Buckling and Static Analyses of Functionally Graded Saturated Porous Thick Beam Resting on Elastic Foundation Based on Higher Order Beam Theory

In this paper, static response and buckling analysis of functionally graded saturated porous beam resting on Winkler elastic foundation is investigated. The beam is modeled using higher-order shear deformation theory in conjunction with Biot constitutive law which has not been surveyed so far. Three different patterns are considered for porosity distribution along the thickness of the beam: 1) poro/nonlinear non-symmetric distribution, 2) poro/nonlinear symmetric distribution and 3) poro/monotonous distribution. To obtain the governing equations, geometric stiffness matrix concept and finite element method is used. The effect of various parameters such as: 1) Stiffness of elastic foundation 2) Slender ratio 3) Porosity coefficient 4) Skempton coefficient 5) Porosity distributions and 6) Different boundary conditions has been investigated to draw practical conclusions.