A frictionless contact problem for elastic-viscoplastic materials with internal state variable

Lynda Selmani. "A frictionless contact problem for elastic-viscoplastic materials with internal state variable." Applicationes Mathematicae 40.1 (2013): 1-20. <http://eudml.org/doc/280017>.

@article{LyndaSelmani2013,
abstract = {We study a mathematical model for frictionless contact between an elastic-viscoplastic body and a foundation. We model the material with a general elastic-viscoplastic constitutive law with internal state variable and the contact with a normal compliance condition. We derive a variational formulation of the model. We establish existence and uniqueness of a weak solution, using general results on first order nonlinear evolution equations with monotone operators and fixed point arguments. Finally, we study the dependence of the solution on perturbations of contact conditions and prove a convergence result.},
author = {Lynda Selmani},
journal = {Applicationes Mathematicae},
keywords = {elastic-viscoplastic materials; dynamic process; frictionless contact; normal compliance; internal state variable; weak solution; fixed point},
language = {eng},
number = {1},
pages = {1-20},
title = {A frictionless contact problem for elastic-viscoplastic materials with internal state variable},
url = {http://eudml.org/doc/280017},
volume = {40},
year = {2013},
}

TY - JOUR
AU - Lynda Selmani
TI - A frictionless contact problem for elastic-viscoplastic materials with internal state variable
JO - Applicationes Mathematicae
PY - 2013
VL - 40
IS - 1
SP - 1
EP - 20
AB - We study a mathematical model for frictionless contact between an elastic-viscoplastic body and a foundation. We model the material with a general elastic-viscoplastic constitutive law with internal state variable and the contact with a normal compliance condition. We derive a variational formulation of the model. We establish existence and uniqueness of a weak solution, using general results on first order nonlinear evolution equations with monotone operators and fixed point arguments. Finally, we study the dependence of the solution on perturbations of contact conditions and prove a convergence result.
LA - eng
KW - elastic-viscoplastic materials; dynamic process; frictionless contact; normal compliance; internal state variable; weak solution; fixed point
UR - http://eudml.org/doc/280017
ER -