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2016
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tom Vol. 20, nr 3
309--320
EN
The present paper deals with FEM modelling of Tennyson’s famous experiment: the buckling problem of axially compressed elastic cylindrical shells with small single circular cutouts. It is completed using ANSYS software package in geometrically linear and nonlinear formulations for three different loading schemes. Two of the loading schemes provide an upper and lower bounds for buckling loads. The third loading scheme corresponds to the experiment and gives an excellent agreement of numerical results with the experimental data. The influence of shell thickness on buckling load is studied in addition to common non–dimensional geometrical shell parameter. Decrease of a shell thickness about two times leads to decrease of buckling load parameter about 7 % in the studied range of cutouts. The efficiency of ANSYS software is proved for the buckling design of shells with highly non–homogeneous stress strain state.
EN
This current paper, which is the first part of two parts of a complete article, presents the theoretical and finite element formulation developed and proposed by the authors to obtain the stress concentration factors (SCFs) and the first ply failure (FPF) loads of composite laminated plates. The numerical studies are performed using a quadrilateral finite element of four nodes with thirty-two degrees of freedom. The present finite element was previously developed by the authors to study the bending and buckling of composite plates. The present finite element is a combination of two finite elements. The first one is a linear isoparametric membrane element, and the second one is a high-precision rectangular Hermitian element. In the second part of the paper, several examples will be considered to demonstrate and affirm the accuracy and the performance of the present element, as well as highlight the effect of some parameters on the stress distribution. The FPF strengths and their locations in laminated plates with and without holes are calculated by adapting the Hashin-Rotem, Tsai-Hill, and Tsai-Wu failure theories.
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