|
|
|
|
References
|
|
| |
| 1. |
Altenbach H., Eremeyev V. A., Morozov N. F., “Linear theory of shells taking into account surface stresses.”, Doklady Physics, 54:12 (2009), 531–535      |
| 2. |
Shen H. S., Functionally graded materials: nonlinear analysis of plates and shells, CRC Press, 2009, 280 pp. |
| 3. |
Lychev S. A., Lycheva T. N., Manzhirov A. V., “Unsteady vibration of a growing circular plate”, Mech. Solids, 46:2 (2011), 325–333 |
| 4. |
Leissa A. W., Vibration of shells, Acoustical Society of America, Ohio, 1993, 428 pp. |
| 5. |
Truesdell C., Toupin R. A., “The classical field theories”, Handbuch der Physik, v. III/1, ed. S. Flügge, Springer-Verlag, Berlin, 1960, 226–858 (in German) |
| 6. |
Noll W., “Materially uniform simple bodies with inhomogeneities”, Arch. Rat. Mech. Anal., 27:1 (1956), 1–32 |
| 7. |
Epstein M., The geometrical language of continuum mechanics, Cambridge University Press, Cambridge, 2010  |
| 8. |
Gurtin M. E., Murdoch A. I., “A continuum theory of elastic material surfaces”, Arch. Ration. Mech. Anal., 57:4 (1975), 291–323 |
| 9. |
Maugin G. A., Material inhomogeneities in elasticity, Chapman and Hall, London, 1993, 280 pp. |
| 10. |
Cohen H., Wang C.-C., “Some equilibrium problems for compressible, anisotropic, laminated nonlinearly elastic bodies”, Arch. Ration. Mech. Anal., 119:9 (1992), 1–34 |
| 11. |
Lychev S. A., Baryshev A. A., “Equilibrium equations for material uniform and inhomogeneous laminated shells”, PNRPU Mechanics Bulletin. Mechanics, 2012, no. 4, 42–65 |
| 12. |
Lurie A. I., Nonlinear theory of elasticity, Nauka, Moscow, 1980, 512 pp. |
| 13. |
Gibbs J. W., Elements of vector analysis, New Haven, 1884 |
| 14. |
Eremeev V. A., Zubov L. M., Mechanics of Elastic Shells, Nauka, Moscow, 2008, 280 pp. |
| 15. |
Grigoliuk E. I., Selezov I. T., Non-classical theory of vibrations of rods, plates and shells, VINITI, Moscow, 1973, 272 pp. |
| 16. |
Pelekh B. L., Generalized theory of shells, Vyshcha shkola, L'vov, 1978, 159 pp. |
| 17. |
Novozhilov V. V., The theory of thin shells, Sudpromgiz, Leningrad, 1962, 431 pp. |
| 18. |
Kabrits S. A., Mikhailovskii E. I., Tovstik P. E., Chernykh K. F., Shamina V. A., General nonlinear theory of elastic shells, eds. K. F. Chernyh, S. A. Kabrica, St. Petersburg Univ. Press, St. Petersburg, 2002, 388 pp. |
| 19. |
Chapelle D., Bathe K. J., The Finite Element Analysis of Shells – Fundamentals, Springer, N.Y., 2011, 410 pp. |
| 20. |
Mikhailovskii E. I., “The classical theory of shells”, Vestnik Syktyvkarskogo universiteta. Ser. 1.: Math. Mech. Inform., 2006, no. 6, 123–164 |
| 21. |
Lebedev L. P., Cloud M. J., Eremeyev V. A., Advanced Engineering Analysis: Calculus of Variations and Functional Analysis with Applications in Mechanics, World Scientific, New Jersey, 2012, 499 pp. |
| 22. |
Zhilin P. A., Applied Mechanics. Foundations of the Theory of Shells, St. Petersburg State Polytech. Univer. Press, St. Petersburg, 2006, 167 pp. |
| 23. |
Lizarev A. D., Rostanina N. B., Vibration in metal- and homogeneous spherical shells, Nauka i tekhnika, Minsk, 1984, 192 pp. |
| 24. |
Senitskii Yu. E., Lychev S. A., “The dynamics of three-layer spherical shells asymmetric structure”, Trudy XVIII mezhdunarodnoi konferentsii po teorii obolochek i plastin, v. 1, Saratov, 1997, 47–52 |
