Object
Title: Analysis of a viscoelastic antiplane contact problem with slip-dependent friction
Contributor:
Sofonea, Mircea - ed. ; Viano, Juan M. - ed.
Subtitle:
Mathematical Modelling and Numerical Analysis in Solid Mechanics
Group publication title:
Abstract:
We study a mathematical problem modelling the antiplane shear deformation of a viscoelastic body in frictional contact with a rigid foundation. The contact is bilateral and is modelled with a slip-dependent friction law. We present the classical formulation for the antiplane problem and write the corresponding variational formulation. ; Then we establish the existence of a unique weak solution to the model, by using the Banach fixed-point theorem and classical results for elliptic variational inequalities. Finally, we prove that the solution converges to the solution of the corresponding elastic problem as the viscosity converges to zero.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 12, number 1 (2002) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2002)
Last modified:
Sep 1, 2021
In our library since:
Sep 1, 2021
Number of object content hits:
61
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65708
Show description in RDF format:
Show description in OAI-PMH format:
-
International Journal of Applied Mathematics and Computer Science (AMCS)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 1 (2002)
- Mesh r-adaptation for unilateral contact problems
- Dynamic contact problems with velocity conditions
- On the solution of a finite element approximation of a linear obstacle plate problem
- On finite element uniqueness studies for Coulomb's frictional contact model
- Analysis of a viscoelastic antiplane contact problem with slip-dependent friction
- Error estimation and adaptivity for nonlinear FE analysis
- Dynamic contact problems with slip-dependent friction in viscoelasticity
- Non-smoothness in the asymptotics of thin shells and propagation of singularities. Hyperbolic case
- The energy method for elastic problems with non-homogeneous boundary conditions
- A nonlinear model of a turbine blade by asymptotic analysis
- Unilateral contact applications using FEM software
- Analysis of optimality conditions for some topology optimization problems in elasticity
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 2 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 3 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 4 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 1 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
-
International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| Analysis of a viscoelastic antiplane contact problem with slip-dependent friction | Sep 1, 2021 |
