Digital Library of Zielona Góra contains 9 272 digital objects
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:
License CC BY 4.0:
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:
Jul 14, 2025
In our library since:
Sep 1, 2021
Number of object content hits:
224
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65708
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 1 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 2 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 3 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 4 (2002)
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| Edition name | Date |
|---|---|
| Analysis of a viscoelastic antiplane contact problem with slip-dependent friction | Jul 14, 2025 |
