Elastic equilibrium state of thick-walled heavy transversally-isotropic spheres fixed on the interior surface
Using decomposition of hoop and radial components of displacement vector to the trigonometrical and generalized power series, the new precise analytical solution to problem on equilibrium state of thick-walled heavy transversally-isotropic central-symmetric body, which is fixed on the interior surfa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2010-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/21047/17305 |
| _version_ | 1818024514568585216 |
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| author | Alexey V Zaitsev Anton A Fukalov |
| author_facet | Alexey V Zaitsev Anton A Fukalov |
| author_sort | Alexey V Zaitsev |
| collection | DOAJ |
| description | Using decomposition of hoop and radial components of displacement vector to the trigonometrical and generalized power series, the new precise analytical solution to problem on equilibrium state of thick-walled heavy transversally-isotropic central-symmetric body, which is fixed on the interior surface and is subject to the action of uniform external lateral pressure, is obtained. This can set a pattern for precise solutions in particular cases of the relations for displacements, stresses and strains at the points inside thick-walled heavy isotropic sphere, the interior surface of which is fixed, while the exterior one being under the uniform pressure. The estimation of an initial strength of solid-cast reinforced concrete sphere is carried out on the basis of a multicriteria approach taking into account real damage mechanisms (i. e. damage from tension or compression in radial, hoop and axial directions, and from transversal and antiplane shear) of anisotropic central-symmetric bodies. |
| first_indexed | 2024-12-10T04:01:26Z |
| format | Article |
| id | doaj.art-b52d16f2499540dd88f0085033db6c31 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T04:01:26Z |
| publishDate | 2010-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-b52d16f2499540dd88f0085033db6c312022-12-22T02:02:58ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812010-06-01142859518465Elastic equilibrium state of thick-walled heavy transversally-isotropic spheres fixed on the interior surfaceAlexey V Zaitsev0Anton A Fukalov1Perm State Technical University (National Research University)Perm State Technical University (National Research University)Using decomposition of hoop and radial components of displacement vector to the trigonometrical and generalized power series, the new precise analytical solution to problem on equilibrium state of thick-walled heavy transversally-isotropic central-symmetric body, which is fixed on the interior surface and is subject to the action of uniform external lateral pressure, is obtained. This can set a pattern for precise solutions in particular cases of the relations for displacements, stresses and strains at the points inside thick-walled heavy isotropic sphere, the interior surface of which is fixed, while the exterior one being under the uniform pressure. The estimation of an initial strength of solid-cast reinforced concrete sphere is carried out on the basis of a multicriteria approach taking into account real damage mechanisms (i. e. damage from tension or compression in radial, hoop and axial directions, and from transversal and antiplane shear) of anisotropic central-symmetric bodies.https://journals.eco-vector.com/1991-8615/article/viewFile/21047/17305thick-walled heavy transversally-isotropicexact analytical solutionsmulti-criteria estimation of an initial strength |
| spellingShingle | Alexey V Zaitsev Anton A Fukalov Elastic equilibrium state of thick-walled heavy transversally-isotropic spheres fixed on the interior surface Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki thick-walled heavy transversally-isotropic exact analytical solutions multi-criteria estimation of an initial strength |
| title | Elastic equilibrium state of thick-walled heavy transversally-isotropic spheres fixed on the interior surface |
| title_full | Elastic equilibrium state of thick-walled heavy transversally-isotropic spheres fixed on the interior surface |
| title_fullStr | Elastic equilibrium state of thick-walled heavy transversally-isotropic spheres fixed on the interior surface |
| title_full_unstemmed | Elastic equilibrium state of thick-walled heavy transversally-isotropic spheres fixed on the interior surface |
| title_short | Elastic equilibrium state of thick-walled heavy transversally-isotropic spheres fixed on the interior surface |
| title_sort | elastic equilibrium state of thick walled heavy transversally isotropic spheres fixed on the interior surface |
| topic | thick-walled heavy transversally-isotropic exact analytical solutions multi-criteria estimation of an initial strength |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/21047/17305 |
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