ASYMPTOTIC BEHAVIOR OF SOLUTION TO TORSION PROBLEM FOR RADIALLY INHOMOGENEOUS TRANSVERSALLY ISOTROPIC SPHERICAL SHELL
Abstract
A torsion problem of the radially inhomogeneous transversally isotropic spherical shell is investigated by the method of homogeneous solutions. Asymptotic expansions of homogeneous solutions are obtained. It is shown that the stress-strain state is composed of the penetrating stress-strain state and the boundary layer character solution. In case of the essential anisotropy, some boundary layer solutions don’t possess the damping property, and they may cover the whole area occupied by the shell.
About the Authors
Natik K. Akhmedov
Baku State University.
Russian Federation
Russian Federation
Tamara B. Mamedova
Baku Slavonic University.
Russian Federation
Russian Federation
References
1. Lehnickii S.G. Teoriya uprugosti anizotropnogo tela / S.G. Lehnickii. – M.: Nauka, 1977. – 415 s. – In Russian.
2. Beitmen G. Vysshie transcendentnye funkcii / G. Beitmen, A. Erdeii. – M.: Nauka, 1965. – 294 s. – In Russian.
3. Boev N.V. Prostranstvennoe napryajenno-deformirovannoe sostoyanie trehsloinoi sfericheskoi obolochki / N.V. Boev, Y.A. Ustinov // Mehanika tverdogo tela. – 1985. – № 3. – S. 136–143. – In Russian.
4. Ustinov Y.A. Matematicheskaya teoriya poperechno-neodnorodnyh plit / Y.A. Ustinov. – Rostov n/D: CVVR, 2006. – 257 s. – In Russian.
5. Mehtiev M.F. Metod odnorodnyh reshenii v anizotropnoi teorii obolochek / M.F. Mehtiev. – Baku: Chashy-ogly, 2009. – 334 s. – In Russian.
6. Ahmedov N.K. Analiz struktury pogranichnogo sloya v zadache krucheniya sloistoi sfericheskoi obolochki / N.K. Ahmedov, Y.A. Ustinov // Prikladnaya matematika i mehanika. – 2009. – T. 73. – Vyp. 3. – S. 416–426. – In Russian.
Review
For citations:
Akhmedov N.K., Mamedova T.B. ASYMPTOTIC BEHAVIOR OF SOLUTION TO TORSION PROBLEM FOR RADIALLY INHOMOGENEOUS TRANSVERSALLY ISOTROPIC SPHERICAL SHELL. Vestnik of Don State Technical University. 2011;11(4):455-461. (In Russ.)
Views:
365
Email this article 