Modelling size dependent bending behavior of cracked magneto electro piezoelectric nanobeam under hygro-thermal loads

This study is focused on the bending response of electro-magneto-elastic nanobeams exposed to hygro-thermal environments while resting on a Winkler–Pasternak elastic foundation, utilizing non local elasticity theory. The governing equations are formulated within the framework of parabolic third order shear deformation beam theory and derived using Hamilton’s principle. An open crack is modeled as a rotational spring to represent its local flexibility, and its influence is integrated into the analytical solution. A comprehensive parametric study examines how the nonlocal parameter, crack severity and position, aspect ratio, hygro-thermal and magneto-electro-mechanical loadings, influence the deflectionn characteristics of nanobeams. The findings reveal that cracks, boundary conditions, nonlocal effects, and beam geometry significantly influence the dimensionless deflection behavior of nanoscale structures.

کلیدواژه ها:

Bending ، nonlocal elasticity theory ، hygro-thermal loading ، magneto-electro piezoelectric nanobeam ، crack