Quasistatic adhesive contact of visco‐elastic bodies and its numerical treatment for very small viscosity
T. Roubíček, C.G. Panagiotopoulos, V. Mantič
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Published: Apr 9, 2013
DOI: 10.1002/zamm.201200239
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Abstract An adhesive unilateral contact of elastic bodies with a small viscosity in the linear Kelvin‐Voigt rheology at small strains is scrutinized. The flow‐rule for debonding the adhesive is considered rate‐independent and unidirectional, and inertia is neglected. The asymptotics for the viscosity approaching zero towards purely elastic material involves a certain defect‐like measure recording in some sense natural additional energy dissipated in the bulk due to (vanishing) viscosity, which is demonstrated on particular 2‐dimensional computational simulations based on a semi‐implicit time discretisation and a spacial discretisation implemented by boundary‐element method.
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