Three-dimensional stress and free vibration analyses of functionally graded plates with circular holes by the use of the graded finite element method

نویسندگانK. Asemi, H. Ashrafi, M. Shariyat
نشریهJournal of Applied Mechanics and Technical Physics
ارائه به نام دانشگاهبلی
شماره صفحات690–700
شماره مجلد57
نوع مقالهOriginal Research
تاریخ انتشار2016
رتبه نشریهISI
نوع نشریهالکترونیکی
کشور محل چاپایالات متحدهٔ امریکا

چکیده مقاله

Static and free vibration analyses of plates with circular holes are performed based on the three-dimensional theory of elasticity. The plates are made of a functionally graded material (FGM), and the volume fractions of the constituent materials vary continuously across the plate. The effective properties of the FGM plate are estimated by using the Mori–Tanaka homogenization method. A graded finite element method based on the Rayleigh–Ritz energy formulation is used to solve the problem. Effects of different volume fractions of the materials and hole sizes on the behavior of FGM plates under uniaxial tension are investigated. Natural frequencies of a fully clamped FGM plate with a circular cutout are derived. The results obtained are compared with available experimental data.

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