 | | 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
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 51, Issue 5 / 2016 | Next article >> |
| T.I. Belyankova and V.V. Kalinchuk, "Dynamic Equations of a Prestressed Magnetoelectroelastic Medium," Mech. Solids. 51 (5), 588-595 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
5 |
Pages |
588-595 |
| DOI |
10.3103/S0025654416050125 |
| Title |
Dynamic Equations of a Prestressed Magnetoelectroelastic Medium |
| Author(s) |
T.I. Belyankova (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia; South Federal University, pr. Stachki 200/1, Rostov-on-Don, 344090 Russia)
V.V. Kalinchuk (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia; South Federal University, pr. Stachki 200/1, Rostov-on-Don, 344090 Russia, vkalin415@mail.ru) |
| Abstract |
The constitutive relations of nonlinear mechanics of a magnetoelectroelastic medium subjected to initial mechanical stresses are linearized in the framework of material (Lagrangian) coordinates. The final expressions are constructed independently of the choice of curvilinear coordinates and are represented in a form convenient for theoretical and applied studies. The constitutive relations for the motion of a prestressed magnetoelectroelastic medium are given in rectangular Cartesian coordinates. The influence of the initial mechanical stresses on piezomagnetoelectric materials of the class 6 mm is studied. |
| Keywords |
electromagnetic medium, magnetoelectroelasticity, linearization, preliminary stress, initial strain |
| References |
| 1. | G. Maugin,
Continuum Mechanics of Electromagnetic Solids
(North Holland, 1988; Mir, Moscow, 1991). |
| 2. | V. V. Kalinchuk, T. I. Belyankova, and O. V. Evdokimova,
"Constitutive Relations of Dynamics of Prestressed Piezoactive Medium
in the Absence of External Electric Fields,"
Vestnik Yuzhn. Nauchn. Tsentra RAN
2 (1), 16-23 (2006). |
| 3. | O. V. Evdokimova, T. I. Belyankova, and V. V. Kalinchuk,
"Equations of Dynamics of Prestressed Piezoactive Medium
in the Presence of External Electrostatic Field,"
Vestnik Yuzhn. Nauchn. Tsentra RAN
3 (4), 19-25 (2007). |
| 4. | V. V. Kalinchuk, T. I. Belyankova, and D. N. Sheidakov,
"Equations of Dynamics of Prestressed Magnetoelastic Medium,"
Vestnik Yuzhn. Nauchn. Tsentra RAN
9 (Jubilee number), 20-28 (2013). |
| 5. | V. V. Kalinchuk, T. I. Belyankova, M. O. Levi, and K. L. Agayan,
"Some Specific Characteristics of Dynamics of Weakly Homogeneous
Magnetoelastic Half-Space,"
Vestnik Yuzhn. Nauchn. Tsentra RAN
9 (4), 13-17 (2013). |
| 6. | V. I. Alshits, A. N. Darinskii, and J. Lothe,
"On the Existence of Surface Waves in Half-Infinite Anisotropic Elastic Media
with Piezoelectric and Piezomagnetic Properties,"
Wave Motion
16, 265-283 (1992). |
| 7. | C. W. Nan,
"Magnetoelectric Effect in Composites of Piezoelectric and Piezomagnetic Phases,"
Phys. Rev.
50, 6082-6089 (1994). |
| 8. | J. Y. Li and L. D. Martin,
"Anisotropic Coupled-Field Inclusion and Inhomogeneity Problems,"
Phil. Mag. A
77 (5), 1341-1350 (1998). |
| 9. | Z. Chen, S. Yu, L. Meng, and Y. Lin,
"Effective Properties of Layered Magneto-Electro-Elastic Composites,"
Compos. Struct.
57, 177-182 (2002). |
| 10. | S. Srinivas, J. Y. Li, Y. C. Zhou, and A. K. Soh,
"The Effective Magnetoelectroelastic Moduli of Matrix-Based Multiferroic Composites,"
J. Appl. Phys.
99 (4), 1-7 (2006). |
| 11. | V. I. Alshits, H. O. K. Kirchner, and T. C. T. Ting,
"Angularly Inhomogeneous Piezoelectric Piezomagnetic Magnetoelectric Anisotropic Media,"
Phil. Mag. Lett.
71 (5), 285-288 (1995). |
| 12. | A. I. Lurie,
Nonlinear Theory of Elasticity
(Nauka, Moscow, 1980)
[in Russian]. |
| 13. | V. V. Kalinchuk and T. I. Belyankova,
Dynamics of the Surface of Inhomogeneous Media
(Fizmatlit, Moscow, 2009)
[in Russian]. |
|
| Received |
25 April 2016 |
| Link to Fulltext |
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