In this work, a finite element formulation for size dependent frame system is presented. Size dependency discussed via the modified couple stress theory. The nodal displacement and rotation analyses of with total three elements, including two columns one beam connecting these columns, are considered. classical stiffness matrices derived. Then, solution procedure problem explained. Lastly, numer...

This paper deals with the effect of the intrinsic material length-scale parameter on the stability and natural frequency of a rectangular micro-plate for two different cases; fully clamped and fully simply supported. A variational formulation based on Hamilton’s principle and the modified couple stress theory is used to obtain the nonlinear governing equation of a micro-plate incorporating the ...

In this paper, a size-dependent formulation for the Bernoulli-Euler beam is developed based on a new model of couple stress theory presented by Hadjesfandiari and Dargush. The constitutive equation obtained in this new model, consists of only one length scale parameter that is capable of capturing the micro-structural size effect in predicting the mechanical behavior of the structure. Having on...