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

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    0396669 - ÚT 2014 RIV DE eng J - Journal Article
    Roubíček, Tomáš - Panagiotopoulos, C.G. - Mantič, V.
    Quasistatic adhesive contact of visco-elastic bodies and its numerical treatment for very small viscosity.
    ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 93, 10 11 (2013), s. 823-840. ISSN 0044-2267. E-ISSN 1521-4001
    R&D Projects: GA ČR GAP201/10/0357
    Institutional support: RVO:61388998
    Keywords : adhesive contact * debonding * delamination
    Subject RIV: BA - General Mathematics
    Impact factor: 1.008, year: 2013
    http://onlinelibrary.wiley.com/doi/10.1002/zamm.201200239/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.
    Permanent Link: http://hdl.handle.net/11104/0224594

     
     
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