Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity
A complete set of eigensolutions is constructed for different variants of circular conical bodies: homogeneous cone with one lateral surface (solid cone), homogeneous cone with two lateral surfaces (hollow cone) and composite cone for different variants of boundary conditions on the lateral surface....
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| Language: | English |
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Gruppo Italiano Frattura
2019-05-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/2487 |
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| author | Tatyana Korepanova Valerii Matveenko Igor Shardakov |
| author_facet | Tatyana Korepanova Valerii Matveenko Igor Shardakov |
| author_sort | Tatyana Korepanova |
| collection | DOAJ |
| description | A complete set of eigensolutions is constructed for different variants of circular conical bodies: homogeneous cone with one lateral surface (solid cone), homogeneous cone with two lateral surfaces (hollow cone) and composite cone for different variants of boundary conditions on the lateral surface. It has been shown that the constructed eigensolutions can be readily applied for estimation of the character of stress singularity at the vertices of conical bodies. The character of stress singularity at the vertex of the solid and hollow cones for different variants of boundary conditions on the lateral surfaces has been defined by direct numerical simulations. Numerical results obtained for solid, hollow and compose cones under different boundary conditions on the lateral surfaces are discussed. |
| format | Article |
| id | doaj-art-1b86ca58f1df433fa0f0cbd9e24ef6bb |
| institution | DOAJ |
| issn | 1971-8993 |
| language | English |
| publishDate | 2019-05-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-1b86ca58f1df433fa0f0cbd9e24ef6bb2025-08-20T02:51:39ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-05-011349Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses SingularityTatyana Korepanova0Valerii Matveenko1Igor Shardakov2Perm Military Institute of the National Guard Troops of the Russian Federation, Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science (ICMM UB RAS)Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of ScienceInstitute of Continuous Media Mechanics of the Ural Branch of Russian Academy of ScienceA complete set of eigensolutions is constructed for different variants of circular conical bodies: homogeneous cone with one lateral surface (solid cone), homogeneous cone with two lateral surfaces (hollow cone) and composite cone for different variants of boundary conditions on the lateral surface. It has been shown that the constructed eigensolutions can be readily applied for estimation of the character of stress singularity at the vertices of conical bodies. The character of stress singularity at the vertex of the solid and hollow cones for different variants of boundary conditions on the lateral surfaces has been defined by direct numerical simulations. Numerical results obtained for solid, hollow and compose cones under different boundary conditions on the lateral surfaces are discussed.https://www.fracturae.com/index.php/fis/article/view/2487stress singulariryconcal bodieseigensolutions |
| spellingShingle | Tatyana Korepanova Valerii Matveenko Igor Shardakov Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity Fracture and Structural Integrity stress singulariry concal bodies eigensolutions |
| title | Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity |
| title_full | Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity |
| title_fullStr | Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity |
| title_full_unstemmed | Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity |
| title_short | Construction of Analytical Eigensolutions for Isotropic Conical Bodies and Their Application for Estimation of Stresses Singularity |
| title_sort | construction of analytical eigensolutions for isotropic conical bodies and their application for estimation of stresses singularity |
| topic | stress singulariry concal bodies eigensolutions |
| url | https://www.fracturae.com/index.php/fis/article/view/2487 |
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