Geodesic
Analysis of a frictionless contact problem for elastic bodies
Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 75-88.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper deals with a nonlinear problem modelling the contact between an elastic body and a rigid foundation. The elastic constitutive law is assumed to be nonlinear and the contact is modelled by the well-known Signorini conditions. Two weak formulations of the model are presented and existence and uniqueness results are established using classical arguments of elliptic variational inequalities. Some equivalence results are presented and a strong convergence result involving a penalized problem is also proved.
DOI : 10.4064/ap-69-1-75-88
Keywords: frictionless contact, elastic body, variational inequality, monotone operator, penalized problem

S. Drabla 1 ; M. Sofonea 1 ; B. Teniou 1

1 
@article{10_4064_ap_69_1_75_88,
     author = {S. Drabla and M. Sofonea and B. Teniou},
     title = {Analysis of a frictionless contact problem for elastic bodies},
     journal = {Annales Polonici Mathematici},
     pages = {75--88},
     publisher = {mathdoc},
     volume = {69},
     number = {1},
     year = {1998},
     doi = {10.4064/ap-69-1-75-88},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-75-88/}
}
TY  - JOUR
AU  - S. Drabla
AU  - M. Sofonea
AU  - B. Teniou
TI  - Analysis of a frictionless contact problem for elastic bodies
JO  - Annales Polonici Mathematici
PY  - 1998
SP  - 75
EP  - 88
VL  - 69
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-75-88/
DO  - 10.4064/ap-69-1-75-88
LA  - en
ID  - 10_4064_ap_69_1_75_88
ER  - 
%0 Journal Article
%A S. Drabla
%A M. Sofonea
%A B. Teniou
%T Analysis of a frictionless contact problem for elastic bodies
%J Annales Polonici Mathematici
%D 1998
%P 75-88
%V 69
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-75-88/
%R 10.4064/ap-69-1-75-88
%G en
%F 10_4064_ap_69_1_75_88
S. Drabla; M. Sofonea; B. Teniou. Analysis of a frictionless contact problem for elastic bodies. Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 75-88. doi : 10.4064/ap-69-1-75-88. http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-75-88/

Cité par Sources :