Free and constrained inflation of a pre-stretched cylindrical membrane
2014 (English)In: Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, E-ISSN 1471-2946, Vol. 470, no 2169, UNSP 20140282- p.Article in journal (Refereed) Published
This paper presents the free and constrained inflation of a pre-stretched hyperelastic cylindrical membrane and a subsequent constrained deflation. The membrane material is assumed as a homogeneous and isotropic Mooney-Rivlin solid. The constraining soft cylindrical substrate is assumed to be a distributed linear stiffness normal to the undeformed surface. Both frictionless and adhesive contact are modelled during the inflation as an interaction between the dry surfaces of the membrane and the substrate. An adhesive contact is modelled during deflation. The free and constrained inflation yields governing equations and boundary conditions, which are solved by a finite difference method in combination with a fictitious time integration method. Continuity in the principal stretches and stresses at the contact boundary is dependent on the contact conditions and inflation-deflation phase. The pre-stretch has a counterintuitive softening effect on free and constrained inflation. The variation of limit point pressures with pre-stretch and the occurrence of a cusp point is shown. Interesting trends are observed in the stretch and stress distributions after the interaction of the membrane with soft substrate, which underlines the effect of material parameters, pre-stretch and constraining properties.
Place, publisher, year, edition, pages
2014. Vol. 470, no 2169, UNSP 20140282- p.
contact conditions, soft substrate, Mooney-Rivlin, limit points, deflation, continuity
IdentifiersURN: urn:nbn:se:kth:diva-148597DOI: 10.1098/rspa.2014.0282ISI: 000338717800012OAI: oai:DiVA.org:kth-148597DiVA: diva2:737079
QC 201408112014-08-112014-08-112016-05-18Bibliographically approved