An analytical approach for buckling of Euler–Bernoulli nano-porous-beams with thermal effects resting on combined elastic foundation

In this paper, buckling analysis of the nano porous straightbeam of rectangular cross section under compressive axialload with temperature effects is carried out. The effect ofelastic foundation is considered as transverse distributedloading.The beam is made of isotropic nano porous materialsand its properties are varying through thickness of the beamlike Young’s modulus, shear modulus and Thermalcoefficient due to the non-uniform porosity distribution.Theoretical formulation and governing of motion Based onEuler Bernoulli beam theory are derived. Hamilton sprinciple and Galerkin’s method is employed to obtaincritical thermal buckling load of porous nano beams.

Keywords:

buckling , nano-porous beam , nonlocal theory , Euler Bernoulli beam