基于ABAQUS纤维梁单元的钢筋混凝土柱受力破坏全过程数值模拟
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摘要
合理、准确地模拟钢筋混凝土梁柱构件的非线性及断裂破坏行为,对于进行钢筋混凝土框架结构在强震作用下的倒塌破坏机制研究具有重要的意义。基于有限元软件ABAQUS的显式求解模块Explicit,研究了钢筋混凝土梁柱构件纤维梁单元的构型及其单元消除技术,构建了包含材料破坏准则的钢筋、混凝土单轴本构关系,并利用用户材料接口VUMAT编制了相应的计算子程序。为验证上述方法的合理性和正确性,本文对轴压与侧向往复加载下钢筋混凝土柱构件的受力破坏全过程进行了数值模拟。计算结果表明:采用单元消除(杀死)可以简单、有效地实现有限单元法对于梁柱构件断裂破坏过程的模拟;基于纤维梁单元构建的材料单轴本构关系和破坏准则能够准确、细致地描述钢筋混凝土柱在荷载作用下的非线性性能发展、构件截面的渐进破坏过程以及残余构件的运动状态;对于非线性性态发展较为强烈的结构构件,考虑材料失效的模拟分析结果更为合理、可信。该方法可用于钢筋混凝土框架结构在强震下倒塌全过程的模拟分析。
Rationally and precisely simulating the nonlinear and fracture behavior of RC beam-column members is important to understanding the collapse mechanism of RC frame structures under severe earthquakes. In this study,the allocation and removal of fiber beam model for RC beam-column members is studied based on ABAQUS / Explicit,and the uniaxial constitutive relationship and material failure criterion of concrete and steel reinforcement is studied.Furthermore,a calculation subroutine is developed by utilizing the user material interface VUMAT. To verify the validity of the proposed method,the failure processes of two reinforced concrete column members are simulated under axial loading and lateral reversal loading,respectively. The results indicate that the fracture and failure process of members can be simply and effectively simulated based on the element removal technique. The fiber beam model combined with the proposed constitutive models and failure criterion can effectively and accurately capture the nonlinear behavior of RC columns,the gradual failure process of section as well as the motion state of residual member. For the nonlinear performance of RC structures and its components,the analyzing result is more reasonable and reliable particularly when the material failure is considered. The proposed method can be used for analyzing the entire collapse process of RC frame structures under strong earthquakes.
Rationally and precisely simulating the nonlinear and fracture behavior of RC beam-column members is important to understanding the collapse mechanism of RC frame structures under severe earthquakes. In this study,the allocation and removal of fiber beam model for RC beam-column members is studied based on ABAQUS / Explicit,and the uniaxial constitutive relationship and material failure criterion of concrete and steel reinforcement is studied.Furthermore,a calculation subroutine is developed by utilizing the user material interface VUMAT. To verify the validity of the proposed method,the failure processes of two reinforced concrete column members are simulated under axial loading and lateral reversal loading,respectively. The results indicate that the fracture and failure process of members can be simply and effectively simulated based on the element removal technique. The fiber beam model combined with the proposed constitutive models and failure criterion can effectively and accurately capture the nonlinear behavior of RC columns,the gradual failure process of section as well as the motion state of residual member. For the nonlinear performance of RC structures and its components,the analyzing result is more reasonable and reliable particularly when the material failure is considered. The proposed method can be used for analyzing the entire collapse process of RC frame structures under strong earthquakes.
引文
[1]胡聿贤.地震工程学[M].北京:地震出版社,2006(Hu Yuxian.Earthquake engineering[M].Beijing:Seismological Press,2006(in Chinese))
[2]顾祥林,黄庆华,汪小林,等.地震中钢筋混凝土框架结构倒塌反应的试验研究与数值仿真[J].土木工程学报,2012,45(9):36-45(Gu Xianglin,Huang Qinghua,Wang Xiaolin,et al.Spatial collapse responses of reinforced concrete frame structures under earthquakes:test study and numerical simulation[J].China Civil Engineering Journal,2012,45(9):36-45(in Chinese))
[3]陆新征,叶列平,潘鹏,等.钢筋混凝土框架结构拟静力倒塌试验研究及数值模拟竞赛I:框架试验[J].建筑结构,2012,42(11):19-22(Lu Xinzheng,Ye Lieping,Pan Peng,et al.Pseudo-static collapse experiments and numerical prediction competition of RC frame structure I:RC frame experiment[J].Building Structure,2012,42(11):19-22(in Chinese))
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[5]Zhang L M,Liu X L.Collapse analysis of reinforced concrete frame structures considering collision effects[C]//WCEE.Proceedings of Twelfth World Conference on Earthquake Engineering.Auckland:WCEE.2000:1-8
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[8]Yi Z,Agrawal A K,Ettouney M.Finite element simulation of blast loads on reinforced concrete structures using LSDYNA[J].New Horizons and Better Practices,ASCE,2007
[9]刘海卿,刘东.钢筋混凝土框架结构地震倒塌过程模拟分析[J].辽宁工程技术大学学报:自然科学版,2009,28(6):969-972(Liu Haiqing,Liu Dong.Simulation analysis for collapse process of frame structures under earthquake[J].Journal of Liaoning Technical University:Natural Science,2009,28(6):969-972(in Chinese))
[10]庄茁,由小川,廖剑辉,等.基于ABAQUS的有限元分析和应用[M].北京:清华大学出版社,2009
[11]ABAQUS Inc.ABAQUS User’s Manual[M].ABAQUS Inc.,2010
[12]王强,朱丽丽,李哲,等.ABAQUS显式分析梁单元的混凝土、钢筋本构模型[J].沈阳建筑大学学报:自然科学版,2013,29(1):56-64(Wang Qiang,Zhu Lili,Li Zhe,et al.Study on the constitutive model of concrete and steel for explicit dynamic beam elements of ABAQUS[J].Journal of Shenyang Jianzhu University:Natural Science,2013,29(1):56-64(in Chinese))
[13]刑纪波.梁-颗粒模型导论[M].北京:地震出版社,1999(Xing Jibo.Introduction to the beam-particle model[M].Beijing:Seismological Press,1999(in Chinese))
[14]周彧,金伟良.基于离散单元法的框架填充墙裂缝数值模拟[J].建筑砌块与砌块建筑,2008(6):3-6
[15]顾祥林,印小晶,林峰,等.建筑结构倒塌过程模拟与防倒塌设计[J].建筑结构学报,2010,31(6):179-187(Gu Xiang Lin,Yin Xiaojing,Lin Feng,et al.Simulation of collapse process and design method to resist collapse for building structures[J].Journal of Building Structures,2010,31(6):179-187(in Chinese))
[16]王卓琳,林峰,顾祥林.基于离散单元法的混凝土细观力学模型研究进展[J].结构工程师,2007,23(5):79-85(Wang Zhuolin,Lin Feng,Gu Xianglin.State of the art of meso-mechanical models of concrete based on discrete element method[J].Structure Engineers,2007,23(5):79-85(in Chinese))
[17]Scott B D,Park R,Priestley M J N.Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates[J].ACI Journal,1982,78(2):225-231
[18]朱伯龙,董振祥.钢筋混凝土非线性分析[M].上海:同济大学出版社,1985
[19]Kawashima K,Watanabe G,Hayakawa R.Seismic performance of RC bridge columns subjected to bilateral excitation[C]//Proc.35th Joint Meeting,Panel on Wind and Seismic Effects.Japan:Tsukuba Science City,2003
[20]陆新征,叶列平,潘鹏,等.钢筋混凝土框架结构拟静力倒塌试验研究及数值模拟竞赛Ⅱ:关键构件试验[J].建筑结构,2012,42(11):23-26(Lu Xinzheng,Ye Lieping,Pan Peng,et al.Pseudo-static collapse experiments and numerical prediction competition of RC frame structureⅡ:key elements experiment[J].Building Structure,2012,42(11):23-26(in Chinese))
[2]顾祥林,黄庆华,汪小林,等.地震中钢筋混凝土框架结构倒塌反应的试验研究与数值仿真[J].土木工程学报,2012,45(9):36-45(Gu Xianglin,Huang Qinghua,Wang Xiaolin,et al.Spatial collapse responses of reinforced concrete frame structures under earthquakes:test study and numerical simulation[J].China Civil Engineering Journal,2012,45(9):36-45(in Chinese))
[3]陆新征,叶列平,潘鹏,等.钢筋混凝土框架结构拟静力倒塌试验研究及数值模拟竞赛I:框架试验[J].建筑结构,2012,42(11):19-22(Lu Xinzheng,Ye Lieping,Pan Peng,et al.Pseudo-static collapse experiments and numerical prediction competition of RC frame structure I:RC frame experiment[J].Building Structure,2012,42(11):19-22(in Chinese))
[4]秦东,范立础.钢筋混凝土结构倒塌全过程数值模拟[J].同济大学学报,2001,29(1):80-83(Qin Dong,Fan Lichu.Numerical simulation on collapse process of reinforced concrete structures[J].Journal of Tongji University,2001,29(1):80-83(in Chinese))
[5]Zhang L M,Liu X L.Collapse analysis of reinforced concrete frame structures considering collision effects[C]//WCEE.Proceedings of Twelfth World Conference on Earthquake Engineering.Auckland:WCEE.2000:1-8
[6]Isobe D,Toi Y.Analysis of structurally discontinuous reinforced concrete building frames using the ASI technique[J].Computers&Structures,2000,76(4):471-481
[7]卢啸,陆新征,张万开,等.特大地震下超高层建筑的倒塌模拟[J].中国科学:技术科学,2011,41(11):1405-1416(Lu Xiao,Lu Xinzheng,Zhang Wankai,et al.Collapse simulation of a super high-rise building subjected to extremely strong earthquakes[J].Sci China:Tech Sci,2011,41(11):1405-1416(in Chinese))
[8]Yi Z,Agrawal A K,Ettouney M.Finite element simulation of blast loads on reinforced concrete structures using LSDYNA[J].New Horizons and Better Practices,ASCE,2007
[9]刘海卿,刘东.钢筋混凝土框架结构地震倒塌过程模拟分析[J].辽宁工程技术大学学报:自然科学版,2009,28(6):969-972(Liu Haiqing,Liu Dong.Simulation analysis for collapse process of frame structures under earthquake[J].Journal of Liaoning Technical University:Natural Science,2009,28(6):969-972(in Chinese))
[10]庄茁,由小川,廖剑辉,等.基于ABAQUS的有限元分析和应用[M].北京:清华大学出版社,2009
[11]ABAQUS Inc.ABAQUS User’s Manual[M].ABAQUS Inc.,2010
[12]王强,朱丽丽,李哲,等.ABAQUS显式分析梁单元的混凝土、钢筋本构模型[J].沈阳建筑大学学报:自然科学版,2013,29(1):56-64(Wang Qiang,Zhu Lili,Li Zhe,et al.Study on the constitutive model of concrete and steel for explicit dynamic beam elements of ABAQUS[J].Journal of Shenyang Jianzhu University:Natural Science,2013,29(1):56-64(in Chinese))
[13]刑纪波.梁-颗粒模型导论[M].北京:地震出版社,1999(Xing Jibo.Introduction to the beam-particle model[M].Beijing:Seismological Press,1999(in Chinese))
[14]周彧,金伟良.基于离散单元法的框架填充墙裂缝数值模拟[J].建筑砌块与砌块建筑,2008(6):3-6
[15]顾祥林,印小晶,林峰,等.建筑结构倒塌过程模拟与防倒塌设计[J].建筑结构学报,2010,31(6):179-187(Gu Xiang Lin,Yin Xiaojing,Lin Feng,et al.Simulation of collapse process and design method to resist collapse for building structures[J].Journal of Building Structures,2010,31(6):179-187(in Chinese))
[16]王卓琳,林峰,顾祥林.基于离散单元法的混凝土细观力学模型研究进展[J].结构工程师,2007,23(5):79-85(Wang Zhuolin,Lin Feng,Gu Xianglin.State of the art of meso-mechanical models of concrete based on discrete element method[J].Structure Engineers,2007,23(5):79-85(in Chinese))
[17]Scott B D,Park R,Priestley M J N.Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates[J].ACI Journal,1982,78(2):225-231
[18]朱伯龙,董振祥.钢筋混凝土非线性分析[M].上海:同济大学出版社,1985
[19]Kawashima K,Watanabe G,Hayakawa R.Seismic performance of RC bridge columns subjected to bilateral excitation[C]//Proc.35th Joint Meeting,Panel on Wind and Seismic Effects.Japan:Tsukuba Science City,2003
[20]陆新征,叶列平,潘鹏,等.钢筋混凝土框架结构拟静力倒塌试验研究及数值模拟竞赛Ⅱ:关键构件试验[J].建筑结构,2012,42(11):23-26(Lu Xinzheng,Ye Lieping,Pan Peng,et al.Pseudo-static collapse experiments and numerical prediction competition of RC frame structureⅡ:key elements experiment[J].Building Structure,2012,42(11):23-26(in Chinese))
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