2006
DOI: 10.1016/j.ijmecsci.2005.08.009
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Numerical evaluation of micro- to macroscopic mechanical behavior of carbon-black-filled rubber

Abstract: We investigate the characteristic deformation behavior of rubber with carbon black (CB) filler. The deformation behaviors of a plane strain rubber unit cell containing CB fillers under monotonic and cyclic strain are investigated by computational simulation with a nonaffine molecular-chain network model. The results reveal the substantial enhancement of the resistance of the rubber to macroscopic deformation, which is caused by the marked orientation hardening due to the highly localized deformation in the rub… Show more

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Cited by 30 publications
(30 citation statements)
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“…(4) provides the relationship between the Jaumann rate of Kirchoff stress , ij Sˆ, and the strain rate , kl  , as in Tomita, et al (2006). The penalty method is introduced to enforce the deformation under constant volume.…”
Section: Generalization Of Constitutive Equationsmentioning
confidence: 99%
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“…(4) provides the relationship between the Jaumann rate of Kirchoff stress , ij Sˆ, and the strain rate , kl  , as in Tomita, et al (2006). The penalty method is introduced to enforce the deformation under constant volume.…”
Section: Generalization Of Constitutive Equationsmentioning
confidence: 99%
“…Furthermore, Bergstrom and Boyce (2000) introduced the first invariant amplification for the effective prediction of deformation of filled rubbers. Tomita, et al (2006) provided the slightly modified version of the original model (a) by introducing the nonaffine eight-chain model (Tomita, et.al., 1995) instead of the conventional eight-chain model. An extended version of the eight-chain model (b), consists of eight standard-like models with two Langevin springs  ,  , and a dashpot  (Tomita, et al, 2008b).…”
Section: Fig3 Deformation Of Molecular Chainsmentioning
confidence: 99%
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