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A note to the simplification in description of some molecular-based polymer models
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SYSNO ASEP 0342988 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title A note to the simplification in description of some molecular-based polymer models Author(s) Kharlamov, Alexander (UH-J)
Filip, Petr (UH-J) ORCID, RID, SAINumber of authors 2 Source Title Engineering Mechanics 2010, Book of extended abstracts. - Prague : Institute of Thermomechanics AS CR, v. v. i., 2010 / Zolotarev I. - ISBN 978-80-87012-26-0 Pages article no. 025 Number of pages 4 s. Publication form CD-ROM - CD-ROM Action Engineering Mechanics 2010 Event date 10.05.2010-13.05.2010 VEvent location Svratka Country CZ - Czech Republic Event type EUR Language eng - English Country CZ - Czech Republic Keywords polymer materials ; Doi-Edwards model ; integral Subject RIV BK - Fluid Dynamics R&D Projects GA103/09/2066 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z20600510 - UH-J (2005-2011) Annotation 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. Workplace Institute of Hydrodynamics Contact Soňa Hnilicová, hnilicova@ih.cas.cz, Tel.: 233 109 003 Year of Publishing 2011
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