Geodesic
Quasistatic Viscoplasticity with Polynomial Growth Condition and with Frictional Contact
Journal of convex analysis, Tome 24 (2017) no. 1, pp. 1-17
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We consider a problem in the inelastic deformation theory. There is a body consisted of a viscoplastic material, which is deformed in a quasistatic process i.e. the movement varies slowly. Additionally we assume that the body has a contact with a rigid foundation: the body moves on the foundation with a friction modelled by a dissipative potential. Together with an inelastic constitutive function, it gives a problem that involves two monotone operators: one acting on the body, other acting on its boundary. We prove existence and uniqueness of a solution to this problem where inelastic constitutive function has a polynomial growth at infinity.
Classification : 74C10
Mots-clés : Inelastic deformation theory, viscoplasticity, friction, frictional contact, sum of monotone operators 
@article{JCA_2017_24_1_JCA_2017_24_1_a0,
     author = {L. Glen},
     title = {Quasistatic {Viscoplasticity} with {Polynomial} {Growth} {Condition} and with {Frictional} {Contact}},
     journal = {Journal of convex analysis},
     pages = {1--17},
     year = {2017},
     volume = {24},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a0/}
}
TY  - JOUR
AU  - L. Glen
TI  - Quasistatic Viscoplasticity with Polynomial Growth Condition and with Frictional Contact
JO  - Journal of convex analysis
PY  - 2017
SP  - 1
EP  - 17
VL  - 24
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a0/
ID  - JCA_2017_24_1_JCA_2017_24_1_a0
ER  - 
%0 Journal Article
%A L. Glen
%T Quasistatic Viscoplasticity with Polynomial Growth Condition and with Frictional Contact
%J Journal of convex analysis
%D 2017
%P 1-17
%V 24
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a0/
%F JCA_2017_24_1_JCA_2017_24_1_a0
L. Glen. Quasistatic Viscoplasticity with Polynomial Growth Condition and with Frictional Contact. Journal of convex analysis, Tome 24 (2017) no. 1, pp. 1-17. http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a0/