A Dynamic Frictionless Contact Problem with Adhesion and Damage

Mohamed Selmani, and Lynda Selmani. "A Dynamic Frictionless Contact Problem with Adhesion and Damage." Bulletin of the Polish Academy of Sciences. Mathematics 55.1 (2007): 17-34. <http://eudml.org/doc/281014>.

@article{MohamedSelmani2007,
abstract = {We consider a dynamic frictionless contact problem for a viscoelastic material with damage. The contact is modeled with normal compliance condition. The adhesion of the contact surfaces is considered and is modeled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We establish a variational formulation for the problem and prove the existence and uniqueness of the solution. The proofs are based on the theory of evolution equations with monotone operators, a classical existence and uniqueness result for parabolic inequalities, and fixed point arguments.},
author = {Mohamed Selmani, Lynda Selmani},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {normal compliance; fixed point; variational formulation; existence; uniqueness; monotone operators; parabolic inequalities},
language = {eng},
number = {1},
pages = {17-34},
title = {A Dynamic Frictionless Contact Problem with Adhesion and Damage},
url = {http://eudml.org/doc/281014},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Mohamed Selmani
AU - Lynda Selmani
TI - A Dynamic Frictionless Contact Problem with Adhesion and Damage
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 1
SP - 17
EP - 34
AB - We consider a dynamic frictionless contact problem for a viscoelastic material with damage. The contact is modeled with normal compliance condition. The adhesion of the contact surfaces is considered and is modeled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We establish a variational formulation for the problem and prove the existence and uniqueness of the solution. The proofs are based on the theory of evolution equations with monotone operators, a classical existence and uniqueness result for parabolic inequalities, and fixed point arguments.
LA - eng
KW - normal compliance; fixed point; variational formulation; existence; uniqueness; monotone operators; parabolic inequalities
UR - http://eudml.org/doc/281014
ER -