Abstract
The solvability of a coupled thermo-viscoelastic system including contact and friction is outlined. The nonlinear growth of the viscous, frictional and deformation heat occuring in the system is compensated by a certain superlinear growth of the solution-dependent diffusion coefficients.
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References
Eck, C., and Jarusek, J. (1998), Existence of solutions for the dynamic frictional contact problem of isotropic viscoelastic bodies. Preprint Nr. 242, Inst. Appl. Math., Univ. Erlangen—Nürnberg.
Eck, C. (2000), Existence of solutions to a thermo-viscoelastic contact problem with Coulomb friction and heat radiation. Preprint Nr. 271, Inst. Appl. Math., Univ. Erlangen—Nürnberg.
Jarusek, J., and Eck, C. (1999), Dynamic contact problems with small Coulomb friction for viscoelastic bodies. Existence of solutions. Math. Models Meth. Appl. Sei. 9, 11 — 34.
Jarusek, J. (2000), Solvability of nonlinear thermo-viscoelastic contact problem with small friction and general growth of the heat energy. Preprint Nr. 273, Inst. Appl. Math., Univ. Erlangen—Nürnberg.
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© 2002 Springer Science+Business Media Dordrecht
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Eck, C., Jarušek, J. (2002). Solvability of Thermo-Viscoelastic Contact Problems with Coulomb Friction and Nonlinear Heat Conductivity. In: Contact Mechanics. Solid Mechanics and Its Applications, vol 103. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1154-8_32
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DOI: https://doi.org/10.1007/978-94-017-1154-8_32
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6099-0
Online ISBN: 978-94-017-1154-8
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