FONKSİYONEL DERECELENDİRİLMİŞ (FD) İLERİ KOMPOZİT PLAKLARIN STATİK ANALİZİ

Süreksiz Fourier serileri yöntemiyle fonksiyonel olarak derecelendirilmiş (FD) kompozit plakların statik analizi analitik bir çözüm tekniğiyle gerçekleştirilmiştir. Kısmi türevli yüksek dereceden lineer diferansiyel denklemlerin oluşturduğu sistem, ankastre ve basit mesnetli sınır şartları için süreksiz Fourier serileri yöntemiyle çözülmüştür. Plakın mekanik özelliklerinin kalınlık boyunca, bileşenlerin hacim oranları ölçüsünde üstel bir şekilde dağıldığı kabulü yapılmıştır. Analitik çözüm, sabit yayılı yük için, ticari bir sonlu elemanlar programı kullanılarak karşılaştırılmıştır. Sonuçların sonlu elemanlar çözümüyle elde edilenlerle yakın olduğu görülmüştür.

STATIC ANALYSIS OF FUNCTIONALLY GRADED (FGM) COMPOSITE PLATES

Static analysis of functionally graded (FGM) plates based on a higher order shear deformation theory is performed using an analytical solution technique. The boundary-discontinuous double Fourier series approach is used to solve a system of highly coupled linear partial differential equations with the mixed type clamped and simply supported boundary conditions prescribed at the edges. The mechanical properties of the plate are assumed to vary in the thickness direction according to a power-law distribution in terms of the volume fractions of the constituents. Analytical results are compared with finite element counterparts using commercially available software under uniformly distributed load. Present results are in good agreement with the finite element counterparts.

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