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A Two Dimensional Model of the Thin Laminar Wall of a Curvilinear Flexible Pipe
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
St Petersburg State University, Russia; St Petersburg State Polytech University, Russia.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-8976-8299
2018 (English)Report (Other academic)
Abstract [en]

We present a two dimensional model describing the elastic behaviour of the wall of a curved pipe to model blood vessels in particular. The wall has a laminate structure consisting of several anisotropic layers of varying thickness and is assumed to be much smaller in thickness than the radius of the vessel which itself is allowed to vary. Our two-dimensional model takes the interaction of the wall with the surrounding material and the fluid flowing inside into account and is obtained via a dimension reduction procedure. The curvature and twist of the vessel axis as well as the anisotropy of the laminate wallpresent the main challenges in applying the dimension reduction procedure so plenty of examples of canonical shapes of vessels and their walls are supplied with explicit systems of dierential equations at the end.

Place, publisher, year, edition, pages
2018. , p. 20
Series
LiTH-MAT-R, ISSN 0348-2960 ; 6
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-148014ISRN: LiTH-MAT-R--2018/06--SEOAI: oai:DiVA.org:liu-148014DiVA, id: diva2:1209799
Available from: 2018-05-24 Created: 2018-05-24 Last updated: 2018-05-24Bibliographically approved

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Kozlov, VladimirRule, David

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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