HORNÝ, L. Effect of axial prestretch on inflation instability in finitely extensible thin-walled tube. Bulletin of Applied Mechanics. 2014, 10(36), 5-10. ISSN 1801-1217.
Mechanical response of elastic materials undergoing large deformations exhibit several kinds of a loss of stability. Such a situation may occur, for instance, when a thin-walled cylinder is inflated by an internal pressure. The loss of stability is manifested by a non-monotonic relationship between the inflating pressure and the circumferential stretch of the tube. The results, known from the literature, show that hyperelastic materials with so called limiting chain extensibility property always exhibit a stable response for sufficiently small values of the limiting extensibility parameter Jm. In other words, rapid large strain stiffening prevents elastomeric materials from an onset of instability. The present study demonstrates how axial prestretch of the thin-walled tube affects the stability of the deformation. It is shown that for axial prestretches z = 1 (non-prestretched), 1.05, 1.1, 1.2, 1.5, 2, 3, and 5 the stable inflation is obtained for materials with Jm = 19.11, 20.32, 21.55, 24.06, 32.1, 47.43, 87.23, and 207.8, respectively. From which can be concluded that the higher the prestretch is, the more compliant material will show stable inflation. It was also found that the higher the prestretch is, the lower is the pressure at which the instability occurs.
eng
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Czech Technical University - Fac. of Mechanical Engineering
dc.relation.ispartof
Bulletin of Applied Mechanics
dc.subject
Axial prestretch
eng
dc.subject
Hyperelasticity
eng
dc.subject
Inflation instability
eng
dc.subject
Limiting chain extensibility
eng
dc.subject
Pressurization
eng
dc.title
Effect of axial prestretch on inflation instability in finitely extensible thin-walled tube
eng
dc.type
článek v časopise
cze
dc.type
journal article
eng
dc.relation.projectid
info:eu-repo/grantAgreement/Ministry of Health/NT/NT13302/CZ/The Optimalization of Physical Characteristics of Vascular Substitutes for Low Flow/OptCevNah