固体DEM模拟的弹性键矢量模型
Vector-based model of elastic bonds for DEM simulation of solids
摘要：
本文提出了一种新的计算机模拟由粘结刚体颗粒组成的固体的模型。与质点刚性连接的矢量用于描述单键的形变。提出了键的势能表达式和相应的力和力矩表达式。推导了模型连接参数与粘结剂纵向、剪切、弯曲和扭转刚度的关系式。结果表明，该模型可以准确地描述任何值的债券刚度。根据键长/厚度比提出了两种不同的校准程序。结果表明，可以选择模型的参数，使小变形下的键是等效的Bernoulli-Euler杆或Broschenko杆或短圆柱连接粒子。导出了V型模型参数与键合几何特性和力学特性的简单表达式。对离散直杆和半球壳的动力屈曲进行了计算机模拟。
英文摘要：
A new model for computer simulation of solids, composed of bonded rigid body particles, is proposed. Vectors rigidly connected with particles are used for description of deformation of a single bond. The expression for potential energy of the bond and corresponding expressions for forces and moments are proposed. Formulas, connecting parameters of the model with longitudinal, shear, bending and torsional stiffnesses of the bond, are derived. It is shown that the model allows to describe any values of the bond stiffnesses exactly. Two different calibration procedures depending on bond length/thickness ratio are proposed. It is shown that parameters of model can be chosen so that under small deformations the bond is equivalent to either Bernoulli-Euler rod or Timoshenko rod or short cylinder connecting particles. Simple expressions, connecting parameters of V-model with geometrical and mechanical characteristics of the bond, are derived. Computer simulation of dynamical buckling of the straight discrete rod and half-spherical shell is carried out.
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