Quasistatic inflation processes within compliant tubes : Part 2

Vogt, Werner GND; Steigenberger, Joachim GND; Maißer, Peter GND

In former work, 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 Part 2 now presents corresponding simulation results. A short but complete introduction to the theory makes the paper selfconsistent.

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Vogt, Werner / Steigenberger, Joachim / Maißer, Peter: Quasistatic inflation processes within compliant tubes. Part 2. 2015.

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