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Higher-order shear and normal deformable theory for functionally graded incompressible linear elastic plates
| Content Provider | Semantic Scholar |
|---|---|
| Author | Batra, Romesh C. |
| Copyright Year | 2007 |
| Abstract | We use the principle of virtual work to derive a higher-order shear and normal deformable theory for a plate comprised of a linear elastic incompressible anisotropic material. The theory does not use a shear correction factor and employs three components of displacement and the hydrostatic pressure as independent variables. For a Kth order plate theory, a set of 4ðK þ 1Þ coupled equations need to be solved for the ðK þ 1Þ pressures and the 3ðK þ 1Þ displacements defined on the reference surface of the plate. Equations for free vibrations of a plate are derived, and equations for the determination of frequencies and the corresponding mode shapes of a simply supported rectangular plate are given. r 2007 Elsevier Ltd. All rights reserved. |
| Starting Page | 974 |
| Ending Page | 982 |
| Page Count | 9 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.tws.2007.07.008 |
| Alternate Webpage(s) | http://www.beam.vt.edu/batra/pdf/pdfpapers/thin-walled2007(974-982).pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.tws.2007.07.008 |
| Volume Number | 45 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
