Adhesive contact of visco-elastic bodies and defect measures arising by vanishing viscosity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10172802" target="_blank" >RIV/00216208:11320/13:10172802 - isvavai.cz</a>
Alternative codes found
RIV/61388998:_____/13:00393231
Result on the web
<a href="http://dx.doi.org/10.1137/12088286X" target="_blank" >http://dx.doi.org/10.1137/12088286X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/12088286X" target="_blank" >10.1137/12088286X</a>
Alternative languages
Result language
angličtina
Original language name
Adhesive contact of visco-elastic bodies and defect measures arising by vanishing viscosity
Original language description
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. The asymptotics for the viscosity or for external loading speed approaching zero is proved in some special cases, in particular when inertia is neglected or when delamination is in Mode II (pure shear). The solutions thus obtained involve certain defect-like measures recording in some sense natural additional energy dissipated in the bulk due to (vanishing) viscosity. Reflecting also the conventional engineering concept, the delamination is thus driven rather by stress than energy. An explicit example leading to a nontrivial defect measure is given.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Mathematical Analysis
ISSN
0036-1410
e-ISSN
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Volume of the periodical
45
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
26
Pages from-to
101-126
UT code for WoS article
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EID of the result in the Scopus database
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