Keywords
thermoviscoelastic body, frictional contact, rigid obstacle, Kelvin-Voigt
Abstract
We consider the dynamic behaviour of a thermoviscoelastic body which may come into frictional contact with a rigid obstacle. The frictional contact is modelled by general contact and friction laws which include as special cases the power law normal compliance condition and the corresponding generalization of Coulomb's law of dry friction. The stress-strain constitutive relation is assumed to be of Kelvin-Voigt type and the frictional heat generation on the contact surface is taken into account. In this setting we establish the existence of a solution to a weak version of the energy-elasticity system which consists of a parabolic equation coupled with a variational inequality.
Original Publication Citation
European Journal of Applied Mathematics, 8(1997), pp 417-436.
BYU ScholarsArchive Citation
Kuttler, Kenneth; Andrews, K. T.; and Shillor, M., "On the dynamic behaviour of a thermoviscoelastic body in frictional contact with a rigid obstacle" (1997). Faculty Publications. 671.
https://scholarsarchive.byu.edu/facpub/671
Document Type
Peer-Reviewed Article
Publication Date
1997-01-01
Permanent URL
http://hdl.lib.byu.edu/1877/1339
Publisher
Cambridge University Press, http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=47589
Language
English
College
Physical and Mathematical Sciences
Department
Mathematics
Copyright Status
© 1997 Cambridge University Press.
Copyright Use Information
http://lib.byu.edu/about/copyright/