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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 81
PROCEEDINGS OF THE TENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: B.H.V. Topping
Paper 53
Buckling of an Isotropic Porous Cylindrical Shell M. Malinowski+ and K. Magnucki*
+Institute of Mechanical Engineering and Machine Operation, University of Zielona Góra, Poland
Full Bibliographic Reference for this paper
M. Malinowski, K. Magnucki, "Buckling of an Isotropic Porous Cylindrical Shell", in B.H.V. Topping, (Editor), "Proceedings of the Tenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 53, 2005. doi:10.4203/ccp.81.53
Keywords: porous material, buckling, axial compression, critical load.
Summary
This paper considers an isotropic porous shell loaded by axial compression
shown in Figure 53.1. The effects of varying porous material
and geometric parameters of the cylindrical
shell, on the elastic buckling load are studied. The shell is made of an isotropic
porous material which varies only across the thickness of the shell wall. Banhart [1]
reviewed the possibilities of manufacturing metal foams or other porous metallic
structures as well as ways for characterizing the properties of cellular metals. In the
present paper the porous shell is a generalization of a sandwich construction.
A general overview of modelling and stability of sandwich structures is presented in survey paper [2]. The material model used in the current paper is as described in references [3,4]. The basic assumption of porosity varying in the transverse direction is defined as
where ![]() ![]() ![]() ![]() ![]() ![]() ![]()
A non-linear hypothesis of the deformation of a plane cross section of the shell is
assumed. The geometric and physical relationships (according to Hooke's law) are
linear. The above stated problem gives the system of differential equations and
boundary conditions written in a cylindrical coordinates system. In a second step,
basic equations of elastic buckling of an isotropic porous shell are obtained. They
are formulated on the grounds of the principle of stationary total potential
energy of the compressed shell,
The FEM critical parameter values
References
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