基于扩展Lagrange乘子的Clough接触面模型及应用

Clough contact model based on the augmented Lagrangian multiplier and its application

双曲线接触面本构模型能比较真实地模拟堆石材料与混凝土面板间的接触关系,扩展Lagrange乘子法能比较精确地计算接触面间接触状态。在吸取Clough双曲线接触面本构关系应用于无厚度的Goodman单元和有厚度的Desai薄层单元的成功经验的基础上,将Clough双曲线接触面模型引入扩展Lagrange乘子法进行摩擦接触问题的求解。介绍了基于扩展Lagrange乘子法的序列二次规划法(SQP)提法,详细推导了在扩展Lagrange算法的非线性接触计算中引入Clough双曲线接触面本构关系的数值列式和实施步骤。数值算例和工程实例的计算结果证明该方法是成功的,能够比较真实地模拟堆石-混凝土墙(混凝土面板)之间的接触状态。

The contact relations between rockfill and concrete can be simulated truly by Clough hyperbola constitutive model, and the contact state can also be simulated by augmented Lagrangian multiplier algorithm accurately. Clough hyperbola constitutive model has been applied on jointed element with no thickness and Desai interface element with thickness successfully. Those merits and success experiences are absorbed and combined to be applied on solution of contact friction problem. Sequential quadratic programming method （SQP） is introduced based on augmented Lagrangian multiplier contact algorithm in the same time. Numerical algorithm and implementing steps that Clough hyperbola constitutive model is inducted into augmented Lagrangian multiplier contact algorithm are derived in detail. The computation results of numerical example and the project example show that the stress and deformation state between contact surfaces can be simulated truly with the method.