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Numerical treatment of frictional contact in ALE formulation for disc brake assemblies

机译：圆盘制动组件的ALE配方中摩擦接触的数值处理

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The Arbitrary-LAGRANGIAN-EULERIAN (ALE) formulation is a popular approach for finite element (FE) models governed by large rigid body movement. It facilitates the decomposition of guiding motions and relative deformation inside the model by considering the main motion of the system in the form of a material flow inside the FE mesh. This way, similar to fluid dynamics, an observer focused on spatial positions rather than individual material particles is introduced. Among others, this approach serves as an established tool in the simulation of tire rolling contact and its dynamics. However, while allowing for specific mesh refinement and simplifying issues such as finite displacements due to rigid body motions, it complicates contact computations. The history of contacting particles is not inherently tracked, demanding a special treatment of their relative displacement for evaluating their frictional contact state. The handling of stationary problems in this context is well-studied for the examples of elastic-rigid rolling contact, including inelastic material properties and thermo-mechanical coupling. This work attends to the remaining area of frictional contact in transient ALE problems and extends the methods towards elastic-elastic contact coupling in a three dimensional framework. To this end, classic Zero-Thickness contact elements, whose application in these surroundings is enabled by the relative kinematic ALE framework in the first place, are extended towards ALE compatibility. The proposed approach involves a slip-based contact formulation including inelastic slip variables and is applied in the field of disc brake assemblies. In here, several stationary and transient studies of emerging contact patterns and limit cycles are accomplished, outlining the capabilities of the proposed implementation.
机译：Armatrary-Lagrangian-Eulerian（Ale）制定是由大刚体运动控制的有限元（FE）模型的流行方法。通过考虑系统的主要运动以Fe网内的材料流动的形式，它通过考虑系统的主要运动来促进模型内的引导动作和相对变形的分解。这种方式类似于流体动力学，引入了聚焦在空间位置而不是单独的材料颗粒上的观察者。其中，这种方法是在模拟轮胎滚动接触和动态的既定工具。然而，同时允许特定的网格细化和简化由于刚体运动引起的有限位移的问题，同时使接触计算变得复杂化。接触颗粒的历史并不固有地跟踪，要求特殊处理它们的相对位移，以评估其摩擦接触状态。在这种情况下处理静止问题的处理对于弹性刚性滚动触头的示例，包括绝体材料性能和热机械耦合。这项工作参加了瞬态ALE问题中的摩擦接触的剩余区域，并在三维框架中扩展了朝向弹性弹性接触联轴器的方法。为此，其在这些周围环境中的应用的经典零厚度接触元件首先通过第一个位置的相对运动架框架使能，朝向ALE兼容性延伸。所提出的方法涉及一种基于滑动的触点配方，包括非弹性滑移变量，并应用于盘式制动组件的领域。在此，完成了几种静止和瞬态研究，具有新出现的接触模式和极限循环，概述了所提出的实施的能力。

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