Shape Memory Alloys: modeling and applications. Elio Sacco Dipartimento di Meccanica, Strutture, A. & T. University of Cassino

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1 Shape Memory Alloys: modeling and applications Elio Sacco Dipartimento di Meccanica, Strutture, A. & T. University of Cassino

2 Ferdinando Auricchio Sonia Marfia J.N. Reddy Elio Sacco

3 F. Auricchio, E. Sacco Bending of shape-memory-alloy beams. ECCOMAS 96, 1996 F. Auricchio, E. Sacco An integration algorithm for a superelastic shape-memory-alloy model. Int. Conf. Computational Mechanics, Padova, settembre 1996 F. Auricchio, E. Sacco A SMA thermomechanical finite-element beam model. Shape Memory and Superelastic Technologies: Engineering and Biomedical Applications, Pacific Grove (U.S.A.) 2-6 March, 1997 F. Auricchio, E. Sacco A one-dimensional model for superelastic shapememory alloys with different elastic properties between austenite and martensite. Int. J. Non-Linear Mechanics, vol. 32-6, pp , 1997 F. Auricchio, E. Sacco A superelastic shape-memory-alloy beam model. J. Intelligent Material Systems and Structures, vol. 8, pp , 1997 F. Auricchio, E. Sacco Modellazione ed algoritmo di integrazione per leghe a memoria di forma superelastiche. IV Convegno Nazionale AIMAT, Cagliari 8-11 giugno 1998 F. Auricchio, E. Sacco Shape-memory alloy linear and angular actuators ICIM Proceedings of the fourth International Conference on intelligent materials, Makuhai, Japan October F. Auricchio, E. Sacco A temperature-dependent beam for shape-memory alloys: constitutive modelling, finite element implementation and numerical simulations. Computer Methods in Applied Mechanics, vol. 174, pp , 1999 F. Auricchio, E. Sacco Modelling of the rate-dependent superelastic behavior of shape-memory alloys. ECCM, August 31-September 3, Munchen, Germany 1999 F. Auricchio, E. Sacco Thermo-mechanical behavior of a shape-memory alloy beam in the superelastic range ECCOMAS, Barcelona,11-14 September 2000 F. Auricchio, M. Di Loreto, E. Sacco Finite-element Analysis of Stenotic Artery Revascularization Through a Stent Insertion. Computer Methods in Biomechanics and Biomedical Engineering, Vol. 4, pp , 2001.

4 F. Auricchio, E. Sacco Thermo-mechanical modelling of a superelastic shape-memory wire under cyclic stretching-bending loadings. International Journal of Solids and Structures, vol. 38, pp , 2001 F. Auricchio, L. Petrini, R. Pietrabissa, E. Sacco Modeling of shape-memory-alloy orthodontic appliances XV Congresso AIMETA di Meccanica Teorica e Applicata,Taormina, 26-29/09/ 2001 S. Marfia, E. Sacco Training effects in the modeling of SMA materials. Third Joint Conference of Italian Group of Computational Mechanics and Ibero-Latin America Association of Computational Methods in Engineering, Giulianova (TE), June 24-26, S. Marfia, J.N. Reddy, E. Sacco Laminated SMA beams finite elements, WCCM V Fifth World Congress on Computational Mechanics, Vienna, July 7-12, S. Marfia, J.N. Reddy, E. Sacco, Superelastic and shape memory effects for laminated SMA beams. AIAA Journal, Vol. 41, No.1, pp , 2003 F. Auricchio, L. Petrini, R. Pietrabissa, E. Sacco Numerical modeling of shape memory alloys in orthodontics. Computer Modeling in Engineering and Sciences, Vol. 4, pp , F. Auricchio, S. Marfia, E. Sacco Modeling of SMA materials: training and two way memory effects, Computers and Structures, Vol. 81, pp , S. Marfia, E. Sacco Modeling of fiber reinforced SMA. Composite in Costructions 2003, D. Bruno, G. Spadea, N. Swamy (Eds), Editoriale BIOS, S. Marfia, E. Sacco Micromechanics of fiber reinforced SMA composites. XVI Congresso AIMETA di Meccanica Teorica e Applicata, Ferrara, 9-12 settembre S. Marfia, E. Sacco Micromechanics and homogenization of SMA-wire reinforced materials. J. of Applied Mechanics, Vol. 72, pp , S. Marfia, E. Sacco Analysis of SMA composite laminates using a multiscale modeling technique. Int. J. Numerical Method Engineering. In press 2006.

5 Outline of the presentation Shape memory alloys behavior and applications SE 1D SMA model SE SM 1D thermo-elastic SMA model SE SM TWME 1D SMA model accounting for training effect SE SM 3D SMA model

6 SMA behavior and applications SMA behavior under uniaxial test High temperature Superelastic effect Low temperature Shape memory effect Mechanical recover Thermal recover

7 Shape memory alloys (SMA) reversible changes of the crystallographic structure, depending on the temperature and on the state of stress: austenite stable at high temperature and low stress martensite is stable at low temperature and high stress. ability to undergo reversible large deformations under loading/thermal cycles austenite austenite-martensite martensite-austenite martensite

8 SMA Phase transformations

9 Monocristallo di martensite Macroscopic deformation (shape deformation) Interface (habit plane invariant plane) Homogeneous and linear transformation Martensite Variants multi-variant Martensite single-variant Martensite

10 Considered phase trasformations

11 Biomedical applications: orthodontic, orthopedic, guide systems, stent, glasses, micro-actuators SMA applications Mechanical applications: actuators, thermal valves, connectors, opening and closure systems Structural applications: vibration control, shape control, dampers

12 Superelastic effect. SMA applications

13 . SMA applications (surgey)

14 Analisi agli elementi finiti della rivascolarizzazione di un arteria stenotica tramite STENT Configurazione di uno STENT del tipo Palmaz-Schatz nel catetere di trasporto prima dell espansione, in una vista 3D.

15 . SMA applications (orthodontic) Superelastic effect: constant force during the teeth movement After only 3 weeks of therapy!!

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