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Quasistatic adhesive contact of visco‐elastic bodies and its numerical treatment for very small viscosity
Author(s) -
Roubíček T.,
Panagiotopoulos C.G.,
Mantič V.
Publication year - 2013
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201200239
Subject(s) - viscosity , quasistatic process , rheology , discretization , mechanics , viscoelasticity , inertia , materials science , adhesive , flow (mathematics) , boundary value problem , classical mechanics , physics , mathematical analysis , mathematics , composite material , thermodynamics , layer (electronics)
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.