Shape Memory Alloys: modeling and applications - unicas.it

Shape Memory Alloys:modeling and applications

Elio SaccoDipartimento di Meccanica, Strutture, A. & T.

University of Cassino

Ferdinando AuricchioFerdinando Auricchio

J.N.J.N. ReddyReddy

Sonia MarfiaSonia Marfia

Elio SaccoElio Sacco

• 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 shape-memory alloys with different elastic properties between austenite and martensite. Int. J. Non-Linear Mechanics, vol. 32-6, pp. 1101-1114, 1997

• F. Auricchio, E. Sacco A superelastic shape-memory-alloy beam model. J. Intelligent Material Systems and Structures, vol. 8, pp. 489-501, 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 5-7 1998

• 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. 171-190, 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 StenoticArtery Revascularization Through a Stent Insertion. Computer Methods in Biomechanics and Biomedical Engineering, Vol. 4, pp 249-263, 2001.

• F. Auricchio, E. Sacco Thermo-mechanical modelling of a superelasticshape-memory wire under cyclic stretching-bending loadings. International Journal of Solids and Structures, vol. 38, pp. 6123-6145, 2001

• F. Auricchio, L. Petrini, R. Pietrabissa, E. Sacco Modeling of shape-memory-alloy orthodonticappliances 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, 2002.

• S. Marfia, J.N. Reddy, E. Sacco Laminated SMA beams finite elements, WCCM V Fifth World Congress on Computational Mechanics, Vienna, July 7-12, 2002.

• S. Marfia, J.N. Reddy, E. Sacco, Superelastic and shape memory effects for laminated SMA beams. AIAA Journal, Vol. 41, No.1, pp. 100-109, 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. 365-380, 2003.

• F. Auricchio, S. Marfia, E. Sacco Modeling of SMA materials: training and two way memory effects, Computers and Structures, Vol. 81, pp. 2301–2317, 2003.

• S. Marfia, E. Sacco Modeling of fiber reinforced SMA. Composite in Costructions 2003, D. Bruno, G. Spadea, N. Swamy (Eds), Editoriale BIOS, 2003.

• S. Marfia, E. Sacco Micromechanics of fiber reinforced SMA composites. XVI Congresso AIMETA di Meccanica Teorica e Applicata, Ferrara, 9-12 settembre 2003.

• S. Marfia, E. Sacco Micromechanics and homogenization of SMA-wire reinforced materials. J. of Applied Mechanics, Vol. 72, pp. 259-268, 2005.

• S. Marfia, E. Sacco Analysis of SMA composite laminates using a multiscalemodeling technique. Int. J. Numerical Method Engineering. In press 2006.

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

Superelastic effect

Mechanical recover

High temperature

SMA behavior and applications

SMA behavior under uniaxial test

Shape memory effect

Thermal recover

Low temperature

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

SMASMAPhasePhasetransformationstransformations

Martensite Variants►► multimulti--variantvariant MartensiteMartensite►► singlesingle--variantvariant MartensiteMartensite

• Macroscopic deformation(shape deformation)

• Interface(habit plane → invariant plane)

• Homogeneous and lineartransformation

Monocristallo di martensite

Considered phase trasformations

Biomedical applications: orthodontic, orthopedic, guide systems, stent, glasses, micro-actuators

Mechanical applications:actuators, thermal valves, connectors, opening and closure systems

Structural applications: vibration control, shape control, dampers

SMA applications

Superelastic effect

…. SMA applications

…. SMA applications (surgey)

Configurazione di uno STENT del tipo Palmaz-Schatz nel catetere di trasporto prima dell’espansione, in una vista 3D.

Analisi agli elementi finiti della rivascolarizzazione di un arteria

stenotica tramite STENT

After only 3 weeks of therapy !!

…. SMA applications (orthodontic)

Superelastic effect: constant force during the

teeth movement