Non-unique response of Mooney-Rivlin model in bi-axial membrane stress
2014 (English)In: Computers & structures, ISSN 0045-7949, E-ISSN 1879-2243, Vol. 144, 12-22 p.Article in journal (Refereed) Published
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.
Mooney-Rivlin material, Edge tractions, Parameter dependence, Kinematic constraints, Dynamic instability
Computer Science Civil Engineering
IdentifiersURN: urn:nbn:se:kth:diva-156433DOI: 10.1016/j.compstruc.2014.07.021ISI: 000343847400002ScopusID: 2-s2.0-84906698517OAI: oai:DiVA.org:kth-156433DiVA: diva2:768576
QC 201412042014-12-042014-11-282014-12-04Bibliographically approved