A powerful numerical approach for the axisymmetric bending response of shear deformable two-directional functionally graded (2D-FG) plates with variable thickness

Noori, Ahmad Reshad; Temel, Beytullah

doi:10.1177/09544062211010837

Cited by 5 publications

(4 citation statements)

References 41 publications

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“…FD sandviç dairesel plakların eğilme davranışını idare eden denklemler, kalın plak teorisine dayalı yaklaşıma göre elde edilmiştir. Dairesel plaklar için yer değiştirmeler aşağıdaki gibi ifade edilir (Eşitlik 2 ve 3) [32].…”

Section: Materyal Ve Yöntemunclassified

“…Sandviç dairesel plaklara ait şekil değiştirme ve gerilme arasındaki ilişkiler Eşitlik 9-11'de verilmektedir [32].…”

Section: Materyal Ve Yöntemunclassified

“…Burada, 𝑤(𝑟) düşey yer değiştirme, 𝑢(𝑟) radyal yer değiştirme ve 𝜒(𝑟) ise dönme olup, şekil değiştirmeler Eşitlik 4-8'de verilmektedir[32].Şekil 1. FD sandviç dairesel plağın (a) geometrik parametreleri (b) malzeme değişimi Ç.Ü.…”

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Tamamlayıcı Fonksiyonlar Yöntemi ile Fonksiyonel Derecelenmiş Sandviç Dairesel Plakların Eğilme Analizi

Noori

2022

Çukurova Üniversitesi Mühendislik Fakültesi Dergisi

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In this study, the flexural response of sandwich circular plates with Functionally Graded (FG) material is investigated theoretically. The core of the sandwich circular plates, whose material properties change throughout their thickness, is considered to be isotropic homogeneous and the face sheets are assumed to be FG. The governing equations of the static behavior of the considered plates are obtained in canonical form with the aid of the minimum total energy principle based on the Kirchhoff–Love and Mindlin–Reissner plate theories. For the numerical solutions of these equations, the Complementary Functions Method (CFM) is implemented. In this research, the effects of material gradient index, radius-thickness ratios, shear deformation effects and different boundary conditions on the bending behavior of FG sandwich circular plates are parametrically investigated. The efficient applicability of the CFM to this type of problem and the accuracy of the suggested method are demonstrated by comparing the results obtained with the existing literature.

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Section: Materyal Ve Yöntemunclassified

“…Sandviç dairesel plaklara ait şekil değiştirme ve gerilme arasındaki ilişkiler Eşitlik 9-11'de verilmektedir [32].…”

Section: Materyal Ve Yöntemunclassified

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Tamamlayıcı Fonksiyonlar Yöntemi ile Fonksiyonel Derecelenmiş Sandviç Dairesel Plakların Eğilme Analizi

Noori

2022

Çukurova Üniversitesi Mühendislik Fakültesi Dergisi

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“…When the literature is examined, it is seen that there is a large amount of papers on the static, stability and dynamic responses of FG beams, 28–44 plates and shells. 45–73 Curved beams or arches made of homogeneous materials are frequently encountered in various engineering applications. 74–82 However, studies on the structural analysis of the FG arches are limited.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches

Atacan,

Yükseler

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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Snap-through analysis of thin, functionally graded (FG), fixed, circular shallow arches subjected to uniformly distributed vertical load is examined in this paper. The modulus of elasticity varies gradually along with the normal to the axis of the arch in alliance with the power law form. The solution of the geometrically nonlinear problem is carried out by using a numerical scheme accounting for the moderately large deflections theory based on small strain and moderate rotation in the von Kármán sense. The combined effect of the parameters that is, the power law index, the ratio of the modulus of elasticity and the modified slenderness ratio on the support reactions, the snap-buckling and post-buckling behaviors of the fixed circular shallow arches are examined. It is found that the lowest buckling load is considerably affected by the variation of these parameters. In addition, the effects of the material distribution on internal forces, deformed configurations and rotation angle are presented at various stages of the deformation.

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Static Response of Functionally Graded Porous Circular Plates via Finite Element Method

Doori,

Noori,

Etemadi

2024

Arab J Sci Eng

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The main purpose of this paper is to investigate the axisymmetric bending response of functionally graded porous (FGP) circular plates. The material properties are changed continuously in the thickness direction of the plate. Three distinct porosity distributions uniform, symmetric and monolithic are employed. The effect of porosity on the axisymmetric bending analysis of circular plates is examined parametrically. In this study, clamped and roller supports which commonly serve to achieve ideal boundary conditions in numerous engineering applications are used. The finite element method is employed for numerical analysis. The principal of the potential energy is used to obtain the governing equations. To generate the model of the FGP circular plates, an eight-node quadratic quadrilateral element with two degrees of freedom on each node is utilized. The results of this study are confirmed by the existing published literature. A good agreement between the results of the presented model and the previous literature has been observed. The results of the present study show that plate deflection increases with the increase of the porosity coefficient and the ratio of radius to thickness of circular plates. By increasing the porosity coefficient, the displacement values of the plates made of uniform porosity distribution is effected more than those of other porosity distributions.

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A powerful numerical approach for the axisymmetric bending response of shear deformable two-directional functionally graded (2D-FG) plates with variable thickness

Cited by 5 publications

References 41 publications

Tamamlayıcı Fonksiyonlar Yöntemi ile Fonksiyonel Derecelenmiş Sandviç Dairesel Plakların Eğilme Analizi

Tamamlayıcı Fonksiyonlar Yöntemi ile Fonksiyonel Derecelenmiş Sandviç Dairesel Plakların Eğilme Analizi

Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches

Static Response of Functionally Graded Porous Circular Plates via Finite Element Method

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