Spherical cavity in the layer subjected to dynamic load
The problem of wave motion with spherical symmetry is analysed. For this purpose, a spherical cavity surrounded by layer is considered as a mathematical model which can be used for modelling various phenomena in solid mechanics. The additional layer is also spherical and the outer space is described...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2019-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/32/e3sconf_ceim2019_01025.pdf |
| _version_ | 1818415059133530112 |
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| author | Koziol Piotr Mares Cristinel Pilecki Rafał |
| author_facet | Koziol Piotr Mares Cristinel Pilecki Rafał |
| author_sort | Koziol Piotr |
| collection | DOAJ |
| description | The problem of wave motion with spherical symmetry is analysed. For this purpose, a spherical cavity surrounded by layer is considered as a mathematical model which can be used for modelling various phenomena in solid mechanics. The additional layer is also spherical and the outer space is described as unbounded medium. All layers are isotropic, homogeneous and linearly elastic, although the presented formulation allows inclusion of weak nonlinearities. Analytical solutions for displacement and stresses (radial and circumferential) are presented along with some discussion of possible model extensions. |
| first_indexed | 2024-12-14T11:28:58Z |
| format | Article |
| id | doaj.art-cb0b4338b7064905bc1da9c079d31b3c |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-14T11:28:58Z |
| publishDate | 2019-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-cb0b4338b7064905bc1da9c079d31b3c2022-12-21T23:03:23ZengEDP SciencesE3S Web of Conferences2267-12422019-01-011060102510.1051/e3sconf/201910601025e3sconf_ceim2019_01025Spherical cavity in the layer subjected to dynamic loadKoziol PiotrMares CristinelPilecki RafałThe problem of wave motion with spherical symmetry is analysed. For this purpose, a spherical cavity surrounded by layer is considered as a mathematical model which can be used for modelling various phenomena in solid mechanics. The additional layer is also spherical and the outer space is described as unbounded medium. All layers are isotropic, homogeneous and linearly elastic, although the presented formulation allows inclusion of weak nonlinearities. Analytical solutions for displacement and stresses (radial and circumferential) are presented along with some discussion of possible model extensions.https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/32/e3sconf_ceim2019_01025.pdfSpherical cavityDynamic loadWave propagation |
| spellingShingle | Koziol Piotr Mares Cristinel Pilecki Rafał Spherical cavity in the layer subjected to dynamic load E3S Web of Conferences Spherical cavity Dynamic load Wave propagation |
| title | Spherical cavity in the layer subjected to dynamic load |
| title_full | Spherical cavity in the layer subjected to dynamic load |
| title_fullStr | Spherical cavity in the layer subjected to dynamic load |
| title_full_unstemmed | Spherical cavity in the layer subjected to dynamic load |
| title_short | Spherical cavity in the layer subjected to dynamic load |
| title_sort | spherical cavity in the layer subjected to dynamic load |
| topic | Spherical cavity Dynamic load Wave propagation |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/32/e3sconf_ceim2019_01025.pdf |
| work_keys_str_mv | AT koziolpiotr sphericalcavityinthelayersubjectedtodynamicload AT marescristinel sphericalcavityinthelayersubjectedtodynamicload AT pileckirafał sphericalcavityinthelayersubjectedtodynamicload |