非线性比例边界有限元在面板坝分析中的应用
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摘要
面板坝结构尺寸相差悬殊,高效的精细化分析手段是面板坝抗震研究的重要工具。结合非线性比例边界多边形单元法和高效的四分树离散技术,进行了面板坝高效精细化分析应用研究。采用比例边界多边形单元法和传统有限元法,对相同面板坝模型进行静动力及永久变形分析;结合四分树离散技术,进行了典型面板坝结构的高效跨尺度精细化分析应用。结果表明:计算结果分布合理,两种方法吻合度高,比例边界多边形有限元可与传统有限元一样便捷地进行大坝全过程数值分析计算;比例边界有限元可与传统有限元不能直接求解的四分树技术实现无缝耦合,进行高效的跨尺度精细化分析应用,且可快速完成分析模型重建,大幅改善了分析效率,可为结构局部损伤演化、渐进破坏研究提供技术支撑。
Concrete face rockfill dams vary in structural dimensions.Efficient and refined analysis methods are important tools in seismic research of the face-slab dams.In this paper,via combining the non-linear scaled boundary polygon element method with efficient quadtree discretization technology,the application of high-performance refined analysis of the concrete face dam is investigated.Firstly,the static and dynamic analysis and permanent deformation calculation of the same face-slab dam model are carried out by using the scaled boundary polygon element method and the traditional finite element method.Subsequently,combined with the quadtree discretization technology,the high-efficiency cross-scale fine analysis of typical face-slab dam structures is applied.The computation results indicate that:(1)the two methods are in good agreement,indicating that the scaled boundary polygon finite element method is an effective tool in the analysis of the dam.(2)The scaled boundary finite element method can be seamlessly coupled with quadtree technology for efficient cross-scale fine analysis applications,and is efficiently in the reconstruction of analysis model,which greatly improve the analysis efficiency.Thus it is concluded that this method can provide technical support for study of local damage evolution and progressive damage of structures.
Concrete face rockfill dams vary in structural dimensions.Efficient and refined analysis methods are important tools in seismic research of the face-slab dams.In this paper,via combining the non-linear scaled boundary polygon element method with efficient quadtree discretization technology,the application of high-performance refined analysis of the concrete face dam is investigated.Firstly,the static and dynamic analysis and permanent deformation calculation of the same face-slab dam model are carried out by using the scaled boundary polygon element method and the traditional finite element method.Subsequently,combined with the quadtree discretization technology,the high-efficiency cross-scale fine analysis of typical face-slab dam structures is applied.The computation results indicate that:(1)the two methods are in good agreement,indicating that the scaled boundary polygon finite element method is an effective tool in the analysis of the dam.(2)The scaled boundary finite element method can be seamlessly coupled with quadtree technology for efficient cross-scale fine analysis applications,and is efficiently in the reconstruction of analysis model,which greatly improve the analysis efficiency.Thus it is concluded that this method can provide technical support for study of local damage evolution and progressive damage of structures.
引文
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[22]CHEN K,ZOU D G,KONG X J.A nonlinear approach for the three-dimensional polyhedron scaled boundary finite element method and its verification using Koyna gravity dam[J].Soil Dynamics and Earthquake Engineering,2017,96:1-12.
[23]CHEN K,ZOU D G,KONG X J,et al.An efficient nonlinear octree SBFEM and its application to complicated geotechnical structures[J].Computers and Geotechnics,2018,96:226-245.
[24]CHEN K,ZOU D G,KONG X J,et al.Global concurrent cross-scale nonlinear analysis approach of complex CFRD systems considering dynamic impervious panel-rockfill material-foundation interactions[J].Soil Dynamics and Earthquake Engineering,2018,114:51-68.
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[29]陈楷,邹德高,孔宪京,等.多边形比例边界有限单元非线性化方法及应用[J].浙江大学学报(工学版),2017,51(10):1996-2004,2018.CHEN K,ZOU D G,KONG X J,et al.Novel nonlinear polygon scaled boundary finite element method and its application[J].Journal of Zhejiang University(Engineering Science),2017,51(10):1996-2004,2018.(in Chinese)
[30]ZOU D G,XU B,KONG X J,et al.Numerical simulation of the seismic response of the Zipingpu concrete face rockfill dam during the Wenchuan earthquake based on a generalized plasticity model[J].Computers and Geotechnics,2013,49:111-122.
[31]刘京茂,孔宪京,邹德高.接触面模型对面板与垫层间接触变形及面板应力的影响[J].岩土工程学报,2015,37(4):700-710.LIU J M,KONG X J,ZOU D G.Effects of interface models on deformation of interface between slab and cushion layer and slab stress of concrete faced rock fill dam[J].Chinese Journal of Geotechnical Engineering,2015,37(4):700-710.(in Chinese)
[32]邹德高,尤华芳,孔宪京,等.接缝简化模型及参数对面板堆石坝面板应力及接缝位移的影响研究[J].岩石力学与工程学报,2009,28(Sup1):3257-3263.ZOU D G,YOU H F,KONG X J,et al.Research on joint simplified model and effects of joint parameters on panel stress and joint displacements of faced rockfill dam[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(Sup1):3257-3263.(in Chinese)
[33]孔宪京,陈楷,邹德高,等.一种高效的FE-PSBFE耦合方法及在岩土工程弹塑性分析中的应用[J].工程力学,2018,35(6):6-14.KONG X J,CHEN K,ZOU D G,et al.An efficient FE-PSBFE coupled method and its application to the elasto-plastic analysis of geotechnical engineering structures[J].Engineering Mechanics,2018,35(6):6-14.(in Chinese)
[2]王勖成.有限单元法[M].北京:清华大学出版社,2002.WANG X C.Finite element method[M].Beijing:Tsinghua University Press,2002.(in Chinese)
[3]郭胜山,陈厚群,李德玉,等.混凝土动力塑性损伤分析中的单元尺寸效应探讨[J].水力发电学报,2011,30(6):52-56.GUO S S,CHEN H Q,LI D Y,et al.Study of element-size effect on dynamic plastic-damage analysis of concrete[J].Journal of Hydroelectric Engineering,2011,30(6):52-56.(in Chinese)
[4]QU Y Q,ZOU D G,KONG X J,et al.A novel interface element with asymmetric nodes and its application on concrete-faced rockfill dam[J].Computers and Geotechnics,2017,85:103-116.
[5]陈锡栋,杨婕,赵晓栋,等.有限元法的发展现状及应用[J].中国制造业信息化,2010,39(11):6-8,12.CHEN X D,YANG J,ZHAO X D,et al.The status and development of finite element method[J].Manufacture Information Engineering of China,2010,39(11):6-8,12.(in Chinese)
[6] WU D,SZE K Y,LO S H. Two-and threedimensional transition element families for adaptive refinement analysis of elasticity problems[J].International Journal for Numerical Methods in Engineering,2009,78(5):587-630.
[7]SAMADHIYA N K,VILADKAR M N,AL-OBAYDI M A.Three-dimensional joint/interface element for rough undulating major discontinuities in rock masses[J].International Journal of Geomechanics,2008,8(6):327-335.
[8] WISNOM M R. Modelling discrete failures in composites with interface elements[J].Composites Part A:Applied Science and Manufacturing,2010,41(7):795-805.
[9]WOLF J P,SONG C.Finite-element modelling of unbounded media[M].Chichester:Wiley,1996.
[10]NATARAJAN S,OOI E T,CHIONG I,et al.Convergence and accuracy of displacement based finite element formulations over arbitrary polygons:Laplace interpolants,strain smoothing and scaled boundary polygon formulation[J].Finite Elements in Analysis and Design,2014,85:101-122.
[11]LIU J,LIN G.A scaled boundary finite element method applied to electrostatic problems[J].Engineering Analysis with Boundary Elements,2012,36(12):1721-1732.
[12]BIRK C,BEHNKE R.A modified scaled boundary finite element method for three-dimensional dynamic soil-structure interaction in layered soil[J].International Journal for Numerical Methods in Engineering,2012,89(3):371-402.
[13]OOI E T,SHI M,SONG C,et al.Dynamic crack propagation simulation with scaled boundary polygon elements and automatic remeshing technique[J].Engineering Fracture Mechanics,2013,106:1-21.
[14]SAPUTRA A A,BIRK C,SONG C M.Computation of three-dimensional fracture parameters at interface cracks and notches by the scaled boundary finite element method[J].Engineering Fracture Mechanics,2015,148:213-242.
[15]XU H,ZOU D G,KONG X J,et al.Study on the effects of hydrodynamic pressure on the dynamic stresses in slabs of high CFRD based on the scaled boundary finite-element method[J].Soil Dynamics and Earthquake Engineering,2016,88:223-236.
[16]XU H,ZOU D G,KONG X J,et al.A nonlinear analysis of dynamic interactions of CFRD-compressible reservoir system based on FEM-SBFEM[J].Soil Dynamics and Earthquake Engineering,2018,112:24-34.
[17]ZOU D G,CHEN K,KONG X J,et al.An enhanced octree polyhedral scaled boundary finite element method and its applications in structure analysis[J].Engineering Analysis with Boundary Elements,2017,84:87-107.
[18]LIU Y,SAPUTRA A A, WANG J C,et al.Automatic polyhedral mesh generation and scaled boundary finite element analysis of STL models[J].Computer Methods in Applied Mechanics and Engineering,2017,313:106-132.
[19]CHEN D,BIRK C,SONG C,et al.A high-order approach for modelling transient wave propagation problems using the scaled boundary finite element method[J].International Journal for Numerical Methods in Engineering,2014,97(13):937-959.
[20]CHEN K,ZOU D G,KONG X J,et al.A novel nonlinear solution for the polygon scaled boundary finite element method and its application to geotechnical structures[J].Computers and Geotechnics,2017,82:201-210.
[21]ZOU D G,TENG X W,CHEN K,et al.An extended polygon scaled boundary finite element method for the nonlinear dynamic analysis of saturated soil[J].Engineering Analysis with Boundary Elements,2018,91:150-161.
[22]CHEN K,ZOU D G,KONG X J.A nonlinear approach for the three-dimensional polyhedron scaled boundary finite element method and its verification using Koyna gravity dam[J].Soil Dynamics and Earthquake Engineering,2017,96:1-12.
[23]CHEN K,ZOU D G,KONG X J,et al.An efficient nonlinear octree SBFEM and its application to complicated geotechnical structures[J].Computers and Geotechnics,2018,96:226-245.
[24]CHEN K,ZOU D G,KONG X J,et al.Global concurrent cross-scale nonlinear analysis approach of complex CFRD systems considering dynamic impervious panel-rockfill material-foundation interactions[J].Soil Dynamics and Earthquake Engineering,2018,114:51-68.
[25]邹德高,孔宪京,周晨光,等.GEOtechnical Dynamic Nonlinear Analysis-GEODYNA使用说明[R].辽宁大连:大连理工大学抗震研究所,2017.
[26]SONG C M,WOLF J P.The scaled boundary finiteelement method-a primer:Solution procedures[J].Computers &Structures,2000,78(1/2/3):211-225.
[27]WOLF J P,SONG C M.The scaled boundary finiteelement method-aprimer:Derivations[J].Computers &Structures,2000,78(1/2/3):191-210.
[28]WOLF J P.The scaled boundary finite element method[M].John Wiley &Sons Ltd.,West Sussex,2003.
[29]陈楷,邹德高,孔宪京,等.多边形比例边界有限单元非线性化方法及应用[J].浙江大学学报(工学版),2017,51(10):1996-2004,2018.CHEN K,ZOU D G,KONG X J,et al.Novel nonlinear polygon scaled boundary finite element method and its application[J].Journal of Zhejiang University(Engineering Science),2017,51(10):1996-2004,2018.(in Chinese)
[30]ZOU D G,XU B,KONG X J,et al.Numerical simulation of the seismic response of the Zipingpu concrete face rockfill dam during the Wenchuan earthquake based on a generalized plasticity model[J].Computers and Geotechnics,2013,49:111-122.
[31]刘京茂,孔宪京,邹德高.接触面模型对面板与垫层间接触变形及面板应力的影响[J].岩土工程学报,2015,37(4):700-710.LIU J M,KONG X J,ZOU D G.Effects of interface models on deformation of interface between slab and cushion layer and slab stress of concrete faced rock fill dam[J].Chinese Journal of Geotechnical Engineering,2015,37(4):700-710.(in Chinese)
[32]邹德高,尤华芳,孔宪京,等.接缝简化模型及参数对面板堆石坝面板应力及接缝位移的影响研究[J].岩石力学与工程学报,2009,28(Sup1):3257-3263.ZOU D G,YOU H F,KONG X J,et al.Research on joint simplified model and effects of joint parameters on panel stress and joint displacements of faced rockfill dam[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(Sup1):3257-3263.(in Chinese)
[33]孔宪京,陈楷,邹德高,等.一种高效的FE-PSBFE耦合方法及在岩土工程弹塑性分析中的应用[J].工程力学,2018,35(6):6-14.KONG X J,CHEN K,ZOU D G,et al.An efficient FE-PSBFE coupled method and its application to the elasto-plastic analysis of geotechnical engineering structures[J].Engineering Mechanics,2018,35(6):6-14.(in Chinese)
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