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2 Journal of Theoretical and Applied Mechanics

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Mechanical buckling of functionally graded polyethylene/clay nanocomposites columns based on the Engesser-Timoshenko beam theory

Yas M. H., Khorramabadi M. K.

Journal of Theoretical and Applied Mechanics

2018

Vol. 56 nr 3

701--712

This paper deals with mechanical buckling of polyethylene/clay nanocomposite beams of functionally graded and uniformly distributed of nanoclay subjected to axial compressive load with simply supported conditions at both ends. The Young moduli of functionally graded and uniformly distributed nanocomposites are calculated using a genetic algorithm procedure and then compared with experimental results. The formulation is modiﬁed to include the eﬀect of nanoparticles weight fractions in the calculation of the Young modulus for uniform distribution. Also, it is modiﬁed to take into account the Young modulus as a function of the thickness coordinate. The displacement ﬁeld of the beam is assumed based on the Engesser-Timoshenko beam theory. Applying the Hamilton principle, governing equations are derived. The inﬂuence of nanoparticles on the buckling load of the beam is presented. To investigate the accuracy of the present analysis, a compression study with the experimental results is carried out.

Preparation with modeling and theoretical predictions of mechanical properties of functionally graded polyethylene/clay nanocomposites

Yas M. H., Khorramabadi M. K.

Journal of Theoretical and Applied Mechanics

2017

Vol. 55 nr 2

583—593

This paper presents preparation with modeling and theoretical predictions of mechanical properties of compatibilized functionally graded and uniform distribution polyethylene/modified montmorillonite nanocomposites manufactured by solution and melt mixing techniques. The morphology is studied by Scanning Electron Microscopy (SEM) and comparisons are made between two techniques. Young’s modulus of nanocomposites for functionally graded and uniform distributions is calculated using a genetic algorithm and is then compared with the results of other theoretical prediction models mentioned in the literature as well as experimental results. It is found that the melt mixing technique is the preferred preparation method, and the results obtained from the theoretical predictions of genetic algorithm procedure are in good agreement with the experimental ones.