砌体结构破坏倒塌过程的离散单元模拟
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摘要
基于传统颗粒离散单元模型(DEM),开发了一种绑定式离散单元模型(BTDEM)用于砌体结构崩塌机制的研究,并对一个典型砌体结构的破坏倒塌过程进行数值模拟。结果证实BTDEM方法能够详细地模拟出砌体建筑结构的崩塌过程,同时还可以模拟出砌块的破碎,是一种普适性较强的模拟砌体结构建筑的高效数值方法。BTDEM方法具有计算速度快和易实现大规模计算的优点,同时该方法具有处理砌体填充墙框架结构的能力,应用范围极广。发展该方法并将其应用于建筑物的动态灾变过程研究,将为土木建筑的防灾、减灾研究及工程实施提供一种新颖、可信的数值模拟手段。
Based on the traditional spherical discrete element method(DEM),a kind of bonding type discrete element model(BTDEM) was established,and applied to the simulation of the breakage and collapse of masonry structures.The breakage and collapse of a kind of typical masonry structure was simulated by BTDEM in this paper,and the simulation results show that the details of the collapse of the masonry structure,even the breakage of building blocks,all can be predicted by the new method.The simulation case shows that the BTDEM is a kind of high efficient numerical method for simulating masonry structures.The BTDEM has the advantages of higher computational efficiency and easy computing on large scales,and the method can be expanded to be used in the simulation and analysis of the breakage and collapse of masonry-infilled frame structures.The application of the method on the dynamic cataclysm of buildings will help to the study of disaster prevention and disaster mitigation of civil constructions.
Based on the traditional spherical discrete element method(DEM),a kind of bonding type discrete element model(BTDEM) was established,and applied to the simulation of the breakage and collapse of masonry structures.The breakage and collapse of a kind of typical masonry structure was simulated by BTDEM in this paper,and the simulation results show that the details of the collapse of the masonry structure,even the breakage of building blocks,all can be predicted by the new method.The simulation case shows that the BTDEM is a kind of high efficient numerical method for simulating masonry structures.The BTDEM has the advantages of higher computational efficiency and easy computing on large scales,and the method can be expanded to be used in the simulation and analysis of the breakage and collapse of masonry-infilled frame structures.The application of the method on the dynamic cataclysm of buildings will help to the study of disaster prevention and disaster mitigation of civil constructions.
引文
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[11]赵永志,程易,郑津洋.三方程线性弹性-阻尼DEM模型及碰撞参数确定[J].计算力学学报,2009,26(4):239-244.(ZHAO Yong-zhi,CHENG Yi,ZHENG Jin-yang.Three-equation linear spring-dash-pot DEM model and the determination of contact pa-rameters[J].Chinese Journal of Computational Me-chanics,2009,26(4):239-244.(in Chinese))
[2]朱伯龙,金国芳.“混用体系”中型砌块墙片有限元弹塑性分析[J].同济大学学报,1994,22(1):1-6.(ZHU Bo-long,JIN Guo-fang.Finite element analy-sis of mixed block masonry system with middle sizeblocks[J].Journal of Tongji University,1994,22(1):1-6.(in Chinese))
[3]Chetouane B,Dubois F,Vinches M,et al.NSCDdiscrete element method for modeling masonry struc-tures[J].International Journal for Numerical Meth-ods in Engineering,2005,64:65-94.
[4]Rafiee A,Vinches M,Bohatier C.Application of theNSCD method to analyse the dynamic behaviour ofstone arched structures[J].International Journal ofSolids and Structures,2008,45:6269-6283.
[5]彭斌,顾祥林,苗吉军,等.砌体结构倒塌反应的图形仿真技术[J].同济大学学报,2004,32(10):1304-1309.(PENG Bin,GU Xiang-lin,MIAO Ji-jun,ZHANG Wei-ping.Graphic simulation technologyfor collapse response analysis of masonry structures[J].Journal of Tongji University,2004,32(10):1304-1309.(in Chinese))
[6]苗吉军,顾祥林,张伟平,等.地震作用下砌体结构倒塌反应的数值模拟计算分析[J].土木工程学报,2005,38(9):45-52.(MIAO Ji-jun,GU Xiang-lin,ZHANG Wei-ping,et al.Numerical simulation anal-ysis for the collapse response of masonry structuresunder earthquakes[J].China Civil EngineeringJournal,2005,38(9):45-52.(in Chinese))
[7]Furukawa A,Ohta Y.Failure process of masonrybuilding during earthquake and associated casualtyrisk evaluation[J].Natural Hazards,2009,49:25-51.
[8]Tóth A R,Orbán Z,Bagi K.Discrete element analy-sis of a stone masonry arch[J].Mechanics ResearchCommunications,2009,36:469-480.
[9]Cundall P A,Strack O D L.A discrete numericalmodel for granular assemblies[J].Geotechnique,1979,29:47-65.
[10]Cundall P A.Formulation of a three-dimensional dis-tinct element model.Part I:a scheme to detect andrepresent contacts in a system composed of many pol-yhedral blocks[J].International Journal of RockMechanics and Mining Sciences,1988,25:107-116.
[11]赵永志,程易,郑津洋.三方程线性弹性-阻尼DEM模型及碰撞参数确定[J].计算力学学报,2009,26(4):239-244.(ZHAO Yong-zhi,CHENG Yi,ZHENG Jin-yang.Three-equation linear spring-dash-pot DEM model and the determination of contact pa-rameters[J].Chinese Journal of Computational Me-chanics,2009,26(4):239-244.(in Chinese))
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