RT Journal Article
ID 6f90a0626d8b9f5e
A1 Ahmadi, A. R. 
A1 Farahmand , H.
A1 Arabnejad, S.
T1 STATIC DEFLECTION ANALYSIS OF FLEXURAL SIMPLY SUPPORTED SECTORIAL MICRO-PLATE USING <i>P</i>-VERSION FINITE-ELEMENT METHOD
JF International Journal for Multiscale Computational Engineering
JO JMC
YR 2011
FD 2011-06-30
VO 9
IS 2
SP 193
OP 200
K1 flexural micro-plates
K1 strain gradient elasticity
K1 hierarchical -version finite-element method
AB In this paper, flexural Kirchhoff plate theory is utilized for static analysis of isotropic sectorial micro-plates based on
a modified couple stress theory containing one material length scale parameter. The Levy method is implemented and
the resulting sixth-order differential equation is solved for the unknown deflection using the <i>p</i>-version finite-element
method. The Galerkin form of this differential equation is first reduced to its weak form and then solved using hierarchical
<i>p</i>-version finite elements with second-order global smoothness. The computed deflection distribution of the micro-plate
is compared with that of the classical theory, in which micro-effects are not present. A series of studies have revealed
that when the length scale parameters are considered, deflection of a sectorial plate decreases as the length scale effect is
increased; in other words, the micro-plate exhibits more rigidity.
PB Begell House
LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,510397234a1cbb30,6f90a0626d8b9f5e.html