%0 Journal Article %T Modeling and Vibration Characteristics of Cracked Nano-Beams Made of Nanocrystalline Materials %A Mohammed Shaat %A Akbarzadeh Khorshidi, Majid %A Abdessattar Abdelkefi %A Shariati, Mahmoud %J International Journal of Mechanical Sciences %@ 0020-7403 %D 2016