Exact solutions for pure torsion of shape memory alloy circular bars

Mechanics of Materials

Volumn 42, Issue 8, 2010, Pages 797-806

  Mirzaeifar, Reza ^a   Desroches, Reginald ^a   Yavari, Arash ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

Helical spring; Pure torsion; Shape memory alloy

Indexed keywords

CIRCULAR CROSS-SECTIONS; CLOSED FORM SOLUTIONS; EXACT SOLUTION; LOADING AND UNLOADING; MATERIAL PROPERTY; POLYCRYSTALLINE; PURE SHEAR; PURE TORSION; SHAPE MEMORY ALLOY; TORSIONAL RESPONSE;

ALLOYS; CERIUM ALLOYS; HELICAL SPRINGS; SHAPE MEMORY EFFECT; TORSIONAL STRESS; UNLOADING;

THREE DIMENSIONAL;

EID: 77955432414     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2010.06.003     Document Type: Article

References (30)

1. C.J. Ancker, and J.N. Goodier Pitch and curvature corrections for helical springs Transactions of the ASME - Journal of Applied Mechanics 25 1958 466 470
2. C.J. Ancker, and J.N. Goodier Theory of pitch and curvature corrections for the helical springs - I (tension) Transactions of the ASME - Journal of Applied Mechanics 25 1958 471 483
3. C.J. Ancker, and J.N. Goodier Theory of pitch and curvature corrections for the helical springs - II (torsion) Transactions of the ASME - Journal of Applied Mechanics 25 1958 484 495
4. B. Andrawes, and R. DesRoches Comparison between shape memory alloy seismic restrainers and other bridge retrofit devices Journal of Bridge Engineering 12 6 2007 700 709
5. B. Andrawes, and R. DesRoches Sensitivity of seismic applications to different shape memory alloy models Journal of Engineering Mechanics 134 2 2008 173 183
6. Z. Bo, and D.C. Lagoudas Thermomechanical modeling of polycrystalline SMAs under cyclic loading Part I: Theoretical derivations International Journal of Engineering Science 37 1999 1089 1140
7. J.G. Boyd, and D.C. Lagoudas A thermodynamic constitutive model for the shape memory alloy materials. Part I. The monolithic shape memory alloy International Journal of Plasticity 12 1996 805 842
8. L.C. Brinson One-dimensional constitutive behavior of shape memory alloy: thermomechanical derivation with non-constant material functions and redefined martensite internal variable Journal of Intelligent Material Systems and Structures 4 1993 229 242
9. G. Cardano, T.R. Witmer, and O. Ore The Rules of Algebra: (ars Magna) 2007 Dover Publications
10. T. Chen A homogeneous elliptical shaft may not warp under torsion Acta Mechanica 169 2004 221 224
11. J.H. Chung, J.S. Heo, and J.J. Lee Modeling and numerical simulation of the pseudoelastic behavior of shape memory alloy circular rods under tension?torsion combined loading Smart Materials and Structures 15 2006 1651 1660
12. Coulomb, C.A., 1784. Recherches théoriques et expé rimentales sur la force de torsion, et sur l'élasticité des fils de métal. Mémoires of the Académie Royale des Sciences, pp. 229-269.
13. R. DesRoches, and B. Smith Shape memory alloys in seismic resistant design and retrofit: a critical review of their potential and limitations Journal of Earthquake Engineering 8 2004 415 429
14. Y. Dong, Z. Boming, and L. Jun A changeable aerofoil actuated by shape memory alloy springs Materials Science and Engineering A 485 2008 243 250
15. T.J. Higgins A comprehensive review of Saint-Venant's torsion problem American Journal of Physics 10 5 1942 248 259
16. K. Jacobus, H. Sehitoglu, and M. Balzer Effect of stress state on the stress-induced martensitic transformation in polycrystalline Ni-Ti alloy Metallurgical and Materials Transactions A 27 1996 3066 3073
17. C.Y. Leea, H.C. Zhuob, and C.W. Hsu Lateral vibration of a composite stepped beam consisted of SMA helical spring based on equivalent Euler-Bernoulli beam theory Journal of Sound and Vibration 324 2009 179 193
18. K.M. Liew, S. Kitipornchai, T.Y. Ng, and G.P. Zou Multi-dimensional superelastic behavior of shape memory alloys via nonlinear finite element method Engineering Structures 24 2002 51 57
19. T.J. Lim, and D.L. McDowell Mechanical behavior of an Ni-Ti shape memory alloy under axial-torsional proportional and nonproportional loading Transactions of the ASME - Journal of Engineering Materials and Technology 121 1999 9 18
20. D.R. Mahapatra, and R.V.N. Melnik Finite element approach to modelling evolution of 3D shape memory materials Mathematics and Computers in Simulation 76 2007 141 148
21. Mirzaeifar, R., 2009. A new method for analyzing thick walled shape memory alloy cylinders subjected to internal pressure. In: ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS), September 21-23, Oxnard, California USA.
22. R. Mirzaeifar, M. Shakeri, and M. Sadighi Nonlinear finite element formulation for analyzing shape memory alloy cylindrical panels Smart Materials and Structures 18 3 2009 035002
23. M.A. Qidwai, and D.C. Lagoudas Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms International Journal for Numerical Methods in Engineering 47 2000 1123 1168
24. M.A. Qidwai, and D.C. Lagoudas On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material International Journal of Plasticity 16 2000 1309 1343
25. I.S. Sokolnikoff Mathematical Theory of Elasticity 1956 McGraw-Hill New York
26. M. Speicher, D.E. Hodgson, R. DesRoches, and R.T. Leon Shape memory alloy tension/compression device for seismic retrofit of buildings Journal of Materials Engineering and Performance 18 2009 746 753
27. K. Tanaka A thermomechanical sketch of shape memory effect: one-dimensional tensile behavior RES Mechanica 18 3 1986 251 263
28. H. Tobushi, and K. Tanaka Deformation of a shape memory alloy helical spring: analysis based on stress-strain-temperature relation JSME International Journal, Series I 34 1991 83 89
29. Y. Toi, J.B. Lee, and M. Taya Finite element analysis of superelastic, large deformation behavior of shape memory alloy helical springs Computers and Structures 82 2004 1685 1693
30. A.M. Wahl Mechanical Springs 1944 Penton Publishing Company Cleveland, USA