@Article{EAJAM-10-659,
author = {Xuan , Hailing and Cheng , Xiaoliang},
title = {Numerical Analysis and Simulation of a Frictional Contact Problem with Wear, Damage and Long Memory},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {4},
pages = {659--678},
abstract = {<p style="text-align: justify;">A frictional contact model accounting the wear of the contact surface caused
by the friction and the mechanical damage of the material is considered. The deformable
body is comprised of a viscoelastic material with long memory and the process is assumed
to be quasistatic. The mechanical damage caused by tension or compression is included
in the constitutive law and the damage function is modelled by a nonlinear parabolic
inclusion. The wear is contained in the contact boundary conditions and wear function
is modelled by a differential equation. Variational formulation of the model is governed
by a coupled system consisting of a history-dependent variational inequality, a nonlinear
parabolic variational inequality and an integral equation. A fully discrete scheme of the
problem is studied and optimal error estimates are derived for the linear finite element
method. Numerical simulations illustrate the model behaviour.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.130320.260520},
url = {http://global-sci.org/intro/article_detail/eajam/17945.html}
}