The multi-layered ring under parabolic distribution of radial stresses combined with uniform internal and external pressure
A recently introduced solution for the stress- and displacement-fields, developed in a multi-layered circular ring, composed of a finite number of linearly elastic concentric layers, subjected to a parabolic distribution of ra-dial stresses, is here extended to encompass a more general loading schem...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2017-04-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero40/numero_40_art_10.pdf |
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| _version_ | 1841562894984019968 |
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| author | Christos F. Markides Ermioni D. Pasiou Stavros K. Kourkoulis |
| author_facet | Christos F. Markides Ermioni D. Pasiou Stavros K. Kourkoulis |
| author_sort | Christos F. Markides |
| collection | DOAJ |
| description | A recently introduced solution for the stress- and displacement-fields, developed in a multi-layered circular ring, composed of a finite number of linearly elastic concentric layers, subjected to a parabolic distribution of ra-dial stresses, is here extended to encompass a more general loading scheme, closer to actual conditions. The loading scheme includes, besides the para¬-bolic radial stresses, a combination of uniform pressures acting along the outer- and inner- most boundaries of the layered ring. The analytic solution of the problem is achieved by adopting Savin’s pioneering approach for an infinite plate with a hole strengthened by rings. Taking advantage of the results provided by the ana¬lytic solution, a numerical model, simulating the configuration of a three-layered ring (quite commonly encountered in practic¬al applications) is validated. The numerical model is then used for a parametric analysis enlightening some crucial aspects of the overall response of the ring. |
| format | Article |
| id | doaj-art-05933f49b6a441d59e827ef4abead782 |
| institution | Kabale University |
| issn | 1971-8993 1971-8993 |
| language | English |
| publishDate | 2017-04-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-05933f49b6a441d59e827ef4abead7822025-01-03T00:39:01ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89931971-89932017-04-01114010812810.3221/IGF-ESIS.40.10The multi-layered ring under parabolic distribution of radial stresses combined with uniform internal and external pressureChristos F. Markides0Ermioni D. Pasiou1Stavros K. Kourkoulis2National Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, 5 Heroes of Polytechnion Avenue, Theocaris Bld., Zografou Campus, 157 73 Athens, GreeceNational Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, 5 Heroes of Polytechnion Avenue, Theocaris Bld., Zografou Campus, 157 73 Athens, GreeceNational Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, 5 Heroes of Polytechnion Avenue, Theocaris Bld., Zografou Campus, 157 73 Athens, GreeceA recently introduced solution for the stress- and displacement-fields, developed in a multi-layered circular ring, composed of a finite number of linearly elastic concentric layers, subjected to a parabolic distribution of ra-dial stresses, is here extended to encompass a more general loading scheme, closer to actual conditions. The loading scheme includes, besides the para¬-bolic radial stresses, a combination of uniform pressures acting along the outer- and inner- most boundaries of the layered ring. The analytic solution of the problem is achieved by adopting Savin’s pioneering approach for an infinite plate with a hole strengthened by rings. Taking advantage of the results provided by the ana¬lytic solution, a numerical model, simulating the configuration of a three-layered ring (quite commonly encountered in practic¬al applications) is validated. The numerical model is then used for a parametric analysis enlightening some crucial aspects of the overall response of the ring.http://www.gruppofrattura.it/pdf/rivista/numero40/numero_40_art_10.pdfMulti-layered ringParabolic pressureStress and displacement fieldsUniform pressureComplex potentials |
| spellingShingle | Christos F. Markides Ermioni D. Pasiou Stavros K. Kourkoulis The multi-layered ring under parabolic distribution of radial stresses combined with uniform internal and external pressure Fracture and Structural Integrity Multi-layered ring Parabolic pressure Stress and displacement fields Uniform pressure Complex potentials |
| title | The multi-layered ring under parabolic distribution of radial stresses combined with uniform internal and external pressure |
| title_full | The multi-layered ring under parabolic distribution of radial stresses combined with uniform internal and external pressure |
| title_fullStr | The multi-layered ring under parabolic distribution of radial stresses combined with uniform internal and external pressure |
| title_full_unstemmed | The multi-layered ring under parabolic distribution of radial stresses combined with uniform internal and external pressure |
| title_short | The multi-layered ring under parabolic distribution of radial stresses combined with uniform internal and external pressure |
| title_sort | multi layered ring under parabolic distribution of radial stresses combined with uniform internal and external pressure |
| topic | Multi-layered ring Parabolic pressure Stress and displacement fields Uniform pressure Complex potentials |
| url | http://www.gruppofrattura.it/pdf/rivista/numero40/numero_40_art_10.pdf |
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