Geodesic
Thick obstacle problems with dynamic adhesive contact
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 6, pp. 1021-1045

Voir la notice de l'article provenant de la source Numdam

In this work, we consider dynamic frictionless contact with adhesion between a viscoelastic body of the Kelvin-Voigt type and a stationary rigid obstacle, based on the Signorini's contact conditions. Including the adhesion processes modeled by the bonding field, a new version of energy function is defined. We use the energy function to derive a new form of energy balance which is supported by numerical results. Employing the time-discretization, we establish a numerical formulation and investigate the convergence of numerical trajectories. The fully discrete approximation which satisfies the complementarity conditions is computed by using the nonsmooth Newton's method with the Kanzow-Kleinmichel function. Numerical simulations of a viscoelastic beam clamped at two ends are presented.

DOI : 10.1051/m2an:2008037
Classification : 74M20, 74M15, 74K10, 35L85
Keywords: adhesion, Signorini's contact, complementarity conditions, time-discretization 
@article{M2AN_2008__42_6_1021_0,
     author = {Ahn, Jeongho},
     title = {Thick obstacle problems with dynamic adhesive contact},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1021--1045},
     publisher = {EDP-Sciences},
     volume = {42},
     number = {6},
     year = {2008},
     doi = {10.1051/m2an:2008037},
     mrnumber = {2473318},
     zbl = {1149.74043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008037/}
}
TY  - JOUR
AU  - Ahn, Jeongho
TI  - Thick obstacle problems with dynamic adhesive contact
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2008
SP  - 1021
EP  - 1045
VL  - 42
IS  - 6
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008037/
DO  - 10.1051/m2an:2008037
LA  - en
ID  - M2AN_2008__42_6_1021_0
ER  - 
%0 Journal Article
%A Ahn, Jeongho
%T Thick obstacle problems with dynamic adhesive contact
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2008
%P 1021-1045
%V 42
%N 6
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008037/
%R 10.1051/m2an:2008037
%G en
%F M2AN_2008__42_6_1021_0
Ahn, Jeongho. Thick obstacle problems with dynamic adhesive contact. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 6, pp. 1021-1045. doi: 10.1051/m2an:2008037

Cité par Sources :