# A quasistatic bilateral contact problem with adhesion and friction for viscoelastic materials

Commentationes Mathematicae Universitatis Carolinae (2010)

- Volume: 51, Issue: 1, page 85-97
- ISSN: 0010-2628

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topTouzaline, Arezki. "A quasistatic bilateral contact problem with adhesion and friction for viscoelastic materials." Commentationes Mathematicae Universitatis Carolinae 51.1 (2010): 85-97. <http://eudml.org/doc/37746>.

@article{Touzaline2010,

abstract = {We consider a mathematical model which describes a contact problem between a deformable body and a foundation. The contact is bilateral and is modelled with Tresca's friction law in which adhesion is taken into account. The evolution of the bonding field is described by a first order differential equation and the material's behavior is modelled with a nonlinear viscoelastic constitutive law. We derive a variational formulation of the mechanical problem and prove the existence and uniqueness result of the weak solution. The proof is based on arguments of time-dependent variational inequalities, differential equations and Banach fixed point theorem.},

author = {Touzaline, Arezki},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {viscoelastic materials; adhesion; Tresca's friction; fixed point; weak solution; contact problem; viscoelastic material; Tresca's friction; adhesion; existence; unicity; Banach fixed point theorem},

language = {eng},

number = {1},

pages = {85-97},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {A quasistatic bilateral contact problem with adhesion and friction for viscoelastic materials},

url = {http://eudml.org/doc/37746},

volume = {51},

year = {2010},

}

TY - JOUR

AU - Touzaline, Arezki

TI - A quasistatic bilateral contact problem with adhesion and friction for viscoelastic materials

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2010

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 51

IS - 1

SP - 85

EP - 97

AB - We consider a mathematical model which describes a contact problem between a deformable body and a foundation. The contact is bilateral and is modelled with Tresca's friction law in which adhesion is taken into account. The evolution of the bonding field is described by a first order differential equation and the material's behavior is modelled with a nonlinear viscoelastic constitutive law. We derive a variational formulation of the mechanical problem and prove the existence and uniqueness result of the weak solution. The proof is based on arguments of time-dependent variational inequalities, differential equations and Banach fixed point theorem.

LA - eng

KW - viscoelastic materials; adhesion; Tresca's friction; fixed point; weak solution; contact problem; viscoelastic material; Tresca's friction; adhesion; existence; unicity; Banach fixed point theorem

UR - http://eudml.org/doc/37746

ER -

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