A framework for the analysis of fully coupled normal and tangential contact problems with complex interfaces

Fuente: arXiv
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Main Authors: Bonari, Jacopo, Paggi, Marco, Reinoso, José
Format: Preprint
Published: 2021
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author Bonari, Jacopo
Paggi, Marco
Reinoso, José
author_facet Bonari, Jacopo
Paggi, Marco
Reinoso, José
contents An extension to the interface finite element with eMbedded Profile for Joint Roughness (MPJR interface finite element) is herein proposed for solving the frictional contact problem between a rigid indenter of any complex shape and an elastic body under generic oblique load histories. The actual shape of the indenter is accounted for as a correction of the gap function. A regularised version of the Coulomb friction law is employed for modeling the tangential contact response, while a penalty approach is introduced in the normal contact direction. The development of the finite element (FE) formulation stemming from its variational formalism is thoroughly derived and the model is validated in relation to challenging scenarios for standard (alternative) finite element procedures and analytical methods, such as the contact with multi-scale rough profiles. The present framework enables the comprehensive investigation of the system response due to the occurrence of tangential tractions, which are at the origin of important phenomena such as wear and fretting fatigue, together with the analysis of the effects of coupling between normal and tangential contact tractions. This scenario is herein investigated in relation to challenging physical problems involving arbitrary loading histories.
format Preprint
id arxiv_https___arxiv_org_abs_2110_07932
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle A framework for the analysis of fully coupled normal and tangential contact problems with complex interfaces
Bonari, Jacopo
Paggi, Marco
Reinoso, José
Soft Condensed Matter
Computational Engineering, Finance, and Science
Numerical Analysis
An extension to the interface finite element with eMbedded Profile for Joint Roughness (MPJR interface finite element) is herein proposed for solving the frictional contact problem between a rigid indenter of any complex shape and an elastic body under generic oblique load histories. The actual shape of the indenter is accounted for as a correction of the gap function. A regularised version of the Coulomb friction law is employed for modeling the tangential contact response, while a penalty approach is introduced in the normal contact direction. The development of the finite element (FE) formulation stemming from its variational formalism is thoroughly derived and the model is validated in relation to challenging scenarios for standard (alternative) finite element procedures and analytical methods, such as the contact with multi-scale rough profiles. The present framework enables the comprehensive investigation of the system response due to the occurrence of tangential tractions, which are at the origin of important phenomena such as wear and fretting fatigue, together with the analysis of the effects of coupling between normal and tangential contact tractions. This scenario is herein investigated in relation to challenging physical problems involving arbitrary loading histories.
title A framework for the analysis of fully coupled normal and tangential contact problems with complex interfaces
topic Soft Condensed Matter
Computational Engineering, Finance, and Science
Numerical Analysis
url https://arxiv.org/abs/2110.07932