M. CHADI Khelifa

MCB

Directory of teachers

Department

Mathematics Department

Research Interests

Specialized in Mathematics Department. Focused on academic and scientific development.

Contact Info

University of M'Sila, Algeria

Email : khelifa.chadi@univ-msila.dz

On the Web:

  • Google Scholar N/A
  • ResearchGate
    ResearchGate N/A
  • ORCID N/A
  • SC
    Scopus N/A

Recent Publications

2024-12-04

Analysis Bilateral Contact Problem with Nonmonotone Friction And Damage

In this paper we present a mathematical model of dynamic frictional contact between a deformable body and a foundation. The process is dynamic,the material assumd to by elasto- piezoelectricity constitutive law
includes a damage e§ect described by the parabolic inclusion with the homogeneous Neumann boundary condition and, Contact is modeled with bilateratl condition with subdi§erential frictional law. We present a variational formulation of the problem leads to a system an evolutionary hemivariational inequality for the displacemnt, parabolic variational inequality for the damag and an elliptic hemivariational inequality with respect to the electric potential field and establish an existence and uniqueness of the weak solution. The proof is based on the theory of hemivariational inequalities, parabolic variational inequalities and fixed point arguments.
Citation

M. CHADI Khelifa, (2024-12-04), "Analysis Bilateral Contact Problem with Nonmonotone Friction And Damage", [national] at The National Conference on Mathematical Analysis ( NCMA' 2024) , University of M'sila, Algeria

Read Full Paper
2024-10-24

Etude Mathématique de quelques problèmes aux limites en viscoélasticité et viscoplasticité

The purpose of this thesis is the mathematical study of some boundary value problems of a friction and frictionless contact in a dynamic or a quasistatic process. We combine at the same time various phenomena mechanical, physical and underlying such as: damage, wear and thermal effect. We consider laws of nonlinear behavior for different materials: elasto-viscoplastic, thermo- viscoelastic and electro-viscoelastic. The results we obtain concern the existence and uniqueness of weak solutions. The thesis is divided into two parts. The first part concerns some preliminary results on functional analysis and partial
differential equations necessary to carry out the continuation of this thesis. The second part is devoted to the modeling and the mathematical study of the contact problems considered.

Keywords: elasto-viscoplastic, electro-viscoelastic, thermo- viscoelastic, Coulomb friction,
damage, wear, variational inequality, Hemivariational inequality, weak solution, fixed point
Citation

M. CHADI Khelifa, (2024-10-24), "Etude Mathématique de quelques problèmes aux limites en viscoélasticité et viscoplasticité", [national] Msila University

Read Full Paper
2023-10-11

Bilateral Contact Problem with Nonmonotone Friction And Damage

In this paper we present a mathematical model of dynamic frictional contact between a deformable body and a foundation. The process is dynamic,the material assumd to by viscoelastic constitutive law includes a damage e§ect described by the parabolic inclusion with the homogeneous Neumann boundary condition and, Contact is modeled with bilateratl condition with subdi§erential frictional law. We present a variational formulation of the problem leads to a system an evolutionary hemivariational inequality for the displacemnt and parabolic variational inequality for the damag and establish an existence and uniqueness of the weak solution. The proof is based on second order evolutionary inclusions with monotone operators, parabolic variational inequalities of Örst kind and Öxed point arguments.
Citation

M. CHADI Khelifa, (2023-10-11), "Bilateral Contact Problem with Nonmonotone Friction And Damage", [international] The 2nd International Conference on the: '' Evolution of Contemporary Mathematics and their Impact in Science and Technology'' , at the Brothers Mentouri University Constantine 1, Algeria

Read Full Paper
2022-05-26

A dynamic contact problem for viscoelastic with friction and damage

In this paper we present a mathematical model of dynamic frictional contact between a
deformable body and a foundation. The process is dynamic,the material assumd to by viscoelastic
with long memory constitutive law includes a damage effect described by the parabolic inclusion with
the homogeneous Neumann boundary condition and, Contact is modeled with bilateratl condition with
subdifferential frictional law. We present a variational formulation of the problem leads to a system an
evolutionary hemivariational inequality for the displacemnt and parabolic variational inequality for the
damag and establish an existence and uniqueness of the weak solution. The proof is based on second
order evolutionary inclusions with monotone operators, parabolic variational inequalities of first kind and
fixed point arguments.
Citation

M. CHADI Khelifa, (2022-05-26), "A dynamic contact problem for viscoelastic with friction and damage", [national] Tird National Mathematics Seminar 2022' , at the Freres Mentouri University, Constantine 1- Algeria

Read Full Paper
2021

Dynamic frictional thermoviscoelastic contact problem with normal compliance and damage

We study a dynamic problem describing the frictional contact between a
thermoviscoelastic body and a foundation. The thermoviscoelastic constitutive law includes a damage effect described by the parabolic inclusion with
the homogeneous Neumann boundary condition and a temperature effect
described by the first order evolution equation. The contact is modeled with
normal compliance condition with friction. We present a variational formulation of the problem and establish an existence and uniqueness of the weak
solution. The proof is based on parabolic variational inequalities of first and
second kind, first order evolutionary variational equations and fixed point
arguments.
Citation

M. CHADI Khelifa, (2021), "Dynamic frictional thermoviscoelastic contact problem with normal compliance and damage", [national] Bull. Belg. Math. Soc. Simon Stevin , the Belgian Mathematical Society – Simon Stevin

Read Full Paper
← Back to Researchers List