Thick obstacle problems with dynamic adhesive contact
ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 6, pp. 1021-1045.

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
Mots-clés : adhesion, Signorini's contact, complementarity conditions, time-discretization 
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Ahn, Jeongho. Thick obstacle problems with dynamic adhesive contact. ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 6, pp. 1021-1045. doi : 10.1051/m2an:2008037. http://www.numdam.org/articles/10.1051/m2an:2008037/

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