基于显式有限元的钢筋混凝土构件准静态响应分析
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摘要
显式有限元可以有效避免土木工程计算中常见的不收敛现象,但在解决钢筋混凝土构件准静态响应问题中应用较少,且缺乏科学、详细的分析过程。为验证显式分析求解钢筋混凝土结构准静态响应的可靠性,本文对一钢筋混凝土梁(尺寸为1400mm×100mm×150mm)进行了四点弯曲试验。同时,使用ABAQUS/Explicit建立了与试验对应的有限元模型,并对模型的建立、网格无关性分析、提高计算效率的方法进行了探究。经验证,该有限元模型的最佳网格尺寸为10mm,由系统最低阶模态结合平滑幅值曲线确定了该有限元模型最佳加载速度为0.4m/s。研究结果表明,在使用显式有限元求解钢筋混凝土梁的准静态响应过程中未出现不收敛现象,且在各阶段都与试验结果有较好的一致性。
Explicit Finite Element Method(EFEM) can avoid the divergent phenomena efficiently in civil engineering. However, this method is seldom used in solving the problem for quasi-static response of reinforced concrete(RC) members, and also lack of the scientific and detailed process. The primary goal of this research is to verify the reliability of EFEM when it is used to compute the quasi-static response of RC members. In this paper, a four-point bending test of a RC beam( 1400 mm ?100 mm ?150 mm) is carried out. Meanwhile,the EFEM model is established by ABAQUS/Explicit under the same loading case. The establishment of FE model, the irrelevant validation of mesh and the method to improve calculation efficiency are studied deeply. Finally, the optimal mesh size of the EFEM model is 10 mm. Additionally, determined by the lowest order mode and a smooth amplitude curve, the optimal loading speed of this model is 0.4 m/s. Results show the divergent phenomena do not appear when EFEM is used to analyze the quasi-static response of RC beam, and the numerical data are consistent with the tests at each loading stage.
Explicit Finite Element Method(EFEM) can avoid the divergent phenomena efficiently in civil engineering. However, this method is seldom used in solving the problem for quasi-static response of reinforced concrete(RC) members, and also lack of the scientific and detailed process. The primary goal of this research is to verify the reliability of EFEM when it is used to compute the quasi-static response of RC members. In this paper, a four-point bending test of a RC beam( 1400 mm ?100 mm ?150 mm) is carried out. Meanwhile,the EFEM model is established by ABAQUS/Explicit under the same loading case. The establishment of FE model, the irrelevant validation of mesh and the method to improve calculation efficiency are studied deeply. Finally, the optimal mesh size of the EFEM model is 10 mm. Additionally, determined by the lowest order mode and a smooth amplitude curve, the optimal loading speed of this model is 0.4 m/s. Results show the divergent phenomena do not appear when EFEM is used to analyze the quasi-static response of RC beam, and the numerical data are consistent with the tests at each loading stage.
引文
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[8]王强,朱丽丽,李哲.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.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)).
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[10]任晓丹.弹塑性损伤本构关系的显式积分算法研究[J].固体力学学报,2014,35(增刊1):134-140.(REN Xiaodan.Explicit time integration scheme for plastic damage model[J].Chinese journal of solid mechanics,2014,35(S1):134-140(in Chinese)).
[11]王勖成.有限单元法[M].北京:清华大学出版社,2003.(WANG Xucheng.Finite element method[M].Beijing:Tsinghua University Press,2003(in Chinese)).
[12]LUBLINER J,OLIVER J,OLLER S,et al.A plastic-damage model for concrete[J].International journal of solids and structures,1989,25(3):299-326.
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[14]刘巍,徐明,陈忠范.ABAQUS混凝土损伤塑性模型参数标定及验证[J].工业建筑,2014,44(增刊1):167-171.(LIU Wei,XU Ming,CHEN Zhongfan.Parameters calibration and verification of concrete damage plasticity model of ABAQUS[J].Industrial construction,2014,44(S1):167-171(in Chinese)).
[15]方秦,还毅,张亚栋,等.ABAQUS混凝土损伤塑性模型的静力性能分析[J].解放军理工大学学报(自然科学版),2007,8(3):254-260.(FANG Qin,HUAN Yi,ZHANG Yadong,et al.Investigation into static properties of damaged plasticity model for concrete in ABAQUS[J].Journal of PLA university(science and technology),2007,8(3):254-260(in Chinese)).
[16]李敏,李宏男.ABAQUS混凝土损伤塑性模型的动力性能分析[J].防灾减灾工程学报,2011,31(3):299-303.(LI Min,LI Hongnan.Investigation into dynamic properties of damaged plasticity model for concrete in ABAQUS[J].Journal of disaster prevention and mitigation engineering,2011,31(3):299-303(in Chinese)).
[17]范浩,温四清,董卫国,等.基于ABAQUS的混凝土剪力墙滞回性能的模拟[J].建筑结构,2013,43(增刊2):549-554.(FAN Hao,WEN Siqing,DONG Weiguo,et al.Simulation of the hysteretic performance of the concrete shear wall in ABAQUS[J].Building structure,2013,43(S2):549-554(in Chinese)).
[18]庄茁.ABAQUS/Explicit有限元软件入门指南[M].北京:清华大学出版社,1999.(ZHUANG Zhuo.The finite element software ABAQUS/Explicit start guide[M].Beijing:Tsinghua University Press,1999(in Chinese)).
[2]姚松,田红旗,高广军.显式有限元法在车辆耐撞性研究中的应用[J].交通运输工程学报,2003,3(1):13-16.(YAO Song,TIAN Hongqi,GAO Guangjun.Explicit finite element method for vehicle crash worthiness[J].Journal of traffic and transportation engineering,2003,3(1):13-16(in Chinese)).
[3]LOANNIDES A M,PENG J,JR J R S.Simulation of concrete fracture using ABAQUS[C]//Proceedings of Eighth International Conference on Concrete Pavements.Boston:ASCE,2005:1138-1154.
[4]WANG G Y,XUE S D,QIU L B.Method analyzing reinforced concrete frames in fire based on ABAQUS[J].Journal of Beijing university of technology,2010,36(3):316-320.
[5]GENIKOMSOU A S,POLAK M A.Finite element analysis of a reinforced concrete slab-column connection using ABAQUS[C]//Proceedings of Structures Congress.Boston:ASCE,2014:813-823.
[6]庄茁.基于ABAQUS的有限元分析和应用[M].北京:清华大学出版社,2009.(ZHUANG Zhuo.Finite element analysis and application based on ABAQUS[M].Beijing:Tsinghua University Press,2009(in Chinese)).
[7]王素裹,韩小雷,季静.ABAQUS显式分析方法在钢筋混凝土结构中的应用[J].科学技术与工程,2009,9(16):4688-4692.(WANG Suguo,HAN Xiaolei,JI Jing.Application of ABAQUS/Explicit in reinforced concrete structures[J].Science technology and engineering,2009,9(16):4688-4692(in Chinese)).
[8]王强,朱丽丽,李哲.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.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)).
[9]朱丽丽.ABAQUS显式分析梁单元的混凝土、钢筋本构模型研究[D].沈阳:沈阳建筑大学,2013.(ZHU Lili.Study on the constitutive model of concrete and steel for explicit dynamic beam elements of ABAQUS[D].Shenyang:Shenyang Jianzhu University,2013(in Chinese)).
[10]任晓丹.弹塑性损伤本构关系的显式积分算法研究[J].固体力学学报,2014,35(增刊1):134-140.(REN Xiaodan.Explicit time integration scheme for plastic damage model[J].Chinese journal of solid mechanics,2014,35(S1):134-140(in Chinese)).
[11]王勖成.有限单元法[M].北京:清华大学出版社,2003.(WANG Xucheng.Finite element method[M].Beijing:Tsinghua University Press,2003(in Chinese)).
[12]LUBLINER J,OLIVER J,OLLER S,et al.A plastic-damage model for concrete[J].International journal of solids and structures,1989,25(3):299-326.
[13]LEE J,FENVES G L.Plastic-damage model for cyclic loading of concrete structures[J].Journal of engineering mechanics,1998,124(8):892-900.
[14]刘巍,徐明,陈忠范.ABAQUS混凝土损伤塑性模型参数标定及验证[J].工业建筑,2014,44(增刊1):167-171.(LIU Wei,XU Ming,CHEN Zhongfan.Parameters calibration and verification of concrete damage plasticity model of ABAQUS[J].Industrial construction,2014,44(S1):167-171(in Chinese)).
[15]方秦,还毅,张亚栋,等.ABAQUS混凝土损伤塑性模型的静力性能分析[J].解放军理工大学学报(自然科学版),2007,8(3):254-260.(FANG Qin,HUAN Yi,ZHANG Yadong,et al.Investigation into static properties of damaged plasticity model for concrete in ABAQUS[J].Journal of PLA university(science and technology),2007,8(3):254-260(in Chinese)).
[16]李敏,李宏男.ABAQUS混凝土损伤塑性模型的动力性能分析[J].防灾减灾工程学报,2011,31(3):299-303.(LI Min,LI Hongnan.Investigation into dynamic properties of damaged plasticity model for concrete in ABAQUS[J].Journal of disaster prevention and mitigation engineering,2011,31(3):299-303(in Chinese)).
[17]范浩,温四清,董卫国,等.基于ABAQUS的混凝土剪力墙滞回性能的模拟[J].建筑结构,2013,43(增刊2):549-554.(FAN Hao,WEN Siqing,DONG Weiguo,et al.Simulation of the hysteretic performance of the concrete shear wall in ABAQUS[J].Building structure,2013,43(S2):549-554(in Chinese)).
[18]庄茁.ABAQUS/Explicit有限元软件入门指南[M].北京:清华大学出版社,1999.(ZHUANG Zhuo.The finite element software ABAQUS/Explicit start guide[M].Beijing:Tsinghua University Press,1999(in Chinese)).