摘要
将颗粒当作可变形的圆盘,利用最小势能原理推导了圆形颗粒系统的初始应力矩阵、惯性力子矩阵。用精确的位移公式修正了原一阶近似位移公式。编写了非刚性圆盘颗粒的不连续变形分析(DDA)程序,并以圆球在斜面上光滑下滑和有摩擦下滑的算例验证了程序的正确性。
Round granules were considered as deformable disks in discontinuous deformation analysis(DDA). The sub-matrices of initial stresses and inertial forces of the granular system were achieved through minimization of the total potential energy,which makes a supplement to the relevant literatures. With the precise displacement formula,the disk displacement description was modified. A program for the non-rigid disk-based DDA was developed. The validity and capability of the program are demonstrated by the examples of a disk on a slope with or without friction considered.
出处
《应用数学和力学》
CSCD
北大核心
2014年第S1期181-185,共5页
Applied Mathematics and Mechanics
基金
长江科学院开放研究基金(CKWV2014206/KY)
关键词
不连续变形分析
颗粒介质
接触模型
罚函数法
discontinuous deformation analysis
granular material
contact model
penalty function method
