Quasistatic adhesive contact of visco-elastic bodies and its numerical\n treatment for very small viscosity

2013/03/07 by Tomáš Roubı́ček, Roubicek, Tomas, Christos G. Panagiotopoulos +3
Chemical Engineering · Computer Science · Engineering · #Adhesion, Friction, and Surface Interactions #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Numerical Analysis (math.NA) #Rheology and Fluid Dynamics Studies

paper · pdf · doi:10.48550/arxiv.1303.1709

openalex publication_date 2013/03/07 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

An adhesive unilateral contact of elastic bodies with a small viscosity in\nthe linear Kelvin-Voigt rheology at small strains is scrutinized. The flow-rule\nfor debonding the adhesive is considered rate-independent and unidirectional,\nand inertia is neglected. The asymptotics for the viscosity approaching zero\ntowards purely elastic material involves a certain defect-like measure\nrecording in some sense natural additional energy dissipated in the bulk due to\n(vanishing) viscosity, which is demonstrated on particular 2-dimensional\ncomputational simulations based on a semi-implicit time discretisation and a\nspacial discretisation implemented by boundary-element method.\n

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