Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept
In this study, static behaviors of functionally graded plates resting on Winkler-Pasternak elastic foundation using the four-variable refined theory and the physical neutral surface concept is reported. The four-variable refined theory assumes that the transverse shear strain has a parabolic distrib...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Polish Academy of Sciences
2021-04-01
|
| Series: | Archive of Mechanical Engineering |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/115038/PDF/AME_2021_131706.pdf |
| _version_ | 1811313433078923264 |
|---|---|
| author | Van Loi Nguyen Minh Tu Tran Van Long Nguyen Quang Huy Le |
| author_facet | Van Loi Nguyen Minh Tu Tran Van Long Nguyen Quang Huy Le |
| author_sort | Van Loi Nguyen |
| collection | DOAJ |
| description | In this study, static behaviors of functionally graded plates resting on Winkler-Pasternak elastic foundation using the four-variable refined theory and the physical neutral surface concept is reported. The four-variable refined theory assumes that the transverse shear strain has a parabolic distribution across the plate’s thickness, thus, there is no need to use the shear correction factor. The material properties of the plate vary continuously and smoothly according to the thickness direction by a power-law distribution. The geometrical middle surface of the functionally graded plate selected in computations is very popular in the existing literature. By contrast, in this study, the physical neutral surface of the plate is used. Based on the four-variable refined plate theory and the principle of virtual work, the governing equations of the plate are derived. Next, an analytical solution for the functionally graded plate resting on the Winkler-Pasternak elastic foundation is solved using the Navier’s procedure. In numerical investigations, a comparison of the static behaviors of the functionally graded plate between several models of displacement field using the physical neutral surface is given, and parametric studies are also presented. |
| first_indexed | 2024-04-13T10:54:57Z |
| format | Article |
| id | doaj.art-bd83fefbfc1d4f11b2afaedcab7f81b9 |
| institution | Directory Open Access Journal |
| issn | 2300-1895 |
| language | English |
| last_indexed | 2024-04-13T10:54:57Z |
| publishDate | 2021-04-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archive of Mechanical Engineering |
| spelling | doaj.art-bd83fefbfc1d4f11b2afaedcab7f81b92022-12-22T02:49:34ZengPolish Academy of SciencesArchive of Mechanical Engineering2300-18952021-04-01vol. 68No 1522https://doi.org/10.24425/ame.2020.131706Static behaviour of functionally graded plates resting on elastic foundations using neutral surface conceptVan Loi Nguyen0https://orcid.org/0000-0002-8801-3433Minh Tu Tran1https://orcid.org/0000-0002-2208-3463Van Long Nguyen2Quang Huy Le3Department of Strength of Materials, National University of Civil Engineering, Hanoi, VietnamDepartment of Strength of Materials, National University of Civil Engineering, Hanoi, VietnamDepartment of Strength of Materials, National University of Civil Engineering, Hanoi, VietnamDepartment of Highway Engineering, Faculty of Civil Engineering, University of Transport Technology, Hanoi, VietnamIn this study, static behaviors of functionally graded plates resting on Winkler-Pasternak elastic foundation using the four-variable refined theory and the physical neutral surface concept is reported. The four-variable refined theory assumes that the transverse shear strain has a parabolic distribution across the plate’s thickness, thus, there is no need to use the shear correction factor. The material properties of the plate vary continuously and smoothly according to the thickness direction by a power-law distribution. The geometrical middle surface of the functionally graded plate selected in computations is very popular in the existing literature. By contrast, in this study, the physical neutral surface of the plate is used. Based on the four-variable refined plate theory and the principle of virtual work, the governing equations of the plate are derived. Next, an analytical solution for the functionally graded plate resting on the Winkler-Pasternak elastic foundation is solved using the Navier’s procedure. In numerical investigations, a comparison of the static behaviors of the functionally graded plate between several models of displacement field using the physical neutral surface is given, and parametric studies are also presented.https://journals.pan.pl/Content/115038/PDF/AME_2021_131706.pdfstatic analysisfunctionally graded platedwinkler-pasternak foundationphysical neutral surfacefour-variable refined theory |
| spellingShingle | Van Loi Nguyen Minh Tu Tran Van Long Nguyen Quang Huy Le Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept Archive of Mechanical Engineering static analysis functionally graded plated winkler-pasternak foundation physical neutral surface four-variable refined theory |
| title | Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept |
| title_full | Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept |
| title_fullStr | Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept |
| title_full_unstemmed | Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept |
| title_short | Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept |
| title_sort | static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept |
| topic | static analysis functionally graded plated winkler-pasternak foundation physical neutral surface four-variable refined theory |
| url | https://journals.pan.pl/Content/115038/PDF/AME_2021_131706.pdf |
| work_keys_str_mv | AT vanloinguyen staticbehaviouroffunctionallygradedplatesrestingonelasticfoundationsusingneutralsurfaceconcept AT minhtutran staticbehaviouroffunctionallygradedplatesrestingonelasticfoundationsusingneutralsurfaceconcept AT vanlongnguyen staticbehaviouroffunctionallygradedplatesrestingonelasticfoundationsusingneutralsurfaceconcept AT quanghuyle staticbehaviouroffunctionallygradedplatesrestingonelasticfoundationsusingneutralsurfaceconcept |