ASYMPTOTIC BEHAVIOR OF SOLUTION TO TORSION PROBLEM FOR RADIALLY INHOMOGENEOUS TRANSVERSALLY ISOTROPIC SPHERICAL SHELL
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | Russian |
| Published: |
Don State Technical University
2018-07-01
|
| Series: | Вестник Донского государственного технического университета |
| Subjects: | |
| Online Access: | https://vestnik.donstu.ru/jour/article/view/745 |
| _version_ | 1818137877470511104 |
|---|---|
| author | Natik K. Akhmedov Tamara B. Mamedova |
| author_facet | Natik K. Akhmedov Tamara B. Mamedova |
| author_sort | Natik K. Akhmedov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T10:03:17Z |
| format | Article |
| id | doaj.art-4af6e5b49b6a49d89d2d4cfc4a5281ef |
| institution | Directory Open Access Journal |
| issn | 1992-5980 1992-6006 |
| language | Russian |
| last_indexed | 2024-12-11T10:03:17Z |
| publishDate | 2018-07-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Вестник Донского государственного технического университета |
| spelling | doaj.art-4af6e5b49b6a49d89d2d4cfc4a5281ef2022-12-22T01:12:03ZrusDon State Technical UniversityВестник Донского государственного технического университета1992-59801992-60062018-07-01114455461737ASYMPTOTIC BEHAVIOR OF SOLUTION TO TORSION PROBLEM FOR RADIALLY INHOMOGENEOUS TRANSVERSALLY ISOTROPIC SPHERICAL SHELLNatik K. Akhmedov0Tamara B. Mamedova1Baku State University.Baku Slavonic University.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.https://vestnik.donstu.ru/jour/article/view/745radially inhomogeneous spherical shellboundary layerhomogeneous solutions. |
| spellingShingle | Natik K. Akhmedov Tamara B. Mamedova ASYMPTOTIC BEHAVIOR OF SOLUTION TO TORSION PROBLEM FOR RADIALLY INHOMOGENEOUS TRANSVERSALLY ISOTROPIC SPHERICAL SHELL Вестник Донского государственного технического университета radially inhomogeneous spherical shell boundary layer homogeneous solutions. |
| title | ASYMPTOTIC BEHAVIOR OF SOLUTION TO TORSION PROBLEM FOR RADIALLY INHOMOGENEOUS TRANSVERSALLY ISOTROPIC SPHERICAL SHELL |
| title_full | ASYMPTOTIC BEHAVIOR OF SOLUTION TO TORSION PROBLEM FOR RADIALLY INHOMOGENEOUS TRANSVERSALLY ISOTROPIC SPHERICAL SHELL |
| title_fullStr | ASYMPTOTIC BEHAVIOR OF SOLUTION TO TORSION PROBLEM FOR RADIALLY INHOMOGENEOUS TRANSVERSALLY ISOTROPIC SPHERICAL SHELL |
| title_full_unstemmed | ASYMPTOTIC BEHAVIOR OF SOLUTION TO TORSION PROBLEM FOR RADIALLY INHOMOGENEOUS TRANSVERSALLY ISOTROPIC SPHERICAL SHELL |
| title_short | ASYMPTOTIC BEHAVIOR OF SOLUTION TO TORSION PROBLEM FOR RADIALLY INHOMOGENEOUS TRANSVERSALLY ISOTROPIC SPHERICAL SHELL |
| title_sort | asymptotic behavior of solution to torsion problem for radially inhomogeneous transversally isotropic spherical shell |
| topic | radially inhomogeneous spherical shell boundary layer homogeneous solutions. |
| url | https://vestnik.donstu.ru/jour/article/view/745 |
| work_keys_str_mv | AT natikkakhmedov asymptoticbehaviorofsolutiontotorsionproblemforradiallyinhomogeneoustransversallyisotropicsphericalshell AT tamarabmamedova asymptoticbehaviorofsolutiontotorsionproblemforradiallyinhomogeneoustransversallyisotropicsphericalshell |