|
Abstract
|
In this paper a new scheme, other than the modified couple stress theory (M-CST) and
consistent couple stress theory (C-CST), is proposed for the analysis of micro-beams
and based on the main kinematical assumptions in the beam theories, the couple-stress
tensor is constrained to be skew-symmetric. This new consideration also makes it possible
to revise the governing equations and boundary conditions, derived from Hamilton's
principle into a more convenient form. Then according to the third-order Reddy{Levinson
beam theory, a revised couple stress model similar to the classical Timoshenko beam
theory is presented in the current study. The validity of the model is demonstrated by
static bending and free vibration investigations of isotropic and FG porous micro-beams
subjected to a concentrated load at the mid-span.
|