Presentation at the International Workshop Contact Mechanics and Friction held at the Technical University of Berlin. The goal of the workshop is to review recently established concepts, tools and research activities in the area of contact mechanics and tribology, and to outline the most important tasks for the future.
FFT-based Boundary Element Method for arbitrary shapes
The FFT-based Boundary Element Method is a highly efficient method for the calculation of deformations and stresses of a half-space surface and has become a standard tool in the field of contact mechanics in recent years. However, the technique is restricted to the half-space approximation. In this work, a numerical approach will be presented which aims for the same computational complexity as the FFT-based Boundary Element Method but is not restricted to the half-space and can instead be applied to completely arbitrary shapes. In addition to a low computational complexity, the technique which will be proposed retains the Boundary Element approach, with few degrees of freedom and simple meshing. Also, it retains the FFT at its core, allowing simple parallelization. Yet, the increased versatility of the method still comes at a certain computational cost and involves numerical challenges. These will also be shown and discussed.
An arbitrary shape enclosed with a variable grid for the application of the FFT