Abstract Friction influences the formability in sheet metal forming processes. It depends on the local contact condition between tool and sheet metal. Therefore, precise estimation of real area of contact is the first step for an accurate prediction of friction. In this study, a multi-scale contact model is developed to predict deformation of asperities on a rough uncoated and coated surfaces under normal load. The model accounts for the coating thickness and material behavior of coating and substrate. Finite element simulations are performed to determine the contact pressure of single asperities of different sizes. These are used to determine the real area of contact. The model is validated relative to the experiments performed on uncoated and zinc coated steel sheets.

中文翻译：

---

确定涂层板在正常载荷下的压扁行为的半解析接触模型

摘要 摩擦影响钣金成形过程中的成形性。这取决于工具和钣金之间的局部接触条件。因此，精确估计实际接触面积是准确预测摩擦的第一步。在这项研究中，开发了一个多尺度接触模型来预测在正常载荷下粗糙的未涂层和涂层表面的凹凸变形。该模型考虑了涂层和基材的涂层厚度和材料行为。执行有限元模拟以确定不​​同尺寸的单个凹凸不平的接触压力。这些用于确定实际接触区域。该模型相对于在未涂层和镀锌钢板上进行的实验进行了验证。