The Mohr stress circle for three-dimensional stress is usually determined by equations,which is lack of intuitionistic meanings and difficult to understand. In this paper, the construction of Mohr stress circle is ill...The Mohr stress circle for three-dimensional stress is usually determined by equations,which is lack of intuitionistic meanings and difficult to understand. In this paper, the construction of Mohr stress circle is illustrated directly by numerical method. The shortcoming of Mohr stress circle in representing the stress components on different oblique planes for three-dimensional stress is analyzed. A three-dimensional figure is given to describe the variation of normal and shear stress on different oblique planes at one point for the first time.展开更多
离散单元法(discrete element method,DEM)数值仿真中,孔隙率场已用于观测剪切带宽度,观测剪切带宽度有助于理解剪切带宽度与颗粒特性的关系。孔隙率场可由测量圆测得,但测量圆半径通常按经验确定。针对测量圆半径定义缺乏理论和数值研...离散单元法(discrete element method,DEM)数值仿真中,孔隙率场已用于观测剪切带宽度,观测剪切带宽度有助于理解剪切带宽度与颗粒特性的关系。孔隙率场可由测量圆测得,但测量圆半径通常按经验确定。针对测量圆半径定义缺乏理论和数值研究等问题,开展了孔隙率测量精度与测量圆半径关系的研究。提出基于孔隙率场的“1/2宽度估算法”和“1/2曲率极值法”,将其应用于直剪和双轴压缩试验的剪切带宽度测量,并将测量结果与转角法和网格法测量结果进行了对比。DEM数值研究结果表明:提出的方法能够用于量测直剪试验和双轴压缩试验中的剪切带宽度;直剪试验中剪切带宽度随粒径增大而逐渐增大;因为试样的非对称和不均匀性,双轴压缩试验的X形剪切带中的两条剪切带宽度不相等,且剪切带随轴向加载过程逐渐变宽。展开更多
In this paper,we apply the three circle type method and a Hardy type inequality to a nonlinear Dirac type equation on surfaces,and provide alternative proofs to the energy quantization results.
文摘The Mohr stress circle for three-dimensional stress is usually determined by equations,which is lack of intuitionistic meanings and difficult to understand. In this paper, the construction of Mohr stress circle is illustrated directly by numerical method. The shortcoming of Mohr stress circle in representing the stress components on different oblique planes for three-dimensional stress is analyzed. A three-dimensional figure is given to describe the variation of normal and shear stress on different oblique planes at one point for the first time.
文摘离散单元法(discrete element method,DEM)数值仿真中,孔隙率场已用于观测剪切带宽度,观测剪切带宽度有助于理解剪切带宽度与颗粒特性的关系。孔隙率场可由测量圆测得,但测量圆半径通常按经验确定。针对测量圆半径定义缺乏理论和数值研究等问题,开展了孔隙率测量精度与测量圆半径关系的研究。提出基于孔隙率场的“1/2宽度估算法”和“1/2曲率极值法”,将其应用于直剪和双轴压缩试验的剪切带宽度测量,并将测量结果与转角法和网格法测量结果进行了对比。DEM数值研究结果表明:提出的方法能够用于量测直剪试验和双轴压缩试验中的剪切带宽度;直剪试验中剪切带宽度随粒径增大而逐渐增大;因为试样的非对称和不均匀性,双轴压缩试验的X形剪切带中的两条剪切带宽度不相等,且剪切带随轴向加载过程逐渐变宽。
基金supported in part by the Innovation Program of Shanghai Municipal Education Commission(2021-01-07-00-02-E00087)the National Natural Science Foundation of China(12171314)+2 种基金the Shanghai Frontier Science Center of Modern Analysispartially supported by STU Scientific Research Initiation Grant(NTF23034T)supported in part by the National Natural Science Foundation of China(12101255)。
文摘In this paper,we apply the three circle type method and a Hardy type inequality to a nonlinear Dirac type equation on surfaces,and provide alternative proofs to the energy quantization results.
