Abstract
Semi-analytical 3-D elasticity solutions are presented for orthotropic multi-directional functionally graded plates using the differential quadrature method (DQM) based on the state-space formalism. Material properties are assumed to vary not only through the thickness but also in the in-plane directions following an exponential law. The graded in-plane domain is solved numerically via the DQM, while exact solutions are sought for the thickness domain using the state-space method. Convergence studies are performed, and the present hybrid semi-analytical method is validated by comparing numerical results with the exact solutions for a conventional unidirectional functionally graded plate. Finally, effects of material gradient indices on the displacement and stress fields of the plates are investigated and discussed. © 2009 John Wiley & Sons, Ltd.
| Original language | English |
|---|---|
| Pages (from-to) | 25-44 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 79 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2 Jul 2009 |
Research Keywords
- 3-D elasticity
- Differential quadrature method
- Multi-directional functionally graded plates
- Semi-analytical analysis
- State-space method
Fingerprint
Dive into the research topics of 'Semi-analytical analysis for multi-directional functionally graded plates: 3-D elasticity solutions'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver