Post-buckling analysis of piezo-magnetic nanobeams with geometrical imperfection and different piezoelectric contents

Abstract

Thermal post-buckling behavior of a geometrically imperfect/perfect piezo-magnetic nano-scale beams made of two-phase composites is analyzed in the present paper based on nonlocal elasticity theory. For the first time, the material properties of the nanobeam are considered as functions of piezoelectric phase percentage. All previous investigations on piezo-magnetic nanobeams neglect the effect of geometrical imperfection which is very important since the nanobeams are not always ideal or perfect. The post-buckling problem of such nanobeams is solved by introducing an analytical approach to derive buckling temperatures. The present solution is simple and easily understandable. For both perfect and imperfect smart nanobeams, it will be indicated that post-buckling temperature is dependent on the piezoelectric phase percentage, magnetic potential, electric voltage, imperfection amplitude and nonlocal effects. - 2018, Springer-Verlag GmbH Germany, part of Springer Nature.