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Critical state of an isotropic porous cylindrical panel

Malinowski M.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 4

955-965

This paper presents a study of elastic buckling of a porous cylindrical panel subjected to axial compression or pressure. The material of the panel is made of an isotropic porous metal. Porosity of the metal varies across the thickness of the panel with its mechanical properties varying accordingly. The modulus of elasticity is minimal on the middle surface of the cylindrical panel and takes maximal values at its top and bottom surfaces. A nonlinear hypothesis of deformation of a plane cross section of the shell is assumed. Based on the theorem of minimum total potential energy the system of differential equations and suitable boundary conditions are obtained. The system is solved analytically and critical load and pressure are determined. Results of the solution, i.e., The critical load and critical pressure of selected shells by means of the FEM (ANSYS) are verified.