混凝土坝抗震加固中钢筋混凝土的动力本构模型
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摘要
基于复合材料细观力学和混凝土塑性损伤理论,针对混凝土坝抗震钢筋的分布形式和钢筋混凝土材料的力学特征,提出了钢筋单方向分布情况下钢筋混凝土材料的等效模量、等效强度的简化公式,在此基础上建立了整体式钢筋混凝土动力本构模型,并以Koyna坝为例,根据配筋前坝体的地震塑性损伤分析设置了配筋方案,分别运用整体式和分离式钢筋混凝土动力本构模型对该坝进行配筋计算,并进行了三维非线性地震响应时程分析,得到了两种不同配筋条件下坝体的拉应力损伤因子分布及坝顶动位移响应。结果表明,两种模型计算结果比较接近,配筋抗震措施能够明显地减小坝体损伤区的范围,整体式钢筋混凝土动力本构模型在满足计算精度的前提下可提高计算效率、简化模拟计算。
Based on the micro-mechanics of composite and plastic-damage theory for concrete,with the layout form of reinforcement in concrete dam and mechanics characteristic of reinforced concrete taken into account,the simplified equations of equivalent module and equivalent strength for reinforced concrete with the rebar orientated in single-direction are derived and an integral dynamic constitutive model for reinforced concrete is proposed.The model is applied to study the strengthening of the Koyna Dam,India.The reinforcement scheme according to the analysis on seismic plastic-damage zone of the dam is calculated by integral dynamic constitutive model and discrete constitutive model respectively,and the tensile damage index of the dam and displacement of dam crest are obtained by 3-D nonlinear seismic response history analysis.The results of both models are very close and verify that the reinforcement measure can effectively reduce the damage zone and significantly control the extension of damage zone.The integral dynamic constitutive model for reinforced concrete not only improves the computational efficiency and accuracy but also simplifies the simulation computation.
Based on the micro-mechanics of composite and plastic-damage theory for concrete,with the layout form of reinforcement in concrete dam and mechanics characteristic of reinforced concrete taken into account,the simplified equations of equivalent module and equivalent strength for reinforced concrete with the rebar orientated in single-direction are derived and an integral dynamic constitutive model for reinforced concrete is proposed.The model is applied to study the strengthening of the Koyna Dam,India.The reinforcement scheme according to the analysis on seismic plastic-damage zone of the dam is calculated by integral dynamic constitutive model and discrete constitutive model respectively,and the tensile damage index of the dam and displacement of dam crest are obtained by 3-D nonlinear seismic response history analysis.The results of both models are very close and verify that the reinforcement measure can effectively reduce the damage zone and significantly control the extension of damage zone.The integral dynamic constitutive model for reinforced concrete not only improves the computational efficiency and accuracy but also simplifies the simulation computation.
引文
[1]李瓒,陈兴华,郑建波,王光纶.混凝土拱坝设计[M].北京:中国电力出版社,2000.
[2]Hinks J L,Gosschalk E M.Dam and earthquake[J].Dam Engineering,1993,4(1):9-24.
[3]沈怀至,潘坚文,金峰,张楚汉.混凝土坝坝体配筋抗震措施研究[J].水利学报,2007,38(1):39-46.
[4]Zhang Chuhan,et al.Numerical model of concrete dam-foundation-reservior systems[M].Beijing:Tsinghua UniversityPress,2001:143-162.
[5]郭永刚,涂劲,陈厚群.高拱坝伸缩横缝间布设阻尼器对坝体地震反应影响的影响[J].世界地震工程,2003,19(3):44-49.
[6]郭永刚,涂劲,陈厚群.抗震钢筋对高拱坝抗震性能的影响[J].水利学报,2004,35(3):1-6.
[7]Lee J,Fenves G L.Plastic-damage model for cyclic loading of concrete structures[J].Journal of Engineering Mechanics,1998,124(8):892-900.
[8]江见鲸,陆新征,叶列平.混凝土结构有限元分析[M].北京:清华大学出版社,2005:25-45.
[9]孔丹丹,赵颖华,王萍,张淑清.钢筋混凝土材料有限元分析中的等效模量方法[J].沈阳建筑大学学报(自然科学版),2005,121(13):200-203.
[10]沈观林.复合材料力学[M].北京:清华大学出版社,1996:20-35.
[11]Zhao Y H,Weng G J.Effective elastic moduli of ribbon-reinforced composites[J].Journal of Applied Mechanics,1990,57(1):158-166.
[12]Westergaard H M.Water pressures on dams during earthquakes[J].Transactions of the American Society of CivilEngineers,1933,98:418-433.
[2]Hinks J L,Gosschalk E M.Dam and earthquake[J].Dam Engineering,1993,4(1):9-24.
[3]沈怀至,潘坚文,金峰,张楚汉.混凝土坝坝体配筋抗震措施研究[J].水利学报,2007,38(1):39-46.
[4]Zhang Chuhan,et al.Numerical model of concrete dam-foundation-reservior systems[M].Beijing:Tsinghua UniversityPress,2001:143-162.
[5]郭永刚,涂劲,陈厚群.高拱坝伸缩横缝间布设阻尼器对坝体地震反应影响的影响[J].世界地震工程,2003,19(3):44-49.
[6]郭永刚,涂劲,陈厚群.抗震钢筋对高拱坝抗震性能的影响[J].水利学报,2004,35(3):1-6.
[7]Lee J,Fenves G L.Plastic-damage model for cyclic loading of concrete structures[J].Journal of Engineering Mechanics,1998,124(8):892-900.
[8]江见鲸,陆新征,叶列平.混凝土结构有限元分析[M].北京:清华大学出版社,2005:25-45.
[9]孔丹丹,赵颖华,王萍,张淑清.钢筋混凝土材料有限元分析中的等效模量方法[J].沈阳建筑大学学报(自然科学版),2005,121(13):200-203.
[10]沈观林.复合材料力学[M].北京:清华大学出版社,1996:20-35.
[11]Zhao Y H,Weng G J.Effective elastic moduli of ribbon-reinforced composites[J].Journal of Applied Mechanics,1990,57(1):158-166.
[12]Westergaard H M.Water pressures on dams during earthquakes[J].Transactions of the American Society of CivilEngineers,1933,98:418-433.
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