Bishko, G., McLeish, T.C.B., Harlen, O.G. and Larson, R.G. (1997) Theoretical molecular rheology of branched polymers in simple and complex flows: the pom-pom model. Physical Review Letters, 79 (12). pp. 2352-2355. ISSN 0031-9007
Available under licence : See the attached licence file.
The nonlinear rheological constitutive equation of a class of multiply branched polymers is derived using the tube model. The molecular architecture may be thought of as two q-arm stars connected by a polymeric ''crossbar.'' The dynamics lead to a novel integrodifferential equation which exhibits extreme strain hardening in extension and strain softening in shear. Calculations of flow through a contraction predict that the degree of long-chain branching controls the growth of corner vortices, in agreement with experiments on commercial branched polymers.
|Copyright, Publisher and Additional Information:||© 1997 The American Physical Society. Reproduced in accordance with the publisher's self-archiving policy.|
|Institution:||The University of Leeds|
|Academic Units:||The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds)
The University of Leeds > University of Leeds Research Centres and Institutes > Interdisciplinary Research Centre in Polymer Science and Technology (Leeds)
The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
|Depositing User:||Repository Officer|
|Date Deposited:||16 Aug 2006|
|Last Modified:||04 Jun 2014 13:46|
|Publisher:||American Physical Society|