Original title:
A note to the simplification in description of some molecular-based polymer models
Authors:
Kharlamov, Alexander ; Filip, Petr Document type: Papers Conference/Event: Engineering Mechanics 2010, Svratka (CZ), 2010-05-10 / 2010-05-13
Year:
2010
Language:
eng Abstract:
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.
Keywords:
Doi-Edwards model; integral; polymer materials Project no.: CEZ:AV0Z20600510 (CEP), GA103/09/2066 (CEP) Funding provider: GA ČR Host item entry: Engineering Mechanics 2010, ISBN 978-80-87012-26-0
Institution: Institute of Hydrodynamics AS ČR
(web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences. Original record: http://hdl.handle.net/11104/0185579