Abstract
A two-node beam element based on enhanced Timoshenko beam theory with three unknowns is developed for static and buckling behaviors of functionally graded beams. The model considers a quadratic variation of shear strain through the depth, and satisfies zero-shear strain at the top and bottom surfaces of the beam. The concept of a physical neutral axis is introduced to avoid stretching-bending phenomenon. The elementary matrices are derived utilizing the minimum potential energy. The accuracy and performance of the present model are verified through a series of examples. Furthermore, the effect of different parameters on behaviors of beams is discussed.
Published Version
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