 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| G.Z. Sharafutdinov, "Investigation of the Photoelasticity Method," Mech. Solids. 53 (3), 354-359 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
3 |
Pages |
354-359 |
| DOI |
10.3103/S0025654418070142 |
| Title |
Investigation of the Photoelasticity Method |
| Author(s) |
G.Z. Sharafutdinov (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr. 1, Moscow, 119192, Russia, sharaf@imec.msu.ru) |
| Abstract |
The physical principles of the polarization-optical method for studying stresses that is commonly called the photoelasticity method are considered. Using the model of a linear oscillator it is established that the birefringence effect observed in some materials during their deformation can be explained by a shift in the eigenfrequencies of the oscillators, namely charged particles inside the deformed body.
This approach has been used in determining the parameters of the pair interaction potential, in particular, the Mie potential using the experimentally determined birefringence value. The expression for the shape of the strain-optical coefficient, that is, a quantity that serves to relate the difference in the principal deformations and the relative path difference is obtained. |
| Keywords |
photoelasticity method, birefringence, linear oscillator, Mie potential, strain-optical coefficient |
| References |
| 1. | A. Ya. Aleksandrov and M. Kh. Akhmetzyanov,
Polarization-Optical Methods of the Mechanics of a Deformable Body
(Nauka, Moscow, 1973) [in Russian]. |
| 2. | G. Z. Sharafutdinov,
"On the Phenomenon of Birefringence in Transparent Dielectrics,"
in On Some Problems of Behavior of Viscous and Elastic-Plastic Structures,
Ed. by V. P. Netrebko
(Izd. Moscow Univ., Moscow, 1989). |
| 3. | A. M. Krivtsov and N. V. Krivtsova,
"Method of Particles and its Application to Mechanics of Solids,"
Dal'nevost. Mat. Zh.
3 (2), 254-276 (2002). |
| 4. | E. A. Ivanova, A. M. Krivtsov, N. F. Morozov, and A. D. Firsova,
Theoretical Mechanics. Determination of Equivalent Elastic Characteristics of Discrete Systems
(SPbSPU, St. Petersburg, 2004) [in Russian]. |
| 5. | C. Kittel,
Introduction to Solid State Physics
(Phismatlit, Moscow, 1963) [in Russian]. |
| 6. | Qian Xuesen,
Physical Mechanics
(Mir, Moscow, 1963) [in Russian]. |
| 7. | R. W. Christy and A. Pytte,
The Structure of Matter: an Introduction to Modern Physics
(Nauka, Moscow, 1969) [in Russian]. |
| 8. | A. Animalu,
Intermediate Quantum Theory of Crystalline Solids
(Mir, Moskow, 1981) [in Russian]. |
| 9. | D. S. Chemla (Editor),
Nonlinear Optical Properties of Organic Molecules and Crystals,
Vols. 1-2 (Academic Press, 1987l; Mir, Moscow, 1989). |
| 10. | L. I. Mandelstam,
Lectures on Optics, Theory of Relativity and Quantum Mechanics
(Nauka, Moskow, 1972) [in Russian]. |
| 11. | E. I. Butikov,
Optics
(Nevskiy dialect, St.Petersburg, 2003) [in Russian]. |
| 12. | B. M. Tareev,
Physics of Dielectric Materials
(Energiya, Moscow, 1973) [in Russian]. |
| 13. | G. Z. Sharafutdinov,
"Basic Relations of Photoelasticity,"
Moscow Univ. Mech. Bull.
67 (1), 1-4 (2012). |
|
| Received |
28 July 2016 |
| Link to Fulltext |
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