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- Title
Quasistatic inflation processes within compliant tubes.
- Authors
Vogt, Werner; Steigenberger, Joachim; Maißer, Peter
- Abstract
In former work , , and , a mechanical system was considered that models a segment of a live or artificial worm or a balloon for angioplasty that is placed within a cylindrical rigid or compliant tube (vein). Based on the Principle of Minimal Potential Energy and treated as an optimal control problem with state constraint the authors derived a system of differential equations that describes the statics of the inflation process including the shape of the inflated system and the contact forces between balloon and vein. This paper now presents corresponding simulation results. A short but complete introduction to the theory makes the paper selfconsistent.
- Subjects
BIOMECHANICS; OPTIMAL control theory; ANGIOPLASTY; QUASISTATIC processes; POTENTIAL energy; DIFFERENTIAL equations; COMPUTER simulation
- Publication
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2017, Vol 97, Issue 8, p973
- ISSN
0044-2267
- Publication type
Article
- DOI
10.1002/zamm.201500276