A Viscoelastic Frictionless Contact Problem with Adhesion

Arezki Touzaline. "A Viscoelastic Frictionless Contact Problem with Adhesion." Bulletin of the Polish Academy of Sciences. Mathematics 63.1 (2015): 53-66. <http://eudml.org/doc/281308>.

@article{ArezkiTouzaline2015,
abstract = {We consider a mathematical model which describes the equilibrium between a viscoelastic body in frictionless contact with an obstacle. The contact is modelled with normal compliance, associated with Signorini's conditions and adhesion. The adhesion is modelled with a surface variable, the bonding field, whose evolution is described by a first-order differential equation. We establish a variational formulation of the mechanical problem and prove the existence and uniqueness of the weak solution. The proof is based on arguments of evolution equations with multivalued maximal monotone operators, differential equations and the Banach fixed point theorem.},
author = {Arezki Touzaline},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {viscoelastic; adhesion; frictionless; fixed point; weak solution},
language = {eng},
number = {1},
pages = {53-66},
title = {A Viscoelastic Frictionless Contact Problem with Adhesion},
url = {http://eudml.org/doc/281308},
volume = {63},
year = {2015},
}

TY - JOUR
AU - Arezki Touzaline
TI - A Viscoelastic Frictionless Contact Problem with Adhesion
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2015
VL - 63
IS - 1
SP - 53
EP - 66
AB - We consider a mathematical model which describes the equilibrium between a viscoelastic body in frictionless contact with an obstacle. The contact is modelled with normal compliance, associated with Signorini's conditions and adhesion. The adhesion is modelled with a surface variable, the bonding field, whose evolution is described by a first-order differential equation. We establish a variational formulation of the mechanical problem and prove the existence and uniqueness of the weak solution. The proof is based on arguments of evolution equations with multivalued maximal monotone operators, differential equations and the Banach fixed point theorem.
LA - eng
KW - viscoelastic; adhesion; frictionless; fixed point; weak solution
UR - http://eudml.org/doc/281308
ER -