 | | 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 49, Issue 4 / 2014 | Next article >> |
| R.N. Neskorodev, "Representation of the Solution of Refined Bending Theory for Isotropic Plates," Mech. Solids. 49 (4), 413-421 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
4 |
Pages |
413-421 |
| DOI |
10.3103/S0025654414040062 |
| Title |
Representation of the Solution of Refined Bending Theory for Isotropic Plates |
| Author(s) |
R.N. Neskorodev (Donetsk National University, ul. Universitetskaya 24, Donetsk, 83001 Ukraine, nesrom@cable.netlux.org) |
| Abstract |
A solution of the bending problem for isotropic plates in a refined statement based on the system of six-order differential equations is proposed. A procedure for determining the general solutions of the corresponding biharmonic and metaharmonic equations is suggested. A method for satisfying the boundary conditions is given. The results of numerical studies of the stress state of an infinite plate with an elliptic cavity are given. |
| Keywords |
bending, plate, refined theory, stress, moment, elliptic cavity |
| References |
| 1. | E. Reissner,
"On the Theory of Bending of Elastic Plates,"
J. Math. Phys.
23 (4), 184-191 (1944). |
| 2. | E. Reissner,
The Effect of Transverse Shear Deformation on the Bending of Elastic Plates,"
Trans. ASME
67 (4), A69-A77 (1945). |
| 3. | B. L. Pelekh,
Stress Concentration near Holes in Bending of Transversally Isotropic Plates
(Naukova Dumka, Kiev, 1977)
[in Russian]. |
| 4. | B. L. Pelekh and A. A. Syaj'kii,
Stress Distribution near Holes in Shear Compliant Anisotropic Shells
(Naukova Dumka, Kiev, 1975)
[in Russian]. |
| 5. | V. V. Vasil'ev,
"Classical Theory of Plates: Historical Perspective and State-of-the-Art,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 46-58 (1998)
[Mech. Solids (Engl. Transl.)
33 (3), 35-45 (1998)]. |
| 6. | S. G. Lekhnitskii,
Anisotropic Plates
(Gostekhizdat, Moscow, 1957)
[in Russian]. |
| 7. | A. S. Kosmodamianskii and R. N. Neskorodev,
"The Relation Between the Equations of the Two-Dimensional Theory of Elasticity for Anisotropic and Isotropic Bodies,"
Prikl. Mat. Mekh.
62 (2), 344-346 (1998)
[J. Appl. Math. Mech. (Engl. Transl.)
62 (2), 319-321 (1998)]. |
| 8. | A. F. Nikiforov and V. B. Uvarov,
Special Functions of Mathematical Physics
(Nauka, Moscow, 1984)
[in Russian]. |
| 9. | I. S. Berezin and N. P. Zhidkov,
Computational Methods, Vol. 1
(Nauka, Moscow, 1966)
[in Russian]. |
| 10. | A. S. Kosmodamianskii,
Stress State of Anisotropic Media with Holes or Cavities
(Vishcha Shkola, Kiev-Donetsk, 1976)
[in Russian]. |
|
| Received |
16 May 2012 |
| Link to Fulltext |
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