基于扩展有限元法的Koyna重力坝地震开裂过程模拟
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摘要
为了模拟重力坝在强震作用下的破坏过程,利用扩展有限元框架下的分离裂纹模型描述混凝土中的裂纹扩展。该模型通过富集非连续位移模式使得对裂纹的几何描述独立于网格边界。利用动力扩展有限元法,提出了集中质量矩阵处理方案,并在通用软件ABAQU S上进行了嵌入。对印度K oyna重力坝在强震下的开裂过程,应用该方案进行了数值模拟。结果表明:用该方案求解非连续界面动力接触问题,既不损失精度,又能避免不稳定性。
A discrete crack model based on the extended finite element method(XFEM) was used to describe the nonlinear fracture of concrete gravity dams during earthquakes.The Heaviside function was added to the approximation so the representation of the discontinuities is independent of the mesh boundaries to accurately model the crack growth.The XFEM for the static and dynamic analyses was then embedded into the ABAQUS platform using a concentrating mass matrix scheme.The seismic fracture of the Koyna gravity dam in India was simulated as an example.The results show that the scheme enhances the solution stability of the dynamic contact problem without significant loss of precision.
A discrete crack model based on the extended finite element method(XFEM) was used to describe the nonlinear fracture of concrete gravity dams during earthquakes.The Heaviside function was added to the approximation so the representation of the discontinuities is independent of the mesh boundaries to accurately model the crack growth.The XFEM for the static and dynamic analyses was then embedded into the ABAQUS platform using a concentrating mass matrix scheme.The seismic fracture of the Koyna gravity dam in India was simulated as an example.The results show that the scheme enhances the solution stability of the dynamic contact problem without significant loss of precision.
引文
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[12]侯艳丽.砼(混凝土)坝-地基破坏的离散元方法与断裂力学的耦合模型研究[D].北京:清华大学,2005.HOU Yanli.A coupling rupture model of distinct elementand fracture mechanics for concrete dam-foundations[D].Beijing:Tsinghua University,2005.(in Chinese)
[13]ABAQUS Inc.ABAQUS Version 6.5 Benchmarks Manual[M].Rawtucket,Rhode Island,USA:ABAQUS Inc.,2004.
[2]Jirásek M.Comparative study on finite elements withembedded discontinuities[J].Computer Meth in Appl Mechand Eng,2000,188:307-330.
[3]Melenk J M,Babu∨ska I.The partition of unity finite elementmethod:Basic theory and applications[J].Computer Meth inAppl Mech and Eng,1996,139(1-4):289-314.
[4]Moёs N,Dolbow J,Belytschko T.A finite element methodfor crack growth without remeshing[J].Int J Num Meth inEng,1999,46:131-150.
[5]Belytschko T,Moёs N,Usui S,et al.Arbitarydiscontinuities in finite elements[J].Int J Num Meth inEng,2001,50:993-1013.
[6]方修君,金峰,王进廷.用扩展有限元方法模拟混凝土的复合型开裂过程[J].工程力学,2007,24(S1):46-52.FANG Xiujun,JIN Feng,WANG Jinting.Simulation ofmixed-mode fracture of concrete using extended finiteelement method[J].Eng Mech,2007,24(S1):46-52.(in Chinese)
[7]方修君,金峰.基于ABAQUS平台的扩展有限元法[J].工程力学,2007,24(7):6-10.FANG Xiujun,JIN Feng.Extended finite element methodbased on ABAQUS[J].Eng Mech,2007,24(7):6-10.(in Chinese)
[8]ZI Goangseup,CHEN Hao,XU Jingxiao,et al.Theextended finite element method for dynamic fractures[J].Shock and Vibration,2005,12(1):9-23.
[9]WANG Guanglun,Pekau O A,Zhang Chuhan,et al.Seismic fracture analysis of concrete gravity dams based onnonlinear fracture mechanics[J].Eng Fracture Mech,2000,65(1):67-87.
[10]Lee J,Fenves L.A plastic-damage concrete model forearthquake analysis of dams[J].Earthquake Eng&StructDyna,1998,27(9):937-956.
[11]张国新,金峰,王光纶.用基于流形元的子域奇异边界元法模拟重力坝的地震破坏[J].工程力学,2001,18(4):18-27.ZHANG Guoxin,JIN Feng,WANG Guanglun.Seismicfailure simulation of gravity dam by manifold based singularboundary element method[J].Eng Mech,2001,18(4):18-27.(in Chinese)
[12]侯艳丽.砼(混凝土)坝-地基破坏的离散元方法与断裂力学的耦合模型研究[D].北京:清华大学,2005.HOU Yanli.A coupling rupture model of distinct elementand fracture mechanics for concrete dam-foundations[D].Beijing:Tsinghua University,2005.(in Chinese)
[13]ABAQUS Inc.ABAQUS Version 6.5 Benchmarks Manual[M].Rawtucket,Rhode Island,USA:ABAQUS Inc.,2004.
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