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A constitutive framework for modelling thin incompressible viscoelastic materials under plane stress in the finite strain regime
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
2011 (English)In: Mechanics of time-dependant materials, ISSN 1385-2000, E-ISSN 1573-2738, Vol. 15, no 4, 389-406 p.Article in journal (Refereed) Published
Abstract [en]

Rubbers and soft biological tissues may undergo large deformations and are also viscoelastic. The formulation of constitutive models for these materials poses special challenges. In several applications, especially in biomechanics, these materials are also relatively thin, implying that in-plane stresses dominate and that plane stress may therefore be assumed. In the present paper, a constitutive model for viscoelastic materials in the finite strain regime and under the assumption of plane stress is proposed. It is assumed that the relaxation behaviour in the direction of plane stress can be treated separately, which makes it possible to formulate evolution laws for the plastic strains on explicit form at the same time as incompressibility is fulfilled. Experimental results from biomechanics (dynamic inflation of dog aorta) and rubber mechanics (biaxial stretching of rubber sheets) were used to assess the proposed model. The assessment clearly indicates that the model is fully able to predict the experimental outcome for these types of material.

Place, publisher, year, edition, pages
2011. Vol. 15, no 4, 389-406 p.
Keyword [en]
Viscoelastic, Finite strain, Large deformation, Plane stress, Rubber, Incompressible
National Category
Applied Mechanics
URN: urn:nbn:se:kth:diva-55261DOI: 10.1007/s11043-011-9159-4ISI: 000297550800005ScopusID: 2-s2.0-84855663832OAI: diva2:471412
QC 20120102Available from: 2012-01-02 Created: 2012-01-02 Last updated: 2012-01-02Bibliographically approved

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Kroon, Martin
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