可变形体离散元模型
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摘要
为解决岩土工程中的大变形和不连续问题,根据变形体动力学和离散元法的基本原理,建立了适用于可变形体的单元模型.采用弹塑性边边接触模型及动态松弛法,推导出相应的理论公式并编制了计算程序.通过选取适当的计算参数对典型算例进行分析计算;得到了静力平面问题的应力、位移分布及静态解的收敛过程;验证了计算程序和计算参数选取的正确性;证明了该方法用于岩土工程静力计算的可行性.
To solve the problems of large displacement and discontinuousness in rock and soil engineering, a element model for deformable bodies was built according to the fundamental principle of dynamics of deformable bodies and discrete element method. Using elastic-plastic side-side contact model and dynamic relaxation method, the corresponding theoretical formula was deduced and the corresponding calculating program was worked out. The displacement and stress distribution of static problem and the astringency of its solution werer presented to test the validity of calculating program and parameter by analyzing a typical example. The feasibility of discrete element method for deformable bodies applied to static calculation in rock and soil engineering was proved.
To solve the problems of large displacement and discontinuousness in rock and soil engineering, a element model for deformable bodies was built according to the fundamental principle of dynamics of deformable bodies and discrete element method. Using elastic-plastic side-side contact model and dynamic relaxation method, the corresponding theoretical formula was deduced and the corresponding calculating program was worked out. The displacement and stress distribution of static problem and the astringency of its solution werer presented to test the validity of calculating program and parameter by analyzing a typical example. The feasibility of discrete element method for deformable bodies applied to static calculation in rock and soil engineering was proved.
引文
[1]王泳嘉,邢纪波.离散单元法及其在岩土力学中的应用[M].沈阳:东北工学院出版社,1991.WangYongjia,XingJibo.DiscreteElementMethodandAp plicationinRockandSoilEngineering[M].Shenyang:NortheastenIndustryInstitutePublishingHouse,1991(in Chinese).
[2]雷晓燕.岩土工程数值计算[M].北京:中国铁道出版社,1999.LeiXiaoyan.NumericalComputationinRockandSoilEngi neering[M].Beijing:ChinaRailwayPublishingHouse,1999(inChinese).
[3]TanakaHiroaki,MomozuMasatoshi,OidaAkira,etal.Sim ulationofsoildeformationandresistanceatpenetrationby thedistinctelementmethod[J].JournalofTerramechanics,2000,37(1):41—56.
[4]BaughJWJr,KonduriRKS.Discreteelementmodelingon aclusterofworkstations[J].EngineeringwithComputers,2001,17(1):1—15.
[5]瓦尔夫JP.土结构动力相互作用[M].吴世明译,北京:地震出版社,1989.WalfJP.DynamicSoil StructureInteraction[M].Translated byWuShiming,Beijing:SeismologicaPress,1989(inChi nese).
[6]王泳嘉,邢纪波.离散元法的基本原理及其应用[A].见:第一届计算岩土力学研讨会论文集[C].吉安,1987.WangYongjia,XingJibo.Fundamentalprincipleandappli cationofdiscreteelementmethod[A].In:1thConferenceon CalculationRockandSoilMechanics[C].Ji’an,1987(in Chinese).
[7]李华,孔宪立.离散单元法:参数选择与讨论[A].见:第一届计算岩土力学研讨会论文集[C].吉安,1987.LiHua,KongXianli.Discreteelementmethod:Selectionof parametersanddiscussion[A].In:Proceedingsofthe1st ConferenceonCalculationRockandSoilMechanics[C].Ji’an,1987(inChinese).
[8]王光纶,张楚汉,彭岗,等.刚块动力试验与离散单元法动力分析参数选择的研究[J].岩石力学与工程学报,1994,13(2):124—133.WangGuanglun,ZhangChuhan,PengGang,etal.Dynamic testofrigidblocksandparameterstudyindynamicanalysis ofdistinctelements[J].ChineseJournalofRockMechanics andEngineering,1994,13(2):124—133(inChinese).
[2]雷晓燕.岩土工程数值计算[M].北京:中国铁道出版社,1999.LeiXiaoyan.NumericalComputationinRockandSoilEngi neering[M].Beijing:ChinaRailwayPublishingHouse,1999(inChinese).
[3]TanakaHiroaki,MomozuMasatoshi,OidaAkira,etal.Sim ulationofsoildeformationandresistanceatpenetrationby thedistinctelementmethod[J].JournalofTerramechanics,2000,37(1):41—56.
[4]BaughJWJr,KonduriRKS.Discreteelementmodelingon aclusterofworkstations[J].EngineeringwithComputers,2001,17(1):1—15.
[5]瓦尔夫JP.土结构动力相互作用[M].吴世明译,北京:地震出版社,1989.WalfJP.DynamicSoil StructureInteraction[M].Translated byWuShiming,Beijing:SeismologicaPress,1989(inChi nese).
[6]王泳嘉,邢纪波.离散元法的基本原理及其应用[A].见:第一届计算岩土力学研讨会论文集[C].吉安,1987.WangYongjia,XingJibo.Fundamentalprincipleandappli cationofdiscreteelementmethod[A].In:1thConferenceon CalculationRockandSoilMechanics[C].Ji’an,1987(in Chinese).
[7]李华,孔宪立.离散单元法:参数选择与讨论[A].见:第一届计算岩土力学研讨会论文集[C].吉安,1987.LiHua,KongXianli.Discreteelementmethod:Selectionof parametersanddiscussion[A].In:Proceedingsofthe1st ConferenceonCalculationRockandSoilMechanics[C].Ji’an,1987(inChinese).
[8]王光纶,张楚汉,彭岗,等.刚块动力试验与离散单元法动力分析参数选择的研究[J].岩石力学与工程学报,1994,13(2):124—133.WangGuanglun,ZhangChuhan,PengGang,etal.Dynamic testofrigidblocksandparameterstudyindynamicanalysis ofdistinctelements[J].ChineseJournalofRockMechanics andEngineering,1994,13(2):124—133(inChinese).
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