Analysis of a dynamic thermo-elastic-viscoplastic contact problem

Ahmed, Abdelaziz Azeb; Boutechebak, Souraya

doi:10.14232/ejqtde.2013.1.71

Cited by 4 publications

(1 citation statement)

References 12 publications

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“…This area is extensively explored in engineering structures, due to its temperature-dependent characteristics. Several articles have tackled the thermopiezoelectric contact problem with friction [5,[9][10][11][12][13], thermo-elasto-visco-plasticity [14][15][16], and thermo-visco-elasticity [17,18]. These studies are rooted in variations in constitutive laws and contact conditions [19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Existence and Uniqueness of Weak Solutions to Frictionless-Antiplane Contact Problems

Fadlia,

Dalah,

Torres

2024

Mathematics

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We investigate a quasi-static-antiplane contact problem, examining a thermo-electro-visco-elastic material with a friction law dependent on the slip rate, assuming that the foundation is electrically conductive. The mechanical problem is represented by a system of partial differential equations, and establishing its solution involves several key steps. Initially, we obtain a variational formulation of the model, which comprises three systems: a hemivariational inequality, an elliptic equation, and a parabolic equation. Subsequently, we demonstrate the existence of a unique weak solution to the model. The proof relies on various arguments, including those related to evolutionary inequalities, techniques for decoupling unknowns, and certain results from differential equations.

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