Stress analysis of functionally graded saturated porous rotating thick truncated cone

In this article, static response of functionally graded saturated porous rotating truncated cone is investigated for the first time. Three different patterns are considered for porosity distribution along with the thickness of the cone, which are symmetric nonlinear, nonlinear asymmetric and uniform distributions. The relationship between stress and strain is based on the Biot constitutive law instead of simple Hook's law. 2D axisymmetric elasticity theory and finite element method based on Rayleigh-Ritz energy formulation are used to model the problem. The effect of various parameters such as: rotational velocity, porosity and Skempton coefficients, semi vertex angle of the cone, different boundary conditions and different distribution of porosity on displacements and stresses of the cone has been investigated.