基于数值流形元法的混凝土力学特性数值试验
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摘要
从混凝土细观结构出发,假定混凝土由砂浆、骨料界面组成的多相复合材料,以试验为基础赋予各相材料的参数模拟加载过程中从细观到宏观的力学响应。考虑各相组分的非均匀性,借助蒙特卡罗方法和Fuller级配公式,产生随机骨料模型。扩展后的二阶流形元法,可以模拟混凝土受力、变形和破坏的全过程,可以追踪多裂隙的扩展,裂缝闭合后的压剪。开裂面可利用应力结果自动搜索,而不必人为预设。利用改进的流形元进行混凝土力学特性数值试验的模拟研究,再现了混凝土单轴受压、受拉试验在不同加载阶段微裂缝产生、扩展直至破坏的过程,及其宏观应力-应变曲线的变化情况。数值模拟结果与试验统计结果相符。
In order to reflect the heterogeneity of concrete at mesoscopic level and simulate the mechanics response from the mesoscopic level to macroscopical level in the course of load,the random aggregate model is developed by means of the Monte Carlo method and Fuller Graded Formula with the assumption that the concrete is a multi-phase composite material composed of matrix,and the material parameters are defined based on the test.The Numerical Manifold Method NMM introduced in the present paper can not only correctly simulate the stress,deformation and failure of concrete,but also simulate the expansion of multi-crack in the concrete,and failure plane growth can be searched by stress results automatically,so it can simulate such high discontinuous problems very well.Further more,NMM is adopted to simulate the tests of concrete mechanical performance.The creation,expansion and fracture process of cracks in axial tensile,compression of concrete are simulated numerically.The computational results are in good agreement with the experimental data.
In order to reflect the heterogeneity of concrete at mesoscopic level and simulate the mechanics response from the mesoscopic level to macroscopical level in the course of load,the random aggregate model is developed by means of the Monte Carlo method and Fuller Graded Formula with the assumption that the concrete is a multi-phase composite material composed of matrix,and the material parameters are defined based on the test.The Numerical Manifold Method NMM introduced in the present paper can not only correctly simulate the stress,deformation and failure of concrete,but also simulate the expansion of multi-crack in the concrete,and failure plane growth can be searched by stress results automatically,so it can simulate such high discontinuous problems very well.Further more,NMM is adopted to simulate the tests of concrete mechanical performance.The creation,expansion and fracture process of cracks in axial tensile,compression of concrete are simulated numerically.The computational results are in good agreement with the experimental data.
引文
[1]马怀发,陈厚群,黎保琨.混凝土细观力学研究进展及评述[J].中国水利水电科学研究院学报,2004,2( 2):124-130.
[2]朱万成,唐春安,滕锦光,等.混凝土细观力学性质对宏观断裂过程影响的数值试验[J].三峡大学学报( 自然科学版),2004,2(1):22-26.
[3]于庆磊,唐春安,朱万成,等.基于数字图像的混凝土破坏过程的数值模拟[J].工程力学,2008,25(9):7 2-78.
[4]马怀发,陈厚群.全级配大坝混凝土动态损伤破坏机理研究及其细观力学分析方法[M].北京:中国水利水 电出版社,2008.
[5]石根华.数值流形方法与非连续变形分析[M].裴觉民译.北京:清华大学出版社,1997.
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[7]张国新,彭静.二阶流形元与结构变形分析[J].力学学报,2002,34(2):261-269.
[8]张国新,金峰,王光纶.用基于流形元的子域奇异边界元法模拟重力坝的地震破坏[J].工程力学,2001,1 8(4):18-27.
[9]张国新,赵妍,等.考虑岩桥断裂的岩质边坡倾倒破坏的流形元模拟[J].岩石力学与工程学报,2007,9:1 773-1780.
[10]张国新,赵妍,石根华,等.模拟岩石边坡倾倒破坏的数值流形法[J].岩土工程学报,2007,29(6):8 00-805.
[2]朱万成,唐春安,滕锦光,等.混凝土细观力学性质对宏观断裂过程影响的数值试验[J].三峡大学学报( 自然科学版),2004,2(1):22-26.
[3]于庆磊,唐春安,朱万成,等.基于数字图像的混凝土破坏过程的数值模拟[J].工程力学,2008,25(9):7 2-78.
[4]马怀发,陈厚群.全级配大坝混凝土动态损伤破坏机理研究及其细观力学分析方法[M].北京:中国水利水 电出版社,2008.
[5]石根华.数值流形方法与非连续变形分析[M].裴觉民译.北京:清华大学出版社,1997.
[6]Zhang G X,Yasuhito Sugiura,Kozo Saito.Failure Simulation of Foundation by Manifold Method and Comparisonw ith Experimen[tJ].Journal of Applied Mechaics,JSCE,1998,1:427-436.
[7]张国新,彭静.二阶流形元与结构变形分析[J].力学学报,2002,34(2):261-269.
[8]张国新,金峰,王光纶.用基于流形元的子域奇异边界元法模拟重力坝的地震破坏[J].工程力学,2001,1 8(4):18-27.
[9]张国新,赵妍,等.考虑岩桥断裂的岩质边坡倾倒破坏的流形元模拟[J].岩石力学与工程学报,2007,9:1 773-1780.
[10]张国新,赵妍,石根华,等.模拟岩石边坡倾倒破坏的数值流形法[J].岩土工程学报,2007,29(6):8 00-805.
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