INVESTIGATING THERMAL EFFECTS IN NONLINEAR BUCKLING ANALYSIS OF MICRO BEAMS USING MODIFIED STRAIN GRADIENT THEORY

Abstract

In this paper, thermal effects in nonlinear buckling analysis of micro beams isinvestigated. Modified strain gradient theory with nonlinear von-Karman strain-displacementrelations and small scale parameters are used to derive the buckling behavior of micro beams. ThePoisson's effect is included and its significance is demonstrated. Buckling behavior for twodifferent cases: 1) immovable axial boundary condition 2) movable axial boundary condition, arestudied and for each one the results for hinged-hinged and clamped-clamped beams are presented.The analysis shows that modified strain gradient theory leads to a higher critical buckling load incomparison with the classical and couple- stress theories. The results are verified using previousrelated works.