journal article·2012-05

Shape memory materials as an object of solid state mechanics: Experimental study, constitutive relations, solution of boundary value problems

Andrey A. Movchan, S. A. Kazarina

Physical Mesomechanics· Volume 15· Issue 3-4
Publisher page

Abstract

The paper reports on new results of experimental research and simulation of thermomechanical phenomena characteristic of shape memory alloys. Experimental data are presented on the absence of work hardening in strain accumulation attendant on direct martensite transformation in shape memory alloys, cross hardening involved in martensite inelasticity and associated with preliminary direct marten-site transformation, rheonomic properties of shape memory alloys and stability of titanium nickelide rods loaded in the mode of martensite inelasticity. Some of the basic peculiarities of the processes occurring in shape memory alloys at different structural levels are briefly reviewed. A model that takes into account the above peculiarities and describes nonlinear scleronomic deformation of shape memory alloys in phase and structural transformation is set forth. Simplest variants of description of rheonomic properties of shape memory alloys are proposed. Different classes of boundary value and initial-boundary value problems of thermomechanics for shape memory alloys are considered.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Shape Memory Alloy Transformations · Elasticity and Wave Propagation · Creativity in Education and Neuroscience

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (31)

Show source-provided references
1. S.P. Belyaev, A.E. Volkov, V.A. Ermolaev, Z.P. Kamentseva, S.L. Kuzmin, V.A. Likhachev, V.F. Mozgunov, A.I. Razov, and R.Yu. Khairov, Shape Memory Materials. Handbook, Ed. by V.A. Likhachev, Izd-vo NIJKh SPbSU, 1998, V. 2 (in Russian).
2. Y. Liu, Z. Xie, J. van Humbeeck, and L. Delaey, Asymmetry of stress-strain curves under tension and compression for NiTi shape memory alloys, Acta Mater., 46, No. 12 (1998) 4325.10.1016/S1359-6454(98)00112-8 ↗
3. A.A. Movchan and S.A. Kazarina, Thermoelastic transformations in TiNi specimens at one-step and two-step loading. Deform. Razr. Mat., No. 7 (2006) 19 (in Russian).
4. A.A. Movchan, S.A. Kazarina, and Tant Zin Aung, An analog of plasticity theory of shape memory strain at phase and structural transformation, Deform. Razr. Mat., No. 9 (2009) 2 (in Russian).
5. C. Grabe and O.T. Bruhns, On the viscous and strain rate dependent behavior of polycrystalline NiTi, Int. J. Solids Struct., 45 (2008) 1876.10.1016/j.ijsolstr.2007.10.029 ↗
6. A.A. Movchan and Tant Zin Aung, Experimental study and phenom-enological simulation of rheonomic properties of shape memory alloys, Vestn. Tambov. Univ., 15, No. 3 (2010) 860 (in Russian).
7. A.A. Movchan, S.A. Kazarina, and Tant Zin Aung, Rheonomic properties of shape memory alloys at martensitic inelasticity and super-plasticity, Mekh. Komp. Mat. Konstr., 16, No. 3 (2010) 305 (in Rus-sian).
8. A.A. Movchan and S.A. Kazarina, Experimental study of stability loss at thermoelastic phase transformations under compression, Probl. Mashinostr. Nadezhn. Mash., No. 6 (2002) 82 (in Russian).
9. A.A. Movchan, I.A. Movchan, and L.G. Silchenko, Micromechanical model of nonlinear deformation of shape memory alloys at phase and structural transformations, Izv. AN. MTT, No. 3 (2010) 118 (in Russian).10.3103/S0025654410030118 ↗
10. A.A. Movchan, I.A. Movchan, and L.G. Silchenko, Effect of structure transformations and deformation nonlinearity on the stability of a rod of shape memory alloy, Izv. RAN. MTT, No. 6 (2010) 137 (in Russian).10.3103/S0025654410060117 ↗
11. A.A. Movchan, L.G. Silchenko, and TL. Silchenko, Effect of martensitic inelasticity at reverse phase transformation in shape memory alloys, Izv. RAN. MTT, No. 2 (2011) 44 (in Russian).10.3103/S0025654411020075 ↗
12. S. Leclercq and C. Lexcellent, A general macroscopic description of the thermomechanical behavior of shape memory alloys, J. Mech. Phys. Solids, 44, No. 6 (1996) 953.10.1016/0022-5096(96)00013-0 ↗
13. J.G. Boyd and D.C. Lagoudas, A thermodynamic constitutive model for shape memory materials. Part 1. The monolithic shape memory alloy, Int. J. Plasticity, 12, No. 6 (1996) 805.10.1016/S0749-6419(96)00030-7 ↗
14. A.A. Movchan and So Newnt, Thermodynamic description of shape memory behavior by an additive Gibbs potential, PMTF, 47, No. 4 (2006) 98 (in Russian).
15. A.A. Movchan, S.A. Kazarina, I.V. Mishustin, and I.A. Movchan, Thermodynamic grounds of the model of nonlinear deformation of shape memory alloys at phase and structure transformations, Deform. Razr. Mat., No. 8 (2009) 2 (in Russian).
16. A.A. Movchan and I.V. Mishustin, Analysis of non-additive increments to the Gibbs potential of shape memory alloys, Izv. RAN. Ser. Fiz., 70, No. 9 (2006) 1388 (in Russian).
17. K. Tanaka and T. Watanabe, Transformation conditions in a Fe-based shape memory alloy: an experimental study, Arch. Mech., 51, No. 6 (1999) 805.
18. A.A. Movchan and K.Yu. Klimov, Simulation of rheonomic proper-ties of shape memory alloys, Mekh. Komp. Mat. Konstr., 17, No. 2 (2011) 255 (in Russian).
19. A.A. Movchan and K.Yu. Klimov, Model of rheonomic behavior of shape memory alloys based on the hypotheses on a scleronomic property of minimum slow and maximum rapid loads, Mekh. Komp. Mat. Konstr., 17, No. 4 (2011) 508 (in Russian).
20. A.A. Movchan and YaTo Chzhou, Solution of initial boundary prob-lems on direct and reverse transformations using nonlinear theory of deformation of shape memory alloys, Mekh. Komp. Mat. Konstr., 13, No. 4 (2007) 452 (in Russian).
21. A.A. Movchan and Ya To Chzhou, Solution of connected thermal-electromechanical problem for a shape memory alloy rod using non-linear theory of deformation of shape memory alloys, Mekh. Komp. Mat. Konstr., 14, No. 3 (2008) 443 (in Russian).
22. A.A. Movchan, Tant Zin Aung, and I.A. Movchan, Problem solution of bending of a shape memory alloy beam using nonlinear theory of deformation of shape memory alloys at phase and structural transfor-mations, Mekh. Komp. Mat. Konstr., 15, No. 3 (2009) 422.
23. A.A. Movchan and Tant Zin Aung, Analysis of shape memory alloy spring using nonlinear theory of deformation of shape memory alloys, Mekh. Komp. Mat. Konstr., 15, No. 4 (2009) 591 (in Russian).
24. A.A. Movchan and L.G. Silchenko, Rod stability at direct and re-verse martensitic transformations under compression loading, PMTF, 4, No. 3 (2003) 169 (in Russian).
25. A.A. Movchan and L.G. Silchenko, Stability analysis at direct thermo-elastic transformations in compression, Izv. RAN. MTT, No. 2 (2004) 132 (in Russian).
26. A.A. Movchan and L.G. Silchenko, Analytical solution of a con-nected problem on stability of a shape memory alloy plate at direct thermoelastic transformations, PMM, 68, No. 1 (2004) 60 (in Rus-sian).
27. A.A. Movchan and L.G. Silchenko, Analytical solution of a connected problem on stability of a shape memory alloy plate at reverse martensitic transformations, Izv. RAN. MTT, No. 5 (2004) 153 (in Russian).
28. A.A. Movchan and L.G. Silchenko, Stability of around shape memory alloy plate at direct martensitic transformation, PMM, 70, No. 5 (2006) 869 (in Russian).
29. A.A. Movchan and L.G. Silchenko, Stability loss of a round shape memory alloy plate at reverse martensitic transformation, Izv. R’YN. MTT, No. 1 (2008) 117 (in Russian).
30. L.G. Silchenko and A.A. Movchan, Stability of a shape memory alloy shafting in torsion and tension-compression at thermoelastic phase transformations, Probl. Mashinostr. Nadezhn. Mash., No. 2 (2009) 52 (in Russian).
31. L.G. Silchenko, A.A. Movchan, and I.A. Movchan, Calculation of structure transformation in stability analysis of a round shape memory alloy plate, Probl. Mashinostr. Nadezhn. Mash., No. 5 (2010) 57 (in Russian).