A note to the simplification in description of some molecular-based polymer models

0342988 - ÚH 2011 RIV CZ eng C - Conference Paper (international conference)
Kharlamov, Alexander - Filip, Petr
A note to the simplification in description of some molecular-based polymer models.
Engineering Mechanics 2010. Prague: Institute of Thermomechanics AS CR, v. v. i., 2010 - (Zolotarev, I.), Article no. 025. ISBN 978-80-87012-26-0.
[Engineering Mechanics 2010. Svratka (CZ), 10.05.2010-13.05.2010]
R&D Projects: GA ČR GA103/09/2066
Institutional research plan: CEZ:AV0Z20600510
Keywords : polymer materials * Doi-Edwards model * integral
Subject RIV: BK - Fluid Dynamics

One type of integral is frequently met in various description of behaviour of polymer materials through molecular-based models starting with the classical Doi-Edwards one. The integrand in this integral for which an integrated region represents a solid angle is formed by a product of a unit vector (pointed at an element of this region) with a deformation gradient tensor. This product is raised to an exponent that is not usually an integer. The aim of this contribution is to derive substantially simplified expression for this integral respecting high accuracy of an approximation.
Permanent Link: http://hdl.handle.net/11104/0185579