Bending analysis of sandwich beams with FGM core resting on elastic foundation using FBT

In this paper, bending analysis of sandwich beams with functionally graded materials (FGM) core resting on Winkler foundation are investigated using first order shear deformation beam theory (FBT). Material properties of the FGM layer change in the thickness direction according to power-law distributions. The governing equations and the related boundary conditions are derived using the principal of the minimum total potential energy. The Navier-type solution is used for simply-supported boundary conditions, and exact formulas are proposed for bending. The method is validated by comparing numerical results with the results obtained in the literature. Good agreement is observed. Numerical results are presented to investigate the influences the different material distributions and foundation stiffness on the bending behavior of sandwich beams with FGM core.

کلیدواژه ها:

Beam ، Bending ، FGM ، Winkler