TY - JOUR
ID - 246178
TI - Boundary Value Problems in Thermo Viscoplasticity
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Boukaroura, Ilyas
AU - Djabi, Seddik
AU - Khelladi, Samia
AD - Department of Mathematics, Faculty of Science, Applied Mathematics Laboratory, Ferhat Abbas- Setif 1 University, Setif, Algeria
AD - Department of Mathematics, Faculty of Science, Fundamental and Numerical Mathematics Laboratory, Ferhat Abbas- Setif 1 University, Setif, Algeria
Y1 - 2021
PY - 2021
VL - 18
IS - 4
SP - 19
EP - 30
KW - Viscoplastic
KW - Temperature
KW - Variational inequality
KW - Cauchy-Lipschitz method
DO - 10.22130/scma.2021.127385.797
N2 - In this work, we study two uncoupled quasistatic problems for thermo viscoplastic materials. In the model of the equation of generalised thermo viscoplasticity, both the elastic and the plastic rate of deformation depend on a parameter $theta $ 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 the problem, reducing the isotherm problem to an ordinary differential equation in a Hilbert space.
UR - https://scma.maragheh.ac.ir/article_246178.html
L1 - https://scma.maragheh.ac.ir/article_246178_f12cdb82487b0b2d05c87715398f0e46.pdf
ER -