On the mechanics of laminated microplates

This paper investigates the mechanical behavior of micro scaled laminated composite plates based on the modified couple stress theory. To this aim, considering a displacement field for the plate, the kinematic parameters such as strains and curvatures are calculated. Utilizing these kinematic parameters, classical stresses and couple stresses are obtained in each layer and consequently the equation of motion is derived using equilibrium equations of forces and moment of forces. Equivalent mechanical properties including the length scale parameter are presented for the composite plate. Using these equivalent quantities, static deflection and natural frequency of bilayer microplates are investigated and effects of size dependency on the mechanical behavior of the structure are assessed.