Dynamic contact problem with adhesion and damage between thermo–electro–elasto-viscoplastic bodies

Ammar, Tedjani Hadj; Saïdi, Abdelkader; Ahmed, Abdelaziz Azeb

doi:10.1016/j.crme.2017.03.002

Comptes Rendus. Mécanique

2017

DOI: 10.1016/j.crme.2017.03.002

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Dynamic contact problem with adhesion and damage between thermo–electro–elasto-viscoplastic bodies

Tedjani Hadj Ammar¹,

Abdelkader Saïdi²,

Abdelaziz Azeb Ahmed³

Abstract: Dynamic contact problem with adhesion and damage between thermo-electro-elasto-viscoplastic bodiesProblème dynamique de contact entre deux corps thermo-électro-élasto-viscoplastique avec endommagement et adhésion

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A frictionless contact problem for elastic-viscoplastic materials with adhesion and thermal effects

Ammar¹,

Rimi²

2019

Malaya J. Mat.

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We consider a mathematical problem for frictionless contact between a thermo-elastic-viscoplastic body with adhesion and an obstacle. We employ the thermo-elastic-viscoplastic with damage constitutive law for the material. The evolution of the damage is described by an inclusion of parabolic type. The evolution of the adhesion field is governed by the differential equationβ = H ad β , ξ β , R ν (u ν), R τ (u τ). We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence and uniqueness result on parabolic inequalities, differential equations and fixed point arguments.

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A frictionless contact problem for elastic-viscoplastic materials with adhesion and thermal effects

Ammar¹,

Rimi²

2019

Malaya J. Mat.

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Dynamic contact problem with adhesion and damage between thermo–electro–elasto-viscoplastic bodies

Abstract: Dynamic contact problem with adhesion and damage between thermo-electro-elasto-viscoplastic bodiesProblème dynamique de contact entre deux corps thermo-électro-élasto-viscoplastique avec endommagement et adhésion

Cited by 1 publication

References 4 publications

A frictionless contact problem for elastic-viscoplastic materials with adhesion and thermal effects

A frictionless contact problem for elastic-viscoplastic materials with adhesion and thermal effects

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