We consider a contact problem of planar elastic bodies. We adopt Coulomb friction as (an implicitly defined) constitutive law. We will investigate highly simplified lumped parameter models where the contact boundary consists of just one point. In particular, we consider the relevant static and dynamic problems. We are interested in numerical solution of both problems. Even though the static and dynamic problems are qualitatively different, they can be solved by similar piecewise-smooth continuation techniques. We will discuss possible generalizations in order to tackle more complex structures.
@article{702965,
title = {Numerical analysis of a lumped parameter friction model},
booktitle = {Application of Mathematics 2015},
series = {GDML\_Books},
publisher = {Institute of Mathematics CAS},
address = {Prague},
year = {2015},
pages = {63-76},
zbl = {06669919},
url = {http://dml.mathdoc.fr/item/702965}
}
Janovský, Vladimír. Numerical analysis of a lumped parameter friction model, dans Application of Mathematics 2015, GDML_Books, (2015), pp. 63-76. http://gdmltest.u-ga.fr/item/702965/