Single Level Fast Multipole Method for frictionless rough contact problems
Year: 2024
Type: article
Abstract: In nature and industrial applications, a perfectly smooth contact surface does not exist. Even a body, that seems perfectly smooth tothe naked eye, will show surface roughness at a higher magnification. Due to the surface roughness, there are areas of contact andseparation, which increases the complexity of the contact calculation. However, this computational complexity increases furtherwhen studying the rolling tyre/road contact problem, due to the time variation of contact points and the relatively large contact area.To reduce the computational complexity of this contact problem, the Single Level Fast Multipole Method (SLFMM) is developedwithin this paper. The contact problem is based on Boussinesq’s contact theory and for the time being the influence of frictionand motion are neglected. To validate the accuracy and reduction in computational complexity, the SLFMM was applied to roughsurfaces of different complexities and compared to a reference method. Additionally, the computational time was reduced further byincreasing the convergence criteria between the iterations. Results indicate that the new method computes the pressure distributionand displacement accurately, with a global error of less than 1%. Overall, the Single Level FMM computed the results faster thanthe reference method. These results demonstrate that the Fast Multipole Method meets the requirements of accuracy and acceleratedcomputation for rough contact problems.
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,280
OpenAlex ID: W4404396667