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Non-unique response of Mooney-Rivlin model in bi-axial membrane stress
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-5819-4544
KTH, School of Engineering Sciences (SCI), Mechanics.
2014 (English)In: Computers & structures, ISSN 0045-7949, E-ISSN 1879-2243, Vol. 144, 12-22 p.Article in journal (Refereed) Published
Abstract [en]

The commonly used two-parameter Mooney-Rivlin incompressible hyper-elastic material model can show non-intuitive responses under certain conditions. This paper shows that critical states with non-unique responses occur at least at very specific bi-axial stress states. This can happen for cases where the constant related to the second invariant of strain is positive, but not for the case with this constant equal to zero (the Neo-Hookean case). The dependence of the instabilities on the ratio between the two constitutive constants is shown by evaluated fold lines. The instability is shown to be related to the imposed boundary conditions. An analytical treatment of the problem shows that dynamic edge effects correspond to the static instability.

Place, publisher, year, edition, pages
2014. Vol. 144, 12-22 p.
Keyword [en]
Mooney-Rivlin material, Edge tractions, Parameter dependence, Kinematic constraints, Dynamic instability
National Category
Computer Science Civil Engineering
URN: urn:nbn:se:kth:diva-156433DOI: 10.1016/j.compstruc.2014.07.021ISI: 000343847400002ScopusID: 2-s2.0-84906698517OAI: diva2:768576

QC 20141204

Available from: 2014-12-04 Created: 2014-11-28 Last updated: 2014-12-04Bibliographically approved

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