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- Title
Thick obstacle problems with dynamic adhesive contact.
- Authors
Jeongho Ahn
- Abstract
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.
- Subjects
ADHESION; ADSORPTION (Chemistry); COHESION; ABHERENTS; CELL adhesion; DENTAL bonding
- Publication
Modélisation Mathématique et Analyse Numérique, 2008, Vol 42, Issue 6, p1021
- ISSN
0764-583X
- Publication type
Article
- DOI
10.1051/m2an:2008037