Author/Authors :
Boukaroura, Ilyas Department of Mathematics - Faculty of Science - Applied Mathematics Laboratory - Ferhat Abbas- Setif 1 University, Setif, Algeria , Djabi, Seddik Department of Mathematics - Faculty of Science - Applied Mathematics Laboratory - Ferhat Abbas- Setif 1 University, Setif, Algeria , Khelladi, Samia Department of Mathematics - Faculty of Science - Fundamental and Numerical Mathematics Laboratory - Ferhat Abbas- Setif 1 University, Setif, Algeria
Abstract :
In this work, we study two uncoupled quasistatic prob-
lems for thermo viscoplastic materials. In the model of the equation
of generalised thermo viscoplasticity, both the elastic and the plas-
tic rate of deformation depend on a parameter which may be
interpreted as the absolute temperature. The boundary conditions
considered here as displacement-traction conditions as well as uni-
lateral contact conditions. We establish a variational formulation
for the model and we prove the existence of a unique weak solu-
tion to the problem, reducing the isotherm problem to an ordinary
differential equation in a Hilbert space.
