Advanced mixed theories for bending analysis of functionally graded plates

Brischetto, Salvatore; Carrera, Erasmo

doi:10.1016/j.compstruc.2008.04.004

Cited by 105 publications

(56 citation statements)

References 21 publications

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“…Varying the thickness coordinate z from −h/2 to h/2, Young's modulus changes with continuity, as illustrated in Figure 3, where the exponential κ varies from 1 to 10. The global thickness is h = 0.1 m. A detailed investigation was made in for PVD models and in [Brischetto and Carrera 2008] for RMVT models. The FSDT model is compared in Table 2 with some advanced ones (κ = 1), with the solution from [Zenkour 2006] (a generalized shear deformation model), and with a discrete layer quasi-three-dimensional solution previously presented in .…”

Section: Resultsmentioning

confidence: 99%

“…A detailed description of the CUF extended to FGMs is reported in for the PVD (only the displacements are considered as primary variables) and in [Brischetto and Carrera 2008] for the RMVT (both displacements and transverse shear/normal stresses as primary variables). Further details regarding the assembly procedure (expansion in z for the primary variables and material properties, multilayer assembly procedure) and the governing equations can be found in these same two papers.…”

Section: Extension Of Cuf To Fgmsmentioning

confidence: 99%

“…Applications were only made for singlelayered FGM structures. In the present paper, considering sandwich plates with an FGM core, the models obtained in and [Brischetto and Carrera 2008] are validated for multilayer FGM plates. For material properties, only spatial dependence has been considered.…”

Section: Introductionmentioning

confidence: 99%

“…This extension was made for the classical advanced models in and for the mixed ones in [Brischetto and Carrera 2008]. In the first case, the principle of virtual displacements (PVD) was used, while in the second paper, Reissner's mixed variational theorem (RMVT) was employed to model both displacements and transverse shear/ normal stresses.…”

Section: Introductionmentioning

confidence: 99%

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Classical and mixed advanced models for sandwich plates embedding functionally graded cores

Brischetto

2009

J. Mech. Mater. Struct.

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This paper analyzes the bending response of several sandwich plates with a functionally graded core, using advanced equivalent single layer (ESL) and layerwise (LW) models with linear to fourth-order expansion in the thickness direction. The functionally graded properties of the core have been approximated by means of Legendre polynomials. The ESL and LW theories have been developed according to the principle of virtual displacements and Reissner's mixed variational theorem; in the latter case, both displacements and transverse shear/normal stresses have been assumed as primary variables. Closedform solutions for simply supported sandwich plates loaded by a transverse distribution of harmonic pressure are discussed. Various assessments have been made of the proposed theories with respect to the available results. Our obtained results show that, depending on the chosen functionally graded core, the use of advanced models may turn out to be mandatory with respect to classical theories (for example, first-order shear deformation theory). It has been shown that the use of a core in functionally graded material can offer some advantages with respect to the classical cores that have been widely employed in open literature. A benchmark has been proposed which consists of a sandwich plate with two isotropic faces (ceramic and metallic) and various functionally graded cores. That benchmark could be useful in assessing future refined computational models.

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Section: Resultsmentioning

confidence: 99%

Section: Extension Of Cuf To Fgmsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Classical and mixed advanced models for sandwich plates embedding functionally graded cores

Brischetto

2009

J. Mech. Mater. Struct.

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“…Bu çalışmalar arasında, kapalı formda analitik çözümlerin büyük çoğunluğunu, özel olarak seçilmiş sınır koşullarının öncelikli olarak sağlandığı basit mesnetli sınır şartlarıyla modellenmiş Navier tipi çözümler oluşturmaktadır. Çözümlerde ağırlıklı olarak, efektif malzeme özelliklerinin genel olarak kalınlık boyunca üstel değiştiği kabulü yapılmıştır [2][3][4][5][6][7][8][9][10][11][12][13]. Analitik çözümlerin yanında, yarı-analitik ve analitik çözümler Pendhari vd.…”

Section: Gi̇ri̇ş (Introduction)unclassified

Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi

Öktem¹

2014

Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

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ÖZETSüreksiz 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.Anahtar Kelimeler: Fonksiyonel kompozit, statik analiz, analitik çözüm, Fourier metodu STATIC ANALYSIS OF FUNCTIONALLY GRADED (FGM) COMPOSITE PLATES ABSTRACTStatic 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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