A semi-analytic analysis of shape memory alloy thick-walled cylinders under internal pressure

Archive of Applied Mechanics

Volumn 81, Issue 8, 2011, Pages 1093-1116

  Mirzaeifar, Reza ^a   Shakeri, Mahmoud ^b   Desroches, Reginald ^c   Yavari, Arash ^c  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^c Georgia Institute of Technology   (United States)

Author keywords

Internal pressure; Pseudoelastic; Shape memory alloy (SMA); Thick walled cylinder

Indexed keywords

CLOSED FORM SOLUTIONS; CONSTITUTIVE RELATIONS; EQUILIBRIUM EQUATION; FINITE NUMBER; GLOBAL SOLUTIONS; INTERNAL PRESSURE; NUMERICAL EXAMPLE; PLANE STRESS AND PLANE STRAIN CONDITIONS; PSEUDOELASTIC; PSEUDOELASTIC RESPONSE; SHAPE MEMORY ALLOY; SHAPE MEMORY ALLOY (SMA); STRESS CONTINUITY CONDITIONS; THICK WALLED CYLINDERS; THREE DIMENSIONAL FINITE ELEMENTS;

ALLOYS; CYLINDERS (SHAPES); FINITE ELEMENT METHOD; NUMERICAL METHODS; SHAPE MEMORY EFFECT;

THREE DIMENSIONAL;

EID: 79959520782     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-010-0468-x     Document Type: Article

References (35)

1. V. Birman 1999 Analysis of an infinite shape memory alloy plate with a circular hole subjected to biaxial tension Int. J. Solids Struct. 36 167 178 0960.74039 10.1016/S0020-7683(97)00273-4
2. Z. Bo D.C. Lagoudas 1999 Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part I: theoretical derivations Int. J. Eng. Sci. 37 1089 1140 1695186 1210.74049 10.1016/S0020-7225(98)00113-X
3. Boresi A.P., Schmidt R.J.: Advanced Mechanics of Materials, 6th ed. Wiley, Hoboken (2003)
4. J.G. Boyd D.C. Lagoudas 1996 A thermodynamic constitutive model for the shape memory alloy materials. Part I. the monolithic shape memory alloy Int. J. Plast. 12 805 842 0898.73020 10.1016/S0749-6419(96)00030-7 (Pubitemid 126404033)
5. G.B. Brook 1983 Applications of titanium-nickel shape memory alloys Mater. Des. 4 4 835 840 10.1016/0261-3069(83)90185-1 (Pubitemid 14508367)
6. R. DesRoches B. Smith 2004 Shape memory alloys in seismic resistant design and retrofit: a critical review of their potential and limitations J. Earthquake Eng. 8 415 429 10.1142/S1363246904001298 (Pubitemid 39503075)
7. X.Q. Feng Q.P. Sun 2004 Shakedown analysis of shape memory alloy structures Int. J. Plast. 23 2 183 206 10.1016/j.ijplas.2006.04.001
8. X.Q. Feng Q.P. Sun 2007 In situ profilometry for non-uniform strain field measurement of NiTi shape memory alloy microtubing under complex stress states Smart Mater. Struct. 16 1 S179 S186 2313470 10.1088/0964-1726/16/1/S18 (Pubitemid 46485455)
9. Forsythe G.E., Malcolm M.A., Moler C.B.: Computer Methods for Mathematical Computations. Prentice-Hall, Englewood Cliffs (1976)
10. D.J. Hartl D.C. Lagoudas 2007 Aerospace applications of shape memory alloys Proc. Inst. Mech. Eng. G J. Aerosp. Eng. 221 535 552 (Pubitemid 47501378)
11. Y.J. He Q.P. Sun 2009 Scaling relationship on macroscopic helical domains in NiTi tubes Int. J. Solids Struct. 46 4242 4251 1176.74073 10.1016/j.ijsolstr.2009.08.013
12. K.K. Jee J.H. Hana W.Y. Jang 2006 A method of pipe joining using shape memory alloys Mater. Sci. Eng. A 438 440 1110 1112 (Pubitemid 44645251)
13. Kim, C., Jang, D.H., Choi, H.S.: An externally pressurized elliptic composite cylinder stiffened with activated SMA strips. In: 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, pp. 22-25. Denver, Colorado (2002)
14. K. Kuribayashi K. Tsuchiya Z. You D. Tomusb M. Umemotob T. Ito M. Sasaki 2006 Self-deployable origami stent grafts as a biomedical application of Ni-rich TiNi shape memory alloy foil Mater. Sci. Eng. A 419 131 137 10.1016/j.msea.2005.12.016
15. D.C. Lagoudas Z. Bo M.A. Qidwai 1996 A unifed thermodynamic constitutive model for SMA and finite element analysis of active metal matrix composite Mech. Compos. Mater. Struct. 3 153 179 10.1002/(SICI)1234-986X(199606)3:2<153:: AID-MCM36>3.3.CO;2-J
16. D.C. Lagoudas K. Ravi-Chandar K. Sarh P. Popov 2003 Dynamic loading of polycrystalline shape memory alloy rods Mech. Mater. 35 689 716 10.1016/S0167-6636(02)00199-0
17. Lagoudas, D.C. (eds): Shape memory alloys: modeling and engineering applications. Springer, New York (2008)
18. Langelaar, M., Keulen, F.V.: Modeling of a shape memory alloy active catheter. In: 45th AIAA Structures, Structural Dynamics and Materials Conference, pp. 19-22. Palm Springs, Calofornia (2004)
19. Z.Q. Li Q.P. Sun 2002 The initiation and growth of macroscopic martensite band in nano-grained NiTi microtube under tension Int. J. Plast. 18 1481 1498 10.1016/S0749-6419(02)00026-8 (Pubitemid 35000258)
20. C. Liang C.A. Rogers 1992 The multi-dimensional constitutive relations of shape memory alloys J. Eng. Math. 26 429 443 1177963 0765.73004 10.1007/BF00042744
21. L.G. Machado M.A. Savi 2003 Medical applications of shape memory alloys Braz. J. Med. Biol. Res. 36 683 691 (Pubitemid 36880739)
22. R. Mirzaeifar M. Shakeri M. Sadighi 2009 Nonlinear finite element formulation for analyzing shape memory alloy cylindrical panels Smart Mater. Struct. 18 3 035002 10.1088/0964-1726/18/3/035002
23. R. Mirzaeifar R. DesRoches A. Yavari 2010 Exact solutions for pure torsion of shape memory alloy circular bars Mech. Mater. 42 8 797 806 10.1016/j.mechmat.2010.06.003
24. I. Müller H. Xu 1991 On the pseudo-elastic hysteresis Acta Metal. Mater. 39 3 263 271 10.1016/0956-7151(91)90305-K
25. I. Müller S. Seelecke 2001 Thermodynamic aspects of shape memory alloys Math. Comput. Model. 34 12-13 1307 1355 1066.74043 10.1016/S0895-7177(01) 00134-0 (Pubitemid 33141505)
26. J.S.N. Paine C.A. Rogers R.A. Smith 1995 Adaptive composite-materials with shape-memory alloy actuators for cylinders and pressure-vessels J. Intell. Mater. Syst. Struct. 6 2 210 219 10.1177/1045389X9500600208
27. Paine, J.S.N., Rogers, C.A.: Using the adaptive SMA composite cylinder concept to reduce radial dilation in composite pressure vessels. In: Chopra, I. (ed.) Smart Structures and Materials 1995: Smart Structures and Integrated Systems, Proc. SPIE, vol. 2443, pp. 195-205
28. E. Patoor P. Barbe A. Eberhardt M. Berveiller 1988 Thermomechanical behavior of shape memory alloys Arch. Mech. 40 775 794
29. E. Patoor D.C. Lagoudas P.B. Entchev L.C. Brinson X. Gao 2006 Shape memory alloys, part I: general properties and modeling of single crystals Mech. Mater. 38 391 429 10.1016/j.mechmat.2005.05.027 (Pubitemid 43230079)
30. L. Petrini F. Migliavacca P. Massarotti S. Schievano G. Dubini F. Auricchio 2005 Computational studies of shape memory alloy behavior in biomedical applications J. Biomech. Eng. 127 716 725 10.1115/1.1934203 (Pubitemid 41116932)
31. M.A. Qidwai D.C. Lagoudas 2000 On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material Int. J. Plast. 16 1309 1343 1032.74043 10.1016/S0749-6419(00)00012-7
32. M.A. Qidwai D.C. Lagoudas 2000 Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms Int. J. Numer. Methods Eng. 47 1123 1168 0960.74067 10.1002/(SICI)1097-0207(20000228) 47:6<1123::AID-NME817>3.0.CO;2-N (Pubitemid 30542454)
33. K. Tanaka 1990 A phenomenological description on thermomechanical behavior of shape memory alloys ASME J. Pressure Vessel Technol. 112 158 163 10.1115/1.2928602
34. K. Tanaka F. Nishimura T. Hayashi H. Tobushi C. Lexcellent 1995 Phenomenological analysis on subloops and cyclic behavior in shape memory alloys under mechanical and/or thermal loads Mech. Mater. 19 281 292 10.1016/0167-6636(94)00038-I
35. M.B. Xua G. Song 2004 Adaptive control of vibration wave propagation in cylindrical shells using SMA wall joint J. Sound Vib. 278 307326