On the approximation of the generalised stretch function

0361178 - ÚH 2012 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
Kharlamov, Alexander A. - Filip, Petr
On the approximation of the generalised stretch function.
Novel Trends in Rheology IV. Melville, New York: American Institute of Physics, 2011 - (Zatloukal, M.), s. 5-13. AIP conference proceedings, vol. 1375. ISBN 978-0-7354-0935-4. ISSN 0094-243X.
[Novel Trends in Rheology /4./. Zlín (CZ), 27.07.2011-28.07.2011]
Grant CEP: GA ČR GA103/09/2066
Výzkumný záměr: CEZ:AV0Z20600510
Klíčová slova: polymers * molecule length * stretch function * recurrence equation * finger tensor * cauchy tensor
Kód oboru RIV: BK - Mechanika tekutin

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 2p power 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].
Trvalý link: http://hdl.handle.net/11104/0198561