Abstract
Estimation of displacements and stresses in functionally graded (FG) beams and plates are carried out using higher order shear and normal deformation theories (HOSNTs). Taylor’s series expansion is adopted to approximate primary displacements in the thickness direction. This leads to the reduction of three-dimensional (3D) problem to two-dimensional (2D) problem, which ultimately reduces the complexity, normally associated with 3D analysis. The expansions of primary displacements are considered in such a way that it accounts the effects of transverse shear and transverse normal stresses and strains. Governing equations of equilibrium are derived using the virtual work principle. Present results are validated with exact and other available solutions. Analytical formulation and solutions to the static analysis of simply supported functionally graded beams and plates based on higher order theories are presented in this paper.
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