Rate and State Friction; Contact Mechanics; Boundary Element Method; Microcontacts; Finite Element Method; Surface Roughness
Frérot Lucas, Bonnet Marc, Molinari Jean-Francois, Anciaux Guillaume (2019), A Fourier-Accelerated Volume Integral Method for Elastoplastic Contact, in
Computer Methods in Applied Mechanics and Engineering, 351, 951-976.
Brener E.A., Aldam M., Barras F., Molinari J. F., Bouchbinder E. (2018), Unstable Slip Pulses and Earthquake Nucleation as a Non-Equilibrium First-Order Phase Transition, in
Physical Review Letters, 121(23), 234302.
Barras Fabian, Carpaij René, Geubelle Philippe H., Molinari Jean-Franç cois (2018), Supershear Bursts in the Propagation of a Tensile Crack in Linear Elastic Material, in
Physical Review E, 98(6), 063002-063002.
Frérot Lucas, Aghababaei Ramin, Molinari Jean-Francois (2018), A Mechanistic Understanding of the Wear Coefficient: From Single to Multiple Asperities Contact, in
Journal of the Mechanics and Physics of Solids, 114, 172-184.
Barras Fabian, Geubelle Philippe H., Molinari Jean-Francois (2017), Interplay between Process Zone and Material Heterogeneities for Dynamic Cracks, in
Physical Review Letters, 119(14), 144101-144101.
Barras Fabian, Aldam Michael, Roch Thibault, Brener Efim A., Bouchbinder Eran, Molinari Jean-Francois, The Emergence of Crack-like Behavior of Frictional Rupture: The Origin of Stress Drops, in
Physical Review X.
The Mindlin Fundamental Solution - A Fourier Approach
| Author |
Frérot, Lucas |
| Publication date |
20.11.2018 |
| Persistent Identifier (PID) |
10.5281/zenodo.1492149 |
| Repository |
zenodo
|
| Abstract |
This notebook describes the process of derivation of the (Mindlin, 1936) fundamental solution in a hybrid Fourier/physical space, convenient for the half-space nature of the solution and numerical application of the Mindlin tensor via a Fast-Fourier Transform (FFT).
Friction is all around us. It is present in virtually all engineering applications, and we experience it at the large scale during earthquakes. Perhaps surprisingly, our fundamental comprehension of friction mechanisms remains quite limited. Science has made significant progress at understanding some of the molecular mechanisms resulting in energy dissipation and friction at contacting asperities. However, the disconnection between the atomic and the macroscopic scales results in engineering models that are often based on mere fit parameters. An example is provided by rate-and-state friction laws, which describe the non-instantaneous response of the friction coefficient due to sudden changes of the sliding velocity or the contact pressure. These models rely on characteristic time-scale or length-scale parameters, the latter being loosely and empirically associated to the size of micro contacts, which develop when rough surfaces are pressed upon one another. In order to improve our current engineering description of friction and to predict or tune the frictional behavior of surfaces, models linking microscopic characteristics of rough surfaces to their engineering-scale properties are in dire need.Using the strengths of the PIs in mechanics of solids and numerical modeling, the key objective of this research is to bridge the gap between microscopic and engineering scales by focusing on the often overlooked scale at which contacting asperities interact and adapt to their environment. We call it the mesoscale. Within an efficient continuum mechanics framework in conjunction to high-performance computing resources, we will be in position to track the time evolution of statistically significant rough surfaces under normal loading in the presence of visco-plastic deformation, at the onset of sliding and during sliding contact. The research will yield direct insights on the contributing factors (including geometry, boundary conditions, and material parameters) to a macroscopic friction coefficient and the characteristic time and length scales used in rate-and-state friction models. This is a crucial step for constructing predictive friction models.