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势函数离散单元法在接触力计算中存在势函数物理意义不明确、接触力计算与客观实际不符等重大缺陷。在已有研究的基础上,提出一种新型任意形状块体距离势离散单元法。该方法将势函数定义为接触体间归一化的距离函数,可以客观衡量单元间的嵌入程度,具有明确的物理意义,真实反映单元的接触刚度,使法向接触力计算更为合理。此外,新方法重新定义了切向方向矢量,提出切向接触力计算方法。新方法保留原势函数法所有优点,同时完善接触力计算受单元形式影响的不足,并突破三角形单元的限制,能够应用于任意凸多边形单元。通过若干算例说明新方法的正确性和有效性,可用于精确描述复杂非连续介质的运动过程。
Discrete element method of potential function has some shortcomings such as ambiguous physical meaning of potential function and inconsistent calculation of contact force with objective reality in contact force calculation. Based on the existing research, a new method of distance discrete element method for arbitrary shape block is proposed. In this method, the potential function is defined as the normalized distance function between contacts, which can objectively measure the degree of inter-cell embedding, have a clear physical meaning, and reflect the contact stiffness of the cell in a real sense, so that the normal contact force calculation is more reasonable. In addition, the new method redefined the tangential direction vector and proposed the method of calculating the tangential contact force. The new method retains all the advantages of the original potential function method and improves the contact force calculation by the impact of the element form, and break through the triangular unit constraints, can be applied to arbitrary convex polygon elements. The correctness and validity of the new method are illustrated by several examples, which can be used to accurately describe the motion of complex non-continuous media.