Reissner-Mindlin plate theory for elastodynamics
Existence and uniqueness of solution are proved for elastodynamics of Reissner-Mindlin plate model. Higher regularity is proved under the assumptions of smoother data and certain compatibility conditions. A mass scaling is introduced. When the thickness approaches zero, the solution of the clamped R...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04401090 |
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| _version_ | 1832559374860550144 |
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| author | Shen Rong Wu |
| author_facet | Shen Rong Wu |
| author_sort | Shen Rong Wu |
| collection | DOAJ |
| description | Existence and uniqueness of solution are proved for
elastodynamics of Reissner-Mindlin plate model. Higher regularity
is proved under the assumptions of smoother data and certain
compatibility conditions. A mass scaling is introduced. When the
thickness approaches zero, the solution of the clamped
Reissner-Mindlin plate is shown to approach the solution of a
Kirchhoff-Love plate. |
| format | Article |
| id | doaj-art-d005caf2ad164c74972c50b810b0c245 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d005caf2ad164c74972c50b810b0c2452025-02-03T01:30:14ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-012004317918910.1155/S1110757X04401090Reissner-Mindlin plate theory for elastodynamicsShen Rong Wu0Research and Advanced Engineering, Ford Motor Company, 2101 Village Road, SRL-MD 2115, Dearborn 48124, MI, USAExistence and uniqueness of solution are proved for elastodynamics of Reissner-Mindlin plate model. Higher regularity is proved under the assumptions of smoother data and certain compatibility conditions. A mass scaling is introduced. When the thickness approaches zero, the solution of the clamped Reissner-Mindlin plate is shown to approach the solution of a Kirchhoff-Love plate.http://dx.doi.org/10.1155/S1110757X04401090 |
| spellingShingle | Shen Rong Wu Reissner-Mindlin plate theory for elastodynamics Journal of Applied Mathematics |
| title | Reissner-Mindlin plate theory for elastodynamics |
| title_full | Reissner-Mindlin plate theory for elastodynamics |
| title_fullStr | Reissner-Mindlin plate theory for elastodynamics |
| title_full_unstemmed | Reissner-Mindlin plate theory for elastodynamics |
| title_short | Reissner-Mindlin plate theory for elastodynamics |
| title_sort | reissner mindlin plate theory for elastodynamics |
| url | http://dx.doi.org/10.1155/S1110757X04401090 |
| work_keys_str_mv | AT shenrongwu reissnermindlinplatetheoryforelastodynamics |