Bending and vibration analysis of delaminated Bernoulli-Euler microbeams using the modi ed couple stress

In this paper, we study static bending and free vibration behaviors of Bernoulli-Euler microbeams with a single delamination using the modied couple stress theory. The delaminated beam is modeled by four interconnected sub-beams using the delamination zone as their boundaries. The free and constrained mode theories are utilized to model the interaction of delamination surfaces in the damaged area. The continuity as well as compatibility conditions are satised between the neighboring sub-beams. After verication of the results for some case studies with available solutions, the eects of various parameters, such as spanwise and thicknesswise locations of the delamination, material length-scale parameter, and boundary conditions, on the static bending and free vibration characteristics of the size-dependent microbeam, have been investigated in detail.