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Axisymmetric buckling of saturated circular porous-cellular plate based on first-order shear deformation theory

We studied the mechanical equilibrium and stability of the circular poroelastic plate using first-order shear deformation and Biot theories. We considered the saturated and unsaturated pores media within three types of distribution include poro/nonlinear nonsymmetric with shear modulus, poro/nonlinear symmetric with shear modulus, and poro/monotonous with shear modulus. According to our results, an increase of the pore size, porosity, and plate thickness result in stability decrement. The plate with a symmetrical distribution of pores exhibited more stable behaviour than the other cases. Likewise, decreasing the pore fluid compressibility cause to stability increment of the plate. Finally, our results are validated by comparison to data from the literature.