Jump conditions in stress relaxation and creep experiments of Burgers type fluids: a study in the application of Colombeau algebra of generalized functions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10100973" target="_blank" >RIV/00216208:11320/11:10100973 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00033-010-0109-9" target="_blank" >http://dx.doi.org/10.1007/s00033-010-0109-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00033-010-0109-9" target="_blank" >10.1007/s00033-010-0109-9</a>

Result language

angličtina

Original language name

Jump conditions in stress relaxation and creep experiments of Burgers type fluids: a study in the application of Colombeau algebra of generalized functions

Original language description

We discuss stress relaxation and creep experiments of fluids that are generalizations of the model due to Burgers by allowing the material moduli such as the viscosities and relaxation and retardation times to depend on the stress. The physical problem,which is cast within the context of one dimension, leads to an ordinary differential equation that involves nonlinear terms like product of a function with a jump discontinuity and the derivative of a function with a jump discontinuity. As the equationsare nonlinear, standard techniques that are used to study problems concerning linear viscoelastic fluids such as Laplace transforms and the theory of distributions are not applicable. We find it necessary to seek the solution in a more general setting. We show that the solution to the governing equation can be found in the sense of the generalized functions introduced by Colombeau.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BK - Liquid mechanics

OECD FORD branch

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Project

<a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Zeitschrift für Angewandte Mathematik und Physik

ISSN

0044-2275

e-ISSN

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Volume of the periodical

62

Issue of the periodical within the volume

4

Country of publishing house

CH - SWITZERLAND

Number of pages

33

Pages from-to

707-740

UT code for WoS article

000293184300009

EID of the result in the Scopus database

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