］ MONTEFUSCOLO F, SOUSA F S, BUSCAGLIA G C. Highorder ALE schemes for incompressible capillary flows ［J］. Journal of Computational Physics, 2014, 278:133147．
［15］ KANG Y S, KIM J, SOHN D, et al. A new threedimensional variablenode finite element and its application for fluidsolid interaction problems ［J］. Computer Methods In Applied Mechanics and Engineering, 281: 81105, 2014．
［16］ HSU M C, KAMENSKY D, BAZILEVS Y, et al. Fluidstructure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation ［J］. Computational Mechanics, 2014, 54: 10551071．
［17］ VILLONE M M, GRECO F, HULSEN M A, et al. Simulations of an elastic particle in Newtonian and viscoelastic fluids subjected to confined shear flow ［J］. Journal of NonNewtonian Fluid Mechnics, 2014, 210: 4755．
［18］ BAZILEVS Y, KOROBENKO A, DENG X, et al. FluidStructure Interaction Modeling of VerticalAxis Wind Turbines ［J］. Journal of Applied MechanicsTransaction of the ASME, 2014, 81(8): 081006．
［19］ FARHAT C, LAKSHMINARAYAN V K. An ALE formulation of embedded boundary methods for tracking boundary layers in turbulent fluidstructure interaction problems［J］. Journal of Computational Physics, 2014, 263:5370．
［20］ COTTER C J, HAM D A, PAIN C C, et al. LBB stability of a mixed Galerkin finite element pair for fluid flow simulations ［J］. Journal of Computational Physics, 2009, 228(2):336348．
［21］ HAN Z L, ZHOU D, TU J H, et al. Flow over two sidebyside square cylinders by CBS finite element scheme of SpalartAllmaras model ［J］. Ocean Engineering, 2014, 87:4049．
［22］ TAN L, ZHU B S, WANG Y C, et al. Turbulent flow simulation using large eddy simulation combined with characteristicbasedsplit scheme ［J］. Computers & Fluids, 2014, 94:161172．
［23］ ZIENKIENWICZ O C, TAYLOR R L, NITHIARASU P. The Finite Element Method for Fluid Dynamics(6th Edition)［M］. Singapore: Elsevier (Singapore) Pte Ltd., 2009:79103．
［24］ LIU H B. Boundary optimal feedback controller for timeperiodic StokesOseen flows ［J］. NodeaNonlinear Differential Equations And Applications, 2014, 21(5):709735．
［25］ KORAYEM H, IRANI M. Maximum dynamic load determination of mobile manipulators via nonlinear optimal feedback ［J］. Scientific Iranica Transaction BMechanical Engineering, 2010, 17(2):121135．
［26］ KORAYEM M H. New optimization method to solve motion planning of dynamic systems: application on mechanical manipulators ［J］. Multibody System Dynamics, 2014, 31(2):169189．
［27］ EFFATI S, NIK H S, SHIRAZIAN M. An improvement to the homotopy perturbation method for solving the HamiltonJacobiBellman equation［J］. IMA Journal of Mathematical Control and Information, 2013, 30(4):487506．
［28］ LIU D R, WANG D, WANG F Y, et al. Neuralnetworkbased online HJB solution for optimal robust guaranteed cost control of continuoustime uncertain nonlinear systems［J］. IEEE Transaction on Cybernetics, 2014, 44(12):28342847．
［29］ ZHANG H G, QIN C B, YAN H. NeuralNetworkBased Constrained Optimal Control Scheme for DiscreteTime Switched Nonlinear System Using Dual Heuristic Programming ［J］. IEEE Transaction on Automation Science and Engineering, 2014, 11(3):839849．
［30］ CHENG T. Neural network solution for fixedfinal time optimal control of nonlinear systems ［D］. Arlington: The University of Texas at Arlington,2006.
［31］ ASMA A A T. Discreteptime control algorithm and adaptive intelligent systems designs ［D］. Arlington: The University of Texas at Arlington,2007.
［32］ 张刚. 管涌现象细观机理的模型试验与颗粒流数值模拟研究［D］. 上海: 同济大学, 2007.
ZHANG Gang. Researches on mesoscale mechanism of piping failure by means of model test and PFC numerical simulation ［D］. Shanghai: Tongji University, 2007.
［33］ WEI L M, YANG J. On the role of grain shape in static liquefaction of sandfines mixtures ［J］. Geotechnique, 2014, 64(9):740745．
［34］ YANG J, LUO X D. Exploring the relationship between critical state and particle shape for granular materials ［J］. Journal of the Mechanics and Physics of Solids, 2015, 84:196213．
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