 | | 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 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| A.A. Movchan, L.G. Sil'chenko, and T.L. Sil'chenko, "Taking Account of the Martensite Inelasticity in the Reverse Phase Transformation in Shape Memory Alloys," Mech. Solids. 46 (2), 194-203 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
2 |
Pages |
194-203 |
| DOI |
10.3103/S0025654411020075 |
| Title |
Taking Account of the Martensite Inelasticity in the Reverse Phase Transformation in Shape Memory Alloys |
| 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)
L.G. Sil'chenko (Institute of Applied Mechanics, Russian Academy of Sciences, GSP-1, V-334, Leninskii pr-t 32A, Moscow, 117334 Russia)
T.L. Sil'chenko (Institute of Applied Mechanics, Russian Academy of Sciences, GSP-1, V-334, Leninskii pr-t 32A, Moscow, 117334 Russia) |
| Abstract |
The model of nonlinear deformation of shape memory alloys (SMA) is generalized to the case in which the possible structural transition in the reverse martensitic transformation is taken into account. The statement of active thermomechanical processes of proportional variation in the stress deviatoric components is justified. The problem of buckling on an SMA bar due to the reverse martensitic transformation is solved. It is shown that taking account of the structural transition under buckling in the process of reverse transformation significantly changes the solution of this problem. |
| Keywords |
shape memory alloys, reverse transformation, martensite inelasticity, stability, bar |
| References |
| 1. | A. A. Movchan,
"Micromechanical Constitutive Equations for Shape Memory Alloys,"
Probl. Mashinostr. Nadezhn. Mashin,
No. 6, 47-53 (1994). |
| 2. | 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)]. |
| 3. | 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)]. |
| 4. | 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.)]. |
| 5. | 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.)]. |
| 6. | 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)]. |
| 7. | A. A. Movchan, S. A. Kazarina, I. V. Mishustin, and I. A. Movchan,
"Thermodynamical Justification of the Model of Nonlinear Deformation of Shape Memory Alloys
in Phase and Structure Transformations,"
Deform. Razrush. Mater.,
No. 8, 2-9 (2009). |
| 8. | 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). |
| 9. | 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)]. |
| 10. | 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)]. |
| 11. | 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)]. |
| 12. | 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)]. |
| 13. | 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 (1), 871-883 (2006)
[J. Appl. Math. Mech. (Engl. Tranl.)
70 (5), 785-795 (2006)]. |
| 14. | 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,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 137-147 (2010)
[Mech. Solids (Engl. Transl.)
45 (6), 876-884 (2010)]. |
| 15. | 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)]. |
| 16. | 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)]. |
| 17. | 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)]. |
| 18. | L. G. Sil'chenko, A. A. Movchan, and I. A. Movchan,
"Taking Account of the Structure Transformation in the Stability Analysis
of a Circular Plate Made of a Shape Memory Alloy,"
Probl. Mashinostr. Nadezhn. Mashin,
No. 5, 57-65 (2010). |
| 19. | I. G. Petrovskii,
Lectures on the Theory of Ordinary Differential Equations
(Gostekhizdat, Moscow-Leningrad, 1952)
[in Russian]. |
|
| Received |
15 December 2010 |
| Link to Fulltext |
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