Effect of elastic matrix constraint on the tensile deformation of NiTi superelastic fiber

International Journal of Solids and Structures

Volumn 41, Issue 9-10, 2004, Pages 2659-2683

  Yu, Xiang Bin ^a,b   Sun, Qing Ping ^a   Zhong, Zheng ^b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b TONGJI UNIVERSITY   (China)

Author keywords

Deformation instability; Deformation patterns; Matrix constraint; NiTi superelastic shape memory alloy fiber; Phase transition; Uniaxial tension

Indexed keywords

CONSTRAINT THEORY; CRYSTAL GROWTH; DEFORMATION; MATRIX ALGEBRA; NUCLEATION; TENSILE STRESS;

ELASTIC MATRIX CONSTRAINT; UNIAXIAL TENSION;

ELASTICITY;

DEFORMATION; FIBER;

EID: 1842431585     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.12.004     Document Type: Article

References (29)

1. Abeyaratne R. Knowles J.K. On the driving traction acting on a surface of strain discontinuity in a continuum J. Mech. Phys. Solids 38 1990 345-360
2. Abeyaratne R. Knowles J.K. A continuum model of thermoelastic solid capable of undergoing phase transitions J. Mech. Phys. Solids 41 1993 541-571
3. Cherkaoui M. Sun Q.P. Song G.Q. Micromechanics modeling of composite with ductile matrix and shape memory alloy reinforcement Int. J. Solids Struct. 37 2000 1577-1594
4. Cox H.L. The elasticity and strength of paper and other fibrous materials Br. J. Appl. Phys. 3 1952 72-79
5. Coleman B.D. Necking and drawing in polymeric fibers under tension Arch. Rat. Mech. Anal. 83 1983 115-137
6. Duerig, T.W., Melton, K.N., 1989. Designing with the shape memory effect. In: Otsuka, K., Shimitsu, K. (Eds.), Proc. Shape Memory Materials, vol. 9, pp. 581-597. MRS International Meeting on Advanced Materials
7. Ericken J.L. Equilibrium of bars J. Elasticity 5 1975 191-201
8. Furuya Y. Design and material evaluation of shape memory composites J. Intell. Mater. Syst. Strut. 7 1996 321-330
9. James R.D. Microstructure of shape-memory and magnetostrictive materials Appl. Mech. Rev. 43 1990 189-193
10. Knowles J.K. Sternberg E. On the failure of ellipticity of the equations for finite elastostatics plane strain Arch. Rat. Mech. Anal. 63 1977 321-336
11. Li Z.Q. Sun Q.P. The initiation and growth of macroscopic martensite band in nano-grained NiTi microtube under tension Int. J. Plasticity 18 2002 1481-1498
12. Miyazaki S. Imai T. Otsuka K. Suzuki Y. Luders-like deformation observed in the transformation pseudoelasticity of a Ti-Ni alloy Scr. Metall. 15 1982 853-856
13. Mura T. Micromechanics of Defects in Solids 1987 Martinus Nijhoff Dordrecht
14. Roytburd A.L. Slutsker J. Deformation of adaptive materials, Part I. Constrained deformation of polydomain crystal J. Mech. Phys. Solids 47 1999 2299-2329
15. Roytburd A.L. Slutsker J. Deformation of adaptive materials, Part II. Adaptive composite J. Mech. Phys. Solids 47 1999 2331-2349
16. Roytburd A.L. Slutsker J. Deformation of adaptive materials, Part III. Deformation of crystals with polytwin product phases J. Mech. Phys. Solids 49 2001 1795-1822
17. Sun Q.P. Zhong Z. An inclusion theory for the propagation of martensite band in NiTi shape memory alloy fibers under tension Int. J. Plasticity 16 2000 1169-1187
18. Shaw J.A. Kyriakides S. Thermomechanical aspects of NiTi J. Mech. Phys. Solids 43 1995 1243-1281
19. Shaw J.A. Kyriakides S. On the nucleation and propagation of phase transformation fronts in a NiTi alloy Acta Mater. 45 2 1997 683-700
20. Song G.Q. Sun Q.P. Cherkaoui M. Role of microstructure in the thermo-mechanical behavior of SMA composites, ASME J. Eng. Mater. Tech. 121 1 1999 86-92
21. Stupkiewicz S. Petryk H. Modelling of laminated microstructures in stress-induced martensitic transformations J. Mech. Phys. Solids 50 2002 2303-2331
22. Sun Q.P. Li Z.Q. Phase transformation in superelastic NiTi polycrystalline micro-tubes under tension and torsion-localization to homogeneous deformation Int. J. Solids Struct. 39 2002 3797-3809
23. Timoshenko S. Goodier J.N. Theory of Elasticity 1951 McGraw-Hill Book Company, Inc. New York
24. Triantafyllidis N. Aifantis E.C. A gradient approach to localization of deformation. I. Hyperelastic materials J. Elasticity 16 1986 225-237
25. Triantafyllidis N. Bardenhagen S. On higher order gradient continuum theories in 1-D nonlinear elasticity, derivation from and comparison to the corresponding discrete models J. Elasticity 33 1993 259-293
26. Truskinovsky L. Zanzotto G. Finite-scale microstructures and metastability in one-dimensional elasticity Meccanica 30 1995 577-589
27. Truskinovsky L. Zanzotto G. Ericksen's bar revisited: Energy wiggles J. Mech. Phys. Solids 44 1996 1371-1408
28. Tsai H. Fan X. Elastic deformations in shape memory alloy fibre reinforced composites Sun Q.P. Proceedings of the IUTAM Symposium on Mechanics of Martensite Phase Transformations in Solids 2002 139-146 Kluwer Academic Publisher
29. Zhong Z. Sun Q.P. Tong P. On the axisymmetric deformation of a rod containing a single cylindrical inclusion Int. J. Solids Struct. 37 2000 5943-5955