Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IPMech RASWeb hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2010-6pp.876-884

Archive of Issues

Total articles in the database: 9198
In Russian (. . ): 6504
In English (Mech. Solids): 2694

<< Previous article | Volume 45, Issue 6 / 2010 | Next article >>
A.A. Movchan, I.A. Movchan, and L.G. Sil'chenko, "Effect of Structural Transformation and Deformation Nonlinearity on the Stability of a Shape Memory Alloy Rod," Mech. Solids. 45 (6), 876-884 (2010)
Year 2010 Volume 45 Number 6 Pages 876-884
DOI 10.3103/S0025654410060117
Title Effect of Structural Transformation and Deformation Nonlinearity on the Stability of a Shape Memory Alloy Rod
Author(s) A.A. Movchan (Institute of Applied Mechanics, Russian Academy of Sciences, GSP-1, V-334, Leninskii pr-t 32A, Moscow, 117334 Russia, movchan47@mail.ru)
I.A. Movchan (Institute of Applied Mechanics, Russian Academy of Sciences, GSP-1, V-334, Leninskii pr-t 32A, Moscow, 117334 Russia)
L.G. Sil'chenko (Institute of Applied Mechanics, Russian Academy of Sciences, GSP-1, V-334, Leninskii pr-t 32A, Moscow, 117334 Russia, seliger@mail.ru)
Abstract Within the framework of a model of nonlinear deformations of shape memory alloys (SMA) under phase and structural transformations and for different statements of the problem, an analytical solution of the problem of stability of an SMA rod undergoing a direct martensitic phase transformation under the action of a compressive load is obtained. It is shown that taking account of the nonlinearity of the deformation process and structural transformation in the transition into the adjacent form of equilibrium significantly changes the solution for sufficiently flexible rods. At the same time, taking into account the strains developed in a phase transition is topical for thick-walled SMA elements.
Keywords shape memory, stability, phase transition, structural transformation, nonlinearity, rod
References
1.  A. A. Movchan and I. A. Movchan, "One-Dimensional Micromechanical Model of Nonlinear Deformation of Shape Memory Alloys under Direct and Inverse Thermoelastic Transformations," Mekh. Komp. Mater. Konstr. 13 (3), 297-322 (2007) [J. Comp. Mech. Design (Engl. Transl.)].
2.  A. A. Movchan and I. A. Movchan, "Model of Nonlinear Deformation of Shape Memory Alloys in Active Processes of Direct and Structure Transformations," Mekh. Komp. Mater. Konstr. 14 (1), 75-87 (2008) [J. Comp. Mech. Design (Engl. Transl.)].
3.  A. A. Movchan, I. A. Movchan, and L. G. Sil'chenko, "Micromechanical Model of Nonlinear Deformation of Shape Memory Alloys under Phase and Structure Transitions," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 118-130 (2010) [Mech. Solids (Engl. Transl.) 45 (3), 406-416 (2010)].
4.  A. A. Movchan and S. A. Kazarina, "Experimental Investigation of the Effect of Buckling Caused by Thermoelastic Phase Transformations under the Action of Compressive Stresses," Probl. Mashinostr. Nadezhn. Mashin, No. 6, 82-89 (2002).
5.  A. A. Movchan and L. G. Sil'chenko, "Buckling of a Rod Undergoing Direct or Reverse Martensite Transformation under Compressive Stresses," Zh. Prikl. Mekh. Tekhn. Fiz. 44 (3), 169-178 (2003) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 44 (3), 442-449 (2003)].
6.  A. A. Movchan and L. G. Sil'chenko, "Analysis of Buckling Induced by the Direct Thermoelastic Transformation under the Action of Compression Stresses," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 132-144 (2004) [Mech. Solids (Engl. Transl.) 39 (2), 104-114 (2004)].
7.  A. A. Movchan and L. G. Sil'chenko, "The Stability of a Plate of Shape-Memory Alloy in a Direct Thermoelastic Phase Transition," Prikl. Mat. Mekh. 68 (1), 60-72 (2004) [J. Appl. Math. Mech. (Engl. Transl.) 68 (1), 53-64 (2004)].
8.  A. A. Movchan and L. G. Sil'chenko, "Analytical Solution of the Coupled Buckling Problem for a Plate From a Shape Memory Alloy Subjected to Inverse Martensite Transformation," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 164-178 (2004) [Mech. Solids (Engl. Transl.) 39 (5), 134-145 (2004)].
9.  A. A. Movchan and L. G. Sil'chenko, "The Stability of a Circular Plate of Shape Memory Alloy during a Direct Martensite Transformation," Prikl. Mat. Mekh. 70 (5), 871-883 (2006) [J. Appl. Math. Mech. (Engl. Tranl.) 70 (5), 785-795 (2006)].
10.  A. A. Movchan and L. G. Sil'chenko, "Buckling of a Circular Plate Made of a Shape Memory Alloy due to a Reverse Thermoelastic Martensite Transformation," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 117-130 (2008) [Mech. Solids (Engl. Transl.) 43 (1), 100-111 (2008)].
11.  M. A. Khusainov, "Investigation of the Axisymmetric Buckling of Round Plates," Zh. Tekhn. Fiz. 67 (6), 118-120 (1997) [Tech. Phys. (Engl. Transl.) 42 (6), 692-694 (1997)].
12.  G. A. Malygin, "Euler Instability of Bidirectional Shape Memory Effect in a Titanium Nickelide Strip," Fiz. Tverd. Tela 45 (12), 2233-2237 (2003) [Phys. Solid State (Engl. Transl.) 45 (12), 2342-2347 (2003)].
13.  G. A. Malygin and M. A. Khusainov, "Stability of the Mechanical Behavior of an Arched TiNi Strip under the Conditions of the Constrained Shape Memory Effect," Zh. Tekhn. Fiz. 74 (10), 57-63 (2004) [Tech. Phys. (Engl. Transl.) 49 (10), 1301-1307 (2004)].
14.  L. I. Shkutin, "Analysis of Axisymmetric Phase Strains in Plates and Shells," Zh. Prikl. Mekh. Tekhn. Fiz. 48 (2), 163-171 (2007) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 48 (2), 285-291 (2007)].
15.  L. I. Shkutin, "Axisymmetric Deformation of Plates and Shells with Phase Trasformations under Thermal Cycling," Zh. Prikl. Mekh. Tekhn. Fiz. 49 (2), 204-210 (2008) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 49 (2), 330-335 (2008)].
16.  A. A. Movchan, "Micromechanical Constitutive Equations for Shape Memory Alloys," Probl. Mashinostr. Nadezhn. Mashin, No. 6, 47-53 (1994).
17.  A. A. Movchan, "Micromechanical Description of the Deformation due to Martensite Transformations in Shape-Memory Alloys," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 197-205 (1995) [Mech. Solids (Engl. Transl.) 30 (1), 186-192 (1995)].
18.  A. A. Movchan, "Selecting a Phase-Diagram Approximation and a Model of the Disappearance of Martensite Crystals for Shape Memory Alloys," Zh. Prikl. Mekh. Tekhn. Fiz. 36 (2), 173-181 (1995) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 36 (2), 300-307 (1995)].
19.  G. A. Malygin, "Theory of Diffuse Martensitic Phase Transitions in Ferroelastics and Shape-Memory Alloys," Fiz. Tverd. Tela 36 (5), 1489-1501 (1994) [Phys. Solid State (Engl. Transl.) 36 (5), 815-820 (1994)].
20.  A. A. Movchan and Nyunt Soe, "Thermodynamic Description of Shape Memory Alloy Behavior Using the Gibbs Additive Potential," Zh. Prikl. Mekh. Tekhn. Fiz. 47 (4), 98-103 (2006) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 47 (4), 542-546 (2006)].
Received 12 July 2010
Link to Fulltext http://www.springerlink.com/content/h5jl18183467xl83/
<< Previous article | Volume 45, Issue 6 / 2010 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100