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Geometrically nonlinear micro-plate formulation based on the modified couple stress theory

Asghari, M ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijengsci.2011.08.013
  3. Publisher: 2012
  4. Abstract:
  5. The couple stress theory is a non-classical continuum theory which is capable to capture size effects in small-scale structures. This property makes it appropriate for modeling the structures in micron and sub-micron scales. The purpose of this paper is the derivation of the governing motion equations and boundary conditions for the geometrically nonlinear micro-plates with arbitrary shapes based on the modified version of the couple stress theory. The consistent boundary conditions are provided at smooth parts of the plate periphery and also at the sharp corners of the periphery using variational approach
  6. Keywords:
  7. Non-classical continuum theory ; Arbitrary shape ; Continuum theory ; Couple stress theory ; Geometrical non-linearity ; Geometrically nonlinear ; Micro-plate ; Modified couple stress theory ; Sharp corners ; Size effects ; Small-scale structures ; Submicron scale ; Variational approaches ; Boundary conditions ; Continuum mechanics ; Equations of motion ; Nonlinear equations ; Plates (structural components)
  8. Source: International Journal of Engineering Science ; Volume 51 , 2012 , Pages 292-309 ; 00207225 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0020722511001789