Proposal of rate-dependent friction model based on internal variable and its application to FE analysis

这项研究的目的是提出一种分析粘滑运动的数值方法，该方法基于采用与摩擦相关的摩擦模型的有限元方法。首先，我们提出了基于弹塑性公式的率相关摩擦模型。然后，我们通过与不同材料和动态条件下的实验结果进行比较，验证了速率相关摩擦模型的能力。然后，对包括粘滑运动在内的率相关摩擦滑移行为进行了有限元分析，考察了材料和几何性质以及边界条件对数值结果的影响。这种数值方法不仅可以考虑摩擦和材料的性质，而且可以考虑边界条件的变化。

The aim of this study is to propose a numerical approach for analyzing stick-slip motion; the approach is based on the finite element method implemented using arate-dependent friction model. First, we propose the rate-dependent friction model based on the elastoplastic formulation. We then demonstrate the capability of the rate-dependent friction model by comparing its results with experimental results obtained under various material and dynamicconditions. Then, a finite element analysis of rate-dependent frictional sliding behavior, includingstick-slip motion, is carried out to examine the effect of the material and geometric properties andboundary conditions on the numerical results. The present numerical approach can consider not only the properties of friction and materials but also variations in boundary conditions.