On the response of nonlinear viscoelastic materials in creep and stress relaxation experiments in the lubricated squeeze flow setting
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10332648" target="_blank" >RIV/00216208:11320/16:10332648 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4964662" target="_blank" >http://dx.doi.org/10.1063/1.4964662</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4964662" target="_blank" >10.1063/1.4964662</a>
Alternative languages
Result language
angličtina
Original language name
On the response of nonlinear viscoelastic materials in creep and stress relaxation experiments in the lubricated squeeze flow setting
Original language description
Rigorous analysis of the response of nonlinear materials to step inputs requires one to simultaneously handle the discontinuity, differentiation, and nonlinearity. This task is however beyond the reach of the standard theories such as the classical theory of distributions and presents a considerable mathematical difficulty. New advanced mathematical tools are necessary to handle the challenge. An elegant and relatively easy-to-use framework capable of accomplishing the task is provided by the Colombeau algebra, which is a generalisation of the classical theory of distributions to the nonlinear setting. We use the Colombeau algebra formalism and derive explicit formulae describing the response of incompressible Maxwell viscoelastic fluid subject to step load/deformation in the lubricated squeeze flow setting. Published by AIP Publishing.
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
BK - Liquid mechanics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physics of Fluids
ISSN
1070-6631
e-ISSN
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Volume of the periodical
28
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
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UT code for WoS article
000387592300014
EID of the result in the Scopus database
2-s2.0-84992472452