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An 8-chain Model for Rubber-like Materials Accounting for Non-affine Chain Deformations and Topological Constraints
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
2011 (English)In: Journal of elasticity, ISSN 0374-3535, E-ISSN 1573-2681, Vol. 102, no 2, 99-116 p.Article in journal (Refereed) Published
Abstract [en]

Several industrial applications involve rubber and rubber-like materials, and it is important to be able to predict the constitutive response of these materials. In the present paper, a new constitutive model for rubber-like solids is proposed. The model is based on the 8-chain concept introduced by Arruda and Boyce (J. Mech. Phys. Solids 41, 389-412, 1993) to which two new components are added. Real polymer networks do not deform affinely, and in the proposed model this is accounted for by the inclusion of an elastic spring, acting in series with the representative polymer chain. Furthermore, real polymer chains are not completely free to move, which is modelled by imposing a topological constraint on the transverse motions of the representative polymer chain. The model contains five model parameters and these need to be determined on the basis of experimental data. Three: experimental studies from the literature were used to assess the proposed model. The model was able to reproduce experimental data performed under conditions of uniaxial tension, generalised plane deformation, and biaxial tension with an excellent accuracy. The strong predictive abilities together with the numerically efficient structure of the model make it suitable for implementation in a finite element context.

Place, publisher, year, edition, pages
2011. Vol. 102, no 2, 99-116 p.
Keyword [en]
Rubber, Elastomer, Hyperelastic, Strain energy, Non-affine, Tube model
National Category
Materials Engineering Mechanical Engineering
URN: urn:nbn:se:kth:diva-31003DOI: 10.1007/s10659-010-9264-7ISI: 000286693500001ScopusID: 2-s2.0-79851515095OAI: diva2:402870
QC 20110310Available from: 2011-03-10 Created: 2011-03-07 Last updated: 2011-03-10Bibliographically approved

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Kroon, Martin
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