Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory
MECCANICA, vol.48, no.4, pp.863-873, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 48 Issue: 4
- Publication Date: 2013
- Doi Number: 10.1007/s11012-012-9639-x
- Journal Name: MECCANICA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.863-873
- Keywords: Micro plates, Elastic medium, Size effect, Modified couple stress theory, STRAIN GRADIENT PLASTICITY, VIBRATION ANALYSIS, BEAMS
- Akdeniz University Affiliated: Yes
Abstract
Analytical solutions for bending, buckling, and vibration of micro-sized plates on elastic medium using the modified couple stress theory are presented. The governing equations for bending, buckling and vibration are obtained via Hamilton's principles in conjunctions with the modified couple stress and Kirchhoff plate theories. The surrounding elastic medium is modeled as the Winkler elastic foundation. Navier's method is being employed and analytical solutions for the bending, buckling and free vibration problems are obtained. Influences of the elastic medium and the length scale parameter on the bending, buckling, and vibration properties are discussed.