Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 530
Variational Study of a Generalized Thermo Viscoplasticity Problem
Ilyas Boukaroura
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 16, 2022
March 03, 2432
April 15, 2432

Abstract: In this work we consider two uncoupled quasistatic problems for thermo viscoplastic bodies. The thermo viscoplasticity effect is characterized by the coupling between the mechanical, and the thermal properties of material. In the model, both the elastic and the plastic rate of deformation depend on a parameter θ which may be interpreted as the absolute temperature. The boundary conditions considered here as displacement-traction conditions as well as unilateral contact conditions. We establish a variational formulation for the model and we prove the existence of a unique weak solution to ...