A frictionless contact problem for elastic-viscoplastic materials with internal state variable
Applicationes Mathematicae, Tome 40 (2013) no. 1, p. 1-20.
We study a mathematical model for frictionless contact between an elastic-viscoplastic body and a foundation. We model the material with a general elastic-viscoplastic constitutive law with internal state variable and the contact with a normal compliance condition. We derive a variational formulation of the model. We establish existence and uniqueness of a weak solution, using general results on first order nonlinear evolution equations with monotone operators and fixed point arguments. Finally, we study the dependence of the solution on perturbations of contact conditions and prove a convergence result.
Source:
Zbl
Classification : 74C10, 74M15 
@article{APME_2013__40_1_280017,
     author = {Lynda Selmani},
     title = {A frictionless contact problem for elastic-viscoplastic materials with internal state variable},
     journal = {Applicationes Mathematicae},
     pages = {1-20},
     volume = {40},
     number = {1},
     year = {2013},
     zbl = {an:1271.74362},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/APME_2013__40_1_280017/}
}
TY  - JOUR
AU  - Lynda Selmani
TI  - A frictionless contact problem for elastic-viscoplastic materials with internal state variable
JO  - Applicationes Mathematicae
PY  - 2013
SP  - 1
EP  - 20
VL  - 40
IS  - 1
UR  - https://geodesic-test.mathdoc.fr/item/APME_2013__40_1_280017/
LA  - en
ID  - APME_2013__40_1_280017
ER  - 
%0 Journal Article
%A Lynda Selmani
%T A frictionless contact problem for elastic-viscoplastic materials with internal state variable
%J Applicationes Mathematicae
%D 2013
%P 1-20
%V 40
%N 1
%U https://geodesic-test.mathdoc.fr/item/APME_2013__40_1_280017/
%G en
%F APME_2013__40_1_280017
Lynda Selmani. A frictionless contact problem for elastic-viscoplastic materials with internal state variable. Applicationes Mathematicae, Tome 40 (2013) no. 1, p. 1-20. https://geodesic-test.mathdoc.fr/item/APME_2013__40_1_280017/