Pre- and post-buckling analysis of functionally graded beams subjected to statically mechanical and thermal loads


1 Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran

2 Department of Mechanical Engineering, The University of Guilan, P.O.Box 3756, Rasht, Iran


In this paper, the pre- and post-buckling behavior of beams made of functionally graded materials (FGMs), a mixture of ceramic and metal, under separately mechanical and thermal loading is studied. To this end, the finite element formulation is established based on the Euler-Bernoulli beam theory. The effects of geometrical nonlinearity and imperfection are taken into account. The arc-length algorithm is employed to obtain the secondary path beyond the bifurcation point. The influences of material index, imperfection, geometrical parameters and different boundary conditions of simply-supported, clamped-simply and clamped-clamped on the post-buckling characteristics of FGM beams are thoroughly investigated. The results generated are compared with the existing data in the literature and good agreements are achieved. The investigation undertaken here proves the essentiality of performing post-buckling analysis FGM beams especially with simply-supported end conditions.