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Viscoelastic Behavior of Rubbery Materials$
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C. Michael Roland

Print publication date: 2011

Print ISBN-13: 9780199571574

Published to Oxford Scholarship Online: September 2011

DOI: 10.1093/acprof:oso/9780199571574.001.0001

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Networks

Networks

Chapter:
(p.120) 4 Networks
Source:
Viscoelastic Behavior of Rubbery Materials
Author(s):

C. M. Roland

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199571574.003.0004

The two approaches to analyzing the large strain behavior of rubbery networks are phenomenologically, using strain-energy functions drawn from continuum mechanics, and molecular models, which apply statistical mechanics to compute the effect of chain orientation on the entropy. The early rubber elasticity models ignored intermolecular interactions, whereas later developments (‘constraint models’) included the effect of entanglements or steric constraints on the mechanical stress. These constitutive equations for rubber elasticity are compared to experimental results, and the connection of network elasticity to the relaxation behavior is discussed. For conventional elastomers there is a compromise between stiffness and strength. Different methods to circumvent this limitation are described. Examples are given of the properties obtained with novel network architectures, including interpenetrating networks, double networks, bimodal networks, miscible heterogeneous networks, and deswollen networks.

Keywords:   rubber elasticity, Mooney–Rivlin equation, phantom network, affine model, Flory constraint model, Ogden equation, coupling model, fluctuation-dissipation theory, interpenetrating networks, double networks, bimodal networks, heterogeneous networks

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