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Quasistatic inflation processes within compliant tubes
Author(s) -
Vogt Werner,
Steigenberger Joachim,
Maißer Peter
Publication year - 2017
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201500276
Subject(s) - quasistatic process , statics , constraint (computer aided design) , work (physics) , tube (container) , mechanics , process (computing) , classical mechanics , physics , computer science , control theory (sociology) , mechanical engineering , engineering , control (management) , quantum mechanics , artificial intelligence , operating system
In former work [7][A. Hoffmann, 2006], [8][H. Koch, 2009], and [9][H. Shinohara, 2006], 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.