Recurrence equation for a determination of the generalised stretch function

0359572 - ÚH 2012 RU eng A - Abstract
Kharlamov, Alexander A. - Filip, Petr
Recurrence equation for a determination of the generalised stretch function.
7th Annual European Rheology Conference. Conference Book. Book of Abstracts. Moscow: Vinogradov Society of Rheology, 2011. s. 113. ISBN 978-5-88149-485-8.
[AERC 2011 /7./. 10.05.2011-14.05.2011, Suzdal]
R&D Projects: GA ČR GA103/09/2066
Institutional research plan: CEZ:AV0Z20600510
Keywords : stretch function * strain invariants * recurrence equation
Subject RIV: BK - Fluid Dynamics

A stretch function quantifying molecular length after deformation is expressed through the full solid angle integral of the absolute value of deformed unit vector. Unlike the classical stretch function, a generalised one is characterized by an arbitrary power of the unit vector in integrand. The aim of this contribution is to derive a recurrence equation for this function and to find an approximate expression for the generalised stretch function in terms of strain invariants.
Permanent Link: http://hdl.handle.net/11104/0197337