On the approximation of the generalised stretch function
Result description
The aim of this contribution is to study a generalised form of the basic integral expressing a ratio of the lengths of a random walk molecule in deformed and undeformed state. This generalization consists in raising the corresponding integrand to the 2ppower for which the special cases are met in several constitutive models describing behaviour of polymeric materials. For determining the integral there was found a recurrence equation providing a solution for any real p. There was found an asymptotic solution for the recurrence equation, p>0, which provides a basis for the approximations of the integral for p is an element of [0,1].
Keywords
polymersmolecule lengthstretch functionrecurrence equationfinger tensorcauchy tensor
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
On the approximation of the generalised stretch function
Original language description
The aim of this contribution is to study a generalised form of the basic integral expressing a ratio of the lengths of a random walk molecule in deformed and undeformed state. This generalization consists in raising the corresponding integrand to the 2ppower for which the special cases are met in several constitutive models describing behaviour of polymeric materials. For determining the integral there was found a recurrence equation providing a solution for any real p. There was found an asymptotic solution for the recurrence equation, p>0, which provides a basis for the approximations of the integral for p is an element of [0,1].
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BK - Liquid mechanics
OECD FORD branch
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Result continuities
Project
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Novel Trends in Rheology IV
ISBN
978-0-7354-0935-4
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
5-13
Publisher name
American Institute of Physics
Place of publication
Melville, New York
Event location
Zlín
Event date
Jul 27, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
CEP
BK - Liquid mechanics
Year of implementation
2011