Flexure Analysis of Functionally Graded Plates Using {2,2}-Refined Zigzag Theory

This study investigates the flexure analysis of functionally graded (FG) plates using {2,2}-refined zigzag plate theory which considers transverse normal deformation along the thickness of plates. This element eliminates the use of the shear correction factors. The FG plate is composed of silicon carbide (SiC) and aluminum (Al) varying through the thickness of the plate. The volume fractions of the material constituents in the FG plate were functionally tailored based on a power-law. The effective material properties of the plate were evaluated by using the Mori-Tanaka homogenization method. The accuracy of the present approach was demonstrated by considering a simply supported FG plate under distributed sinusoidal load. The influence of the through-thickness material variation on the stress and displacement distributions was investigated. It was observed that the material variation through the thickness played a major role on the stress and displacement levels whilst the influence of the material variation was minor on the stress and displacement profiles.

Geliştirilmiş Zigzag Teorisi Kullanarak Fonksiyonel Kademelendirmiş Plakların Eğilme Analizleri

Bu çalışma, plakların kalınlığı boyunca normal şekil değiştirmesini dikkate alan {2,2}-geliştirilmiş zigzag plak teorisini kullanarak fonksiyonel olarak derecelendirilmiş (FG) plakların eğilme analizini incelemektedir. Bu eleman kayma düzeltme faktörleri gerektirmez. Fonksiyonel kademelendirilmiş plak, kalınlığı boyunca değişen silisyum karbür (SiC) ve alüminyumdan (Al) oluşmaktadır. Fonksiyonel kademelendirilmiş plakın malzeme bileşenlerinin hacim oranları, bir güç yasasına göre işlevsel olarak uyarlanmıştır. Plakın etkili malzeme özellikleri Mori-Tanaka homojenizasyon metodu kullanılarak belirlenmiştir. Mevcut yaklaşımın doğruluğu, sinüzoidal yayılı yük altında basitçe desteklenen bir fonksiyonel kademelendirilmiş plak göz önüne alınarak gösterilmiştir. Kalınlıktaki malzeme değişiminin gerilme ve yer değiştirme dağılımlarına etkisi araştırıldı. Kalınlıktaki malzeme değişiminin, gerilme ve yer değiştirme seviyeleri üzerinde önemli bir rol oynadığı, malzeme değişiminin etkisinin ise gerilme ve yer değiştirme profilleri üzerinde küçük olduğu gözlenmiştir.

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