Relationship between Poisson Ratio and Nonlocality of Homogenized Nonlocal Beam Structure

Abstract

Nonlocality is the mechanical behavior which is specified by the mechanical circumstance around the material point. In general, the range which can be measured by the characteristic length seems to be extremely small in the macroscopic scale. In the present research, the possibility of macroscopic nonlocality is investigated by the homogenized frame structures consisting of the nonlocal beam formulated by micropolar elasticity. The results suggest that the characteristic length is beyond the micrometer size and the Poisson ration of the whole structures approaches zero as the nonlocal elastic property increases.