物质点法在椭圆骨料混凝土损伤模拟中的应用
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摘要
为研究混凝土结构的宏观力学响应及损伤行为,应用物质点法这一新型数值方法对椭圆骨料混凝土进行数值模拟研究。基于蒙特卡罗模拟方法,考虑混凝土的细观结构,提出了一种构建随机椭圆骨料混凝土细观几何模型的方法。在该几何模型的基础上,进一步提出一种快速建立混凝土细观物质点模型的方法。分别以弹塑性损伤本构模型和弹性本构模型模拟砂浆和骨料的力学行为,采用开发的物质点法程序对混凝土数值模型进行了单轴拉伸及单轴压缩数值试验。结果表明,物质点法模拟所得的结果与设计规范及有限元结果相近。可见,物质点法为混凝土结构损伤行为的数值模拟提供了一条可行的途径。
In order to study the macro mechanical response and damage behaviors of concrete structures, the material point method(MPM) was applied to numerical simulation of elliptical aggregate concrete. Based on the Monte Carlo simulation method and considering the mesostructure of concrete, a method of constructing the meso-geometric model of concrete with random elliptical aggregate was proposed. Then, on the basis of the geometric model, a method of fast establishing the meso-material point model of concrete was proposed. The mechanical behaviors of mortar and aggregate were simulated by elastoplastic damage constitutive model and elastic constitutive model respectively. The numerical model of concrete under uniaxial tension and uniaxial compression was tested by the material point method program. The results show that the simulation results obtained by the material point method were similar with those obtained by the design code and the finite element method. It can be seen that the material point method provides a feasible way for numerical simulation of damage behavior of concrete structures.
In order to study the macro mechanical response and damage behaviors of concrete structures, the material point method(MPM) was applied to numerical simulation of elliptical aggregate concrete. Based on the Monte Carlo simulation method and considering the mesostructure of concrete, a method of constructing the meso-geometric model of concrete with random elliptical aggregate was proposed. Then, on the basis of the geometric model, a method of fast establishing the meso-material point model of concrete was proposed. The mechanical behaviors of mortar and aggregate were simulated by elastoplastic damage constitutive model and elastic constitutive model respectively. The numerical model of concrete under uniaxial tension and uniaxial compression was tested by the material point method program. The results show that the simulation results obtained by the material point method were similar with those obtained by the design code and the finite element method. It can be seen that the material point method provides a feasible way for numerical simulation of damage behavior of concrete structures.
引文
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[2] Wang Z M,Kwan A K H,ChanH H C.Mesoscopic study of concrete I:Generation of random aggregate structure and finite element mesh[J].Computers and Structures,1999,70(5):533-544.
[3] Ma H F,Xu W X,Li Y C.Random aggregate model for mesoscopic structures and mechanical analysis of fully-graded concrete[J].Computers and Structures,2016,177:103-113.
[4] 杨华,李宗利,惠弘毅.基于随机骨料模型的混凝土弹性模量预测研究[J].长江科学院院报,2016,33(2):100-105.
[5] Xu Y,Chen S H.A method for modeling the damage behavior of concrete with a three-phase mesostructure[J].Construction and Building Materials,2016,102:26-38.
[6] Omidi O,Lotfi V.Finite Element Analysis of Concrete Structures Using Plastic-Damage Model in 3-D Implementation[J].International Journal of Civil Engineering,2010,8(3):187-203.
[7] 许叶帅.考虑骨料形状的混凝土细观模型研究[D].南京:东南大学,2017.
[8] 周尚志.混凝土动静力破坏过程的数值模拟及细观力学分析[D].西安:西安理工大学,2007.
[9] Nguyen V P.Material point method basics and applications[D].Wales:Cardiff University,2014.
[10] 吴金国,林庆华,弯港,等.基于物质点法的轨道炮刨削机理三维数值研究[J].爆炸与冲击,2017,37(2):307-314.
[11] 张雄,刘岩,张帆,等.极端变形问题的物质点法研究进展[J].计算力学学报,2017,34(1):1-16.
[12] 王斌,冯夏庭,潘鹏志,等.物质点法在边坡稳定性评价中的应用研究[J].岩石力学与工程学报,2017,36(9):2416-2155.
[13] 张巍,史卜涛,施斌,等.土质滑坡运动全过程物质点法模拟及其应用[J].工程地质学报,2017,26(3):815-823.
[14] Ren W Y,Yang Z J,Rajneesh S,et al.Two-dimensional X-ray CT image based meso-scale fracture modelling of concrete[J].Engineering Fracture Mechanics,2015,133:24-39.
[15] Henry M,Darma I S,Sugiyama T.Analysis of the effect of heating and recuring on the microstructure of high-strength concrete using X-ray CT[J].Construction and Building Materials,2014,67:37-46.
[16] Homel M A,Herbold E B.Field-gradient partitioning for fracture and frictional contact in the material point method[J].International Journal for Numerical Methods in Engineering,2017,109(7):1013-1044.
[17] 常晓林,马刚,刘杏红.基于复合屈服准则的混凝土塑性损伤模型[J].四川大学学报(工程科学版),2011,43(1):1-7.
[18] 张巍,肖明,范国邦.大型地下洞室群围岩应力-损伤-渗流耦合分析[J].岩土力学,2008,29(7):1813-1818.
[19] Franttziskonis G,Desai C S.Constitutive model with strain softening[J].International Journal of Solids Structures,1987,23(6):733-750.
[20] 混土结构设计规范:GB50010-2010 [S].北京:中国建筑工业出版社,2011.