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本文提出了一种用于分析三维非线性接触问题的新模型.该模型以结点位移和接触应力作为基本未知量,考虑了三种接触条件:固定、滑动和张开,能模拟具有初始裂缝和无初始裂缝的两物体间的摩擦滑动、张开和闭合.基于增量形式的有限元法,建立了接触摩擦问题的等效单元刚度-约束矩阵和等效结点荷载向量.计算中,可用标准的有限元集成规则将其分别叠加到总刚度矩阵和总荷载向量中,因而具有计算简单,程序设计容易的优点.文中还给出了两个算例.
This paper presents a new model for the analysis of three-dimensional nonlinear contact problems. The model takes the joint displacement and contact stress as basic unknowns. Three contact conditions are considered: fixed, sliding, and open, and the initial crack can be simulated. Frictional sliding, opening and closing between two objects without initial cracks. Based on the incremental finite element method, the equivalent element stiffness-constraint matrix and the equivalent node load vector for the contact friction problem are established. The standard finite element integration rules can be used to superimpose them into the total stiffness matrix and the total load vector respectively, which has the advantages of simple calculation and easy program design. Two examples are given in the paper.