【摘要】 离散元方法是近年发展起来的一种新数值方法,但原则上只能用于动态问题。从静力平衡条件出发建立了离散元系统的准静态演化方程并证明了系数矩阵具有对称正定、稀疏、带状分布等特点,适用于"有效列"方法求解,该解法比高斯消去法节省更多的内存和机时。通过引入广义Maxwell体的元间作用模型建立起线性粘弹性材料准静态响应的离散元模拟方法。该方法独立于传统动态离散元方法,是传统动态离散元方法的拓展,可望在更多领域获得应用。更多还原

【Abstract】 Discrete Element Method (DEM) is one of the new\|concept numerical methods developed in recent years. which is applied to the dynamic problems in principle. Based on the static equilibrium conditions, the quasi\|static equations have been settled for discrete element system in this paper, and proved that the coefficient matrix of the equations is symmetric, positive defined, rare, and stripe distributed. An"active column method"is used for saving more RAM and calculation time than Gaussian method. By introducing the generalizedMaxwell model for the interaction between neighboring element pairs, the DEM method for simulating quasi\|static responses of linear viscoelactic materials has been established. The quasi\|static DEM is independent upon the traditional DEM, which is a supplement and development of traditional DEM. It will have more applications.更多还原