A Quasistatic Contact Problem for Viscoelastic Materials with Slip-Dependent Friction and Time Delay
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-13
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
A mathematical model which describes an explicit time-dependent quasistatic frictional contact problem between a deformable body and a foundation is introduced and studied, in which the contact is bilateral, the friction is modeled with Tresca’s friction law with the friction bound depending on the total slip, and the behavior of the material is described with a viscoelastic constitutive law with time delay.
The variational formulation of the mathematical model is given as a quasistatic integro-differential variational inequality system.
Based on arguments of the time-dependent variational inequality and Banach's fixed point theorem, an existence and uniqueness of the solution for the quasistatic integro-differential variational inequality system is proved under some suitable conditions.
Furthermore, the behavior of the solution with respect to perturbations of time-delay term is considered and a convergenceresult is also given.
American Psychological Association (APA)
Yao, Si-sheng& Huang, Nan-Jing. 2012. A Quasistatic Contact Problem for Viscoelastic Materials with Slip-Dependent Friction and Time Delay. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1029567
Modern Language Association (MLA)
Yao, Si-sheng& Huang, Nan-Jing. A Quasistatic Contact Problem for Viscoelastic Materials with Slip-Dependent Friction and Time Delay. Mathematical Problems in Engineering No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-1029567
American Medical Association (AMA)
Yao, Si-sheng& Huang, Nan-Jing. A Quasistatic Contact Problem for Viscoelastic Materials with Slip-Dependent Friction and Time Delay. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1029567
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029567