Variational and Numerical Analysis for Frictional Contact Problem with Normal Compliance in Thermo-Electro-Viscoelasticity
Keyword(s):
In this paper, we consider a mathematical model of a contact problem in thermo-electro-viscoelasticity with the normal compliance conditions and Tresca’s friction law. We present a variational formulation of the problem, and we prove the existence and uniqueness of the weak solution. We also study the numerical approach using spatially semidiscrete and fully discrete finite element schemes with Euler’s backward scheme. Finally, we derive error estimates on the approximate solutions.
2018 ◽
Vol 39
(12)
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pp. 1248-1264
Variational and numerical analysis of the Signorini′s contact problem in viscoplasticity with damage
2003 ◽
Vol 2003
(2)
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pp. 87-114
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2013 ◽
Vol 23
(2)
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pp. 263-276
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Keyword(s):
Analysis and numerical approximation of an elastic frictional contact problem with normal compliance
1999 ◽
Vol 26
(4)
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pp. 415-435
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2013 ◽
Vol 5
(04)
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pp. 494-509
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1988 ◽
pp. 261-267