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The Interplay of Convection, Conduction and Phase Transition in a Shape-Memory-Alloy

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Optimal Control of Complex Structures

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 139))

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Abstract

A shape memory wire dragged through a heating chamber undergoes external heating by conduction and internal heating due to the latent heat of the phase transition that is triggered by the supply of heat. Depending on parameters the wire may undergo a rapid transition to a stationary state, or a limit cycle in phase fraction and temperature, or a damped oscillation to a vortex point.

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References

  1. I. Müller, Pseudoelasticity in Shape Memory Alyos - An Extreme Case of Thermo-elasticity, Proc. Symp. Termoelasticità Finita. Mec. dei Lincei, Rome May/June 1985 (1985)

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  2. M. Achenbach, Ein Model zur Simulation des Last-Verformungs-Temperaturverhaltens von Legierungen mit Formerinnerungsvermögen, Dissertation TU Berlin (1986)

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  3. I. Müller and S. Seelecke, Thermodynamic Aspects of Shape Memory Alloys Mathematical & Comp. Modeling 465 (in press).

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  4. S. Seelecke and I. Müller, Shape memory alloy actuators in smart structures - modelling and simulation, Appl. Mech. Rev. (submitted).

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  5. E. da Silva, Zur Kalorimetrie von Gedächtnislegierungen und zu ihrer Anwendung als elektrisch aktivierte Aktuatoren,Dissertation TU Berlin (2000).

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Author information

Authors and Affiliations

  1. Faculty of Processing Sciences Thermodynamics TU-Berlin, Fasanenstr. 90, Berlin, D-10623, Germany

    Ingo Müller

  2. Materials Science Institute (WW), Aachen University of Technology, 52056, Aachen, Germany

    Norbert Papenfuß-Janzen (Head of Modeling and Simulation Group)

  3. Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC, 27695-7910, USA

    Stefan Seelecke

Authors
  1. Ingo Müller
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  2. Norbert Papenfuß-Janzen
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  3. Stefan Seelecke
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik, Arbeitsgruppe 10, Technische Universität Darmstadt, Schlossgartenstrasse 7, 64289, Darmstadt, Germany

    Günter Leugering

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© 2001 Springer Basel AG

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Müller, I., Papenfuß-Janzen, N., Seelecke, S. (2001). The Interplay of Convection, Conduction and Phase Transition in a Shape-Memory-Alloy. In: Hoffmann, KH., Lasiecka, I., Leugering, G., Sprekels, J., Tröltzsch, F. (eds) Optimal Control of Complex Structures. ISNM International Series of Numerical Mathematics, vol 139. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8148-7_15

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  • DOI: https://doi.org/10.1007/978-3-0348-8148-7_15

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9456-2

  • Online ISBN: 978-3-0348-8148-7

  • eBook Packages: Springer Book Archive

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