Thermal postbuckling of functionally graded graphene platelet-reinforced composite beams
Thermal postbuckling of functionally graded graphene platelet-reinforced composite(GPLRC)beams on a nonlinear elastic foundation under the combined effect of axial forces and temperature field is investigated under clamped boundary conditions.Based on the Hamilton's principle,the nonlinear governing equations of beams are established by using the first-order shear deformation beam theory and von Kármán-type nonlinear strain-displacement relationship.The three equations are simplified into two nonlinear equations about deflection and rotation,which are transformed into a series of perturbation equations by a two-step perturbation technique,and the asymptotic solutions are derived step by step to obtain the expressions of the thermal postbuckling temperature under the clamped boundary conditions at both ends.Through the parameter analysis,the effects of the graphene platelet(GPLs)distribution pattern,geometry and size,weight fraction,elastic foundation coefficient and axial force on thermal postbuckling temperature are explored.The calculation results show that:increasing axial tension,increasing elastic foundation stiffness,and adding more GPL near the top and bottom improve the performance against thermal postbuckling;a nonlinear Winkler elastic foundation changes the thermal postbuckling equilibrium path.
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