Joined dissimilar isotropic elastic cylindrical membranes under internal pressure and longitudinal tension

Hart V.G. and Shi J. (1991) Joined dissimilar isotropic elastic cylindrical membranes under internal pressure and longitudinal tension. Quarterly Journal of Mechanics and Applied Mathematics, 44 4: 581-600. doi:10.1093/qjmam/44.4.581


Author Hart V.G.
Shi J.
Title Joined dissimilar isotropic elastic cylindrical membranes under internal pressure and longitudinal tension
Journal name Quarterly Journal of Mechanics and Applied Mathematics   Check publisher's open access policy
ISSN 0033-5614
Publication date 1991-01-01
Sub-type Article (original research)
DOI 10.1093/qjmam/44.4.581
Volume 44
Issue 4
Start page 581
End page 600
Total pages 20
Subject 1312 Molecular Biology
2613 Statistics and Probability
2605 Computational Mathematics
3104 Condensed Matter Physics
2604 Applied Mathematics
2211 Mechanics of Materials
2210 Mechanical Engineering
2206 Computational Mechanics
2213 Safety, Risk, Reliability and Quality
Abstract The theory of the finite deformation of elastic membranes is applied to the problem of two initially circular semi-infinite cylindrical membranes of the same radius but of different materials joined longitudinally at a cross-section. The body is inflated by constant interior pressure and is also extended longitudinally. An exact solution is found for an arbitrary material. Also considered is a similar problem where two semi-infinite cylindrical membranes of the same material are separated by a cuff of different material. Numerical solutions for a Mooney material are found for a variety of pressures and longitudinal tensions. The model can be considered as a first approximation in the study of surgical implants in an artery.
Q-Index Code C1
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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Created: Tue, 13 Sep 2016, 14:49:19 EST by System User