ARTICLE
Numerical analysis of a frictional contact problem for thermo-electro-elastic materials
| 1 | National School of Applied Sciences of Safi, Cadi Ayyad University, Safi, Morocco |
CORRESPONDING AUTHOR
Submission date: 2018-12-25
Final revision date: 2019-03-31
Acceptance date: 2019-11-29
Online publication date: 2020-07-15
Publication date: 2020-07-15
Journal of Theoretical and Applied Mechanics 2020;58(3):673–683
KEYWORDS
thermo-electro-elastic materialfrictional contactFinite Element Methoderrorestimatenumerical simulations
TOPICS
ABSTRACT
A numerical method is presented for a mathematical model which describes the frictional
contact between a thermo-electro-elastic body and a conductive foundation. The contact is
described by Signorini’s conditions and Tresca’s friction law including electrical and ther-
mal conductivity conditions. Our aim is to present a detailed description of the numerical
modelling of the problem. To this end, we introduce a discrete scheme based on the finite
element method. Under some regularity assumptions imposed on the true solution, optimal
order error estimates are derived for the linear element solution. This theoretical result is
illustrated numerically.
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