A quasistatic unilateral and frictional contact problem with adhesion for elastic materials

Arezki Touzaline. "A quasistatic unilateral and frictional contact problem with adhesion for elastic materials." Applicationes Mathematicae 36.1 (2009): 107-127. <http://eudml.org/doc/279896>.

@article{ArezkiTouzaline2009,
abstract = {We consider a quasistatic contact problem between a linear elastic body and a foundation. The contact is modelled with the Signorini condition and the associated non-local Coulomb friction law in which the adhesion of the contact surfaces is taken into account. The evolution of the bonding field is described by a first order differential equation. We derive a variational formulation of the mechanical problem and prove existence of a weak solution if the friction coefficient is sufficiently small. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments, differential equations and the Banach fixed point theorem.},
author = {Arezki Touzaline},
journal = {Applicationes Mathematicae},
keywords = {weak solution; existence; compactness; Banach fixed point theorem},
language = {eng},
number = {1},
pages = {107-127},
title = {A quasistatic unilateral and frictional contact problem with adhesion for elastic materials},
url = {http://eudml.org/doc/279896},
volume = {36},
year = {2009},
}

TY - JOUR
AU - Arezki Touzaline
TI - A quasistatic unilateral and frictional contact problem with adhesion for elastic materials
JO - Applicationes Mathematicae
PY - 2009
VL - 36
IS - 1
SP - 107
EP - 127
AB - We consider a quasistatic contact problem between a linear elastic body and a foundation. The contact is modelled with the Signorini condition and the associated non-local Coulomb friction law in which the adhesion of the contact surfaces is taken into account. The evolution of the bonding field is described by a first order differential equation. We derive a variational formulation of the mechanical problem and prove existence of a weak solution if the friction coefficient is sufficiently small. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments, differential equations and the Banach fixed point theorem.
LA - eng
KW - weak solution; existence; compactness; Banach fixed point theorem
UR - http://eudml.org/doc/279896
ER -