Plastic deformations in the ring spherical shells
In the present work the results of the study of plastic deformations distribution in the thickness in ring spherical shells are presented. Resolving differential equations system is based on the Hirchhoff-Lave hypothesis, linear thin shells theory and small elastic-plastic deformations theory. The s...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201825104060 |
| _version_ | 1819299295544737792 |
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| author | Astakhova Avgustina |
| author_facet | Astakhova Avgustina |
| author_sort | Astakhova Avgustina |
| collection | DOAJ |
| description | In the present work the results of the study of plastic deformations distribution in the thickness in ring spherical shells are presented. Resolving differential equations system is based on the Hirchhoff-Lave hypothesis, linear thin shells theory and small elastic-plastic deformations theory. The studying of the development area of plastic deformations in shells thickness are performed with using the results of the elastic solutions method. The basic relations of elastic solutions method that allow to determine the distribution areas of plastic deformations in shells thickness and along the generatrix are presented. The diagram of intense stress dependence from the strain intensity with linear hardening is received. The numerical solution is performed by orthogonal run method. Long and short spherical shells under the operation of three evenly distributed ring loads are observed. The shells have a tough jamming along the contour at the bottom and at the top. Dependency between tension intensity and deformations intensity is accepted for the case of a material linear hardening. Area of plastic deformations in shells thickness for three kinds of ring spherical shells are shown. The results for the loads differed by the value in twice are presented. |
| first_indexed | 2024-12-24T05:43:32Z |
| format | Article |
| id | doaj.art-73cc48a49358466c954a09adf91a41f4 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-24T05:43:32Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-73cc48a49358466c954a09adf91a41f42022-12-21T17:12:44ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012510406010.1051/matecconf/201825104060matecconf_ipicse2018_04060Plastic deformations in the ring spherical shellsAstakhova AvgustinaIn the present work the results of the study of plastic deformations distribution in the thickness in ring spherical shells are presented. Resolving differential equations system is based on the Hirchhoff-Lave hypothesis, linear thin shells theory and small elastic-plastic deformations theory. The studying of the development area of plastic deformations in shells thickness are performed with using the results of the elastic solutions method. The basic relations of elastic solutions method that allow to determine the distribution areas of plastic deformations in shells thickness and along the generatrix are presented. The diagram of intense stress dependence from the strain intensity with linear hardening is received. The numerical solution is performed by orthogonal run method. Long and short spherical shells under the operation of three evenly distributed ring loads are observed. The shells have a tough jamming along the contour at the bottom and at the top. Dependency between tension intensity and deformations intensity is accepted for the case of a material linear hardening. Area of plastic deformations in shells thickness for three kinds of ring spherical shells are shown. The results for the loads differed by the value in twice are presented.https://doi.org/10.1051/matecconf/201825104060 |
| spellingShingle | Astakhova Avgustina Plastic deformations in the ring spherical shells MATEC Web of Conferences |
| title | Plastic deformations in the ring spherical shells |
| title_full | Plastic deformations in the ring spherical shells |
| title_fullStr | Plastic deformations in the ring spherical shells |
| title_full_unstemmed | Plastic deformations in the ring spherical shells |
| title_short | Plastic deformations in the ring spherical shells |
| title_sort | plastic deformations in the ring spherical shells |
| url | https://doi.org/10.1051/matecconf/201825104060 |
| work_keys_str_mv | AT astakhovaavgustina plasticdeformationsintheringsphericalshells |