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Formulation for static behavior of the viscoelastic Euler-Bernoulli micro-beam based on the modified couple stress theory

Taati, E ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2012-86591
  3. Publisher: 2012
  4. Abstract:
  5. In this work an analytical solution is presented for a viscoelastic micro-beam based on the modified couple stress theory which is a non-classical theory in continuum mechanics. The modified couple stress theory has the ability to consider small size effects in micro-structures. It is strongly emphasized that without considering these effects in such structures the solution will be wrong and not suitable for designing systems in micro-scales. In this study correspondence principle is used for deriving constitutive equations for viscoelastic material based on the modified couple stress theory. Governing equilibrium equations are obtained by considering an element of micro-beam. Closedform solution for the static deflection of simply supported micro-beam is presented. Numerical results show that when the size of system is near the length scale parameter, the classical response will intensely be deviated from the correct solution observed in laboratories contrary to the modified couple stress which reflects the size effects
  6. Keywords:
  7. Closed form solutions ; Correspondence principle ; Equilibrium equation ; Length scale parameter ; Modified couple stress ; Modified couple stress theories ; Small-size effects ; Visco-elastic material ; Continuum mechanics ; Mechanical engineering ; Viscoelasticity
  8. Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE) ; Volume 9, Issue PARTS A AND B , 2012 , Pages 129-135 ; 9780791845257 (ISBN)
  9. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1751704