Analytical Modeling of Buckling Behavior of Porous FGM Cylindrical Shell Embedded within an Elastic Foundation

Timesli, Abdelaziz

doi:10.35378/gujs.860783

Cited by 12 publications

(11 citation statements)

References 33 publications

(38 reference statements)

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“…Other results are presented in the appendices, these results show that laminated FGM plates give the natural frequencies lower than those of simple FGM plates, the difference between them increases according to the number of modes. The objective in the future is to apply this approach on other type of shells, such as FGM cylindrical Shells [15,19]. In addition, we will try to develop meshless models [20][21][22][23][24][25][26][27] based on TSDT theory for the analysis of FGM plates.…”

Section: Discussionmentioning

confidence: 99%

“…Tran et al (2021) [14] used ES-MITC3 element and prediction of artificial neural network to examine free vibrations of P-FGM plates in the thermal environment embedded in elastic foundations. [15] investigated analytical modeling of buckling behavior of porous FGM cylindrical shell embedded within an elastic foundation uisng Donnell shell theory. In the work of Bourihane et al (2020) [16], the free vibration and forced nonlinear dynamic behavior of plate material (P-FGM) are analyzed using TSDT.…”

Section: Introductionmentioning

confidence: 99%

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TSDT theory for free vibration of functionally graded plates with various material properties

Allah¹,

Belaasilia²,

Timesli³

et al. 2021

Math. Model. Comput.

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In this work, an implicit algorithm is used for analyzing the free dynamic behavior of Functionally Graded Material (FGM) plates. The Third order Shear Deformation Theory (TSDT) is used to develop the proposed model. In this contribution, the formulation is written without any homogenization technique as the rule of mixture. The Hamilton principle is used to establish the resulting equations of motion. For spatial discretization based on Finite Element Method (FEM), a quadratic element with four and eight nodes is adopted using seven degrees of freedom per node. An implicit algorithm is used for solving the obtained problem. To study the accuracy and the performance of the proposed approach, we present comparisons with literature and laminate composite modeling results for vibration natural frequencies. Otherwise, we examine the influence of the exponent of the volume fraction which reacts the plates "P-FGM" and "S-FGM". In addition, we study the influence of the thickness on "E-FGM" plates.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

TSDT theory for free vibration of functionally graded plates with various material properties

Allah¹,

Belaasilia²,

Timesli³

et al. 2021

Math. Model. Comput.

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“…Вследствие этого можно сделать вывод, что предлагаемая модель проста, эффективна и дает корректную оценку статического поведения наноструктур с учетом различных параметров. В дальнейшем будет рассмотрено применение данной модели для других типов материалов [61][62][63][64][65][66][67][68][69][70][71][72].…”

Section: заключениеunclassified

Bending and buckling responses of functionally graded nanoplates embedded in an elastic medium

et al. 2023

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В работе исследованы изгиб и потеря тепловой и механической устойчивости функционально-градиентных нанопластин в упругой среде. Модель построена на основе уточненной интегральной теории пластин с четырьмя неизвестными в рамках нелокальной теории упругости Эрингена. Свойства материала пластины считаются непрерывно изменяющимися по толщине. Упругая среда моделируется как двухпараметрическое упругое основание Пастернака. На основе принципа виртуальных перемещений получены уравнения равновесия. Выполнено сравнение полученных результатов для свободно покоящихся функционально-градиентных нанопластин с литературными данными. Проведены параметрические исследования влияния параметра неоднородности материала, нелокального параметра, жесткости упругой среды и соотношения размеров функционально-градиентных нанопластин на их поведение.Ключевые слова: изгиб, потеря устойчивости, функционально-градиентная нанопластина, нелокальная теория, уточненная интегральная теория пластин с четырьмя неизвестными

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“…Their properties are smooth functions of one or more coordinates. One of the most efficient materials of this type is the functionally graded material (FGM) [3][4][5][6][7]. The concept of FGM is developed originally in Japan in year 1984.…”

Section: Introductionmentioning

confidence: 99%

Lengthwise Fracture Analysis of Inhomogeneous Viscoelastic Cantilever Beam Subjected to Sinusoidal Strains

RİZOV

2024

Gazi University Journal of Science

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This paper describes an analysis of lengthwise fracture in a viscoelastic inhomogeneous cantilever beam configuration under strain that is a sinusoidal function of time. The mechanical behaviour of the beam is treated by a viscoelastic model having two linear springs and a linear dashpot. The beam is continuously inhomogeneous along its thickness. Therefore, the modulii of elasticity of the springs and the coefficient of viscosity of the dashpot vary smoothly along the thickness of the beam. The compliance method is applied to derive a solution of the strain energy release rate for the lengthwise crack in the beam structure. The J-integral is used for verification. The stress-strain-time dependence of the viscoelastic model is applied for describing the behavior of the beam when obtaining solutions of the strain energy release rate and the J-integral. Solutions are derived for both positive and negative angle of rotation of the lower crack arm free end (when the angle is positive, the upper crack arm is free of stresses, while at negative angle both crack arms are loaded). The effects of various factors including the sign of the angle of rotation on the strain energy release rate are analyzed.

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Analytical Modeling of Buckling Behavior of Porous FGM Cylindrical Shell Embedded within an Elastic Foundation

Cited by 12 publications

References 33 publications

TSDT theory for free vibration of functionally graded plates with various material properties

TSDT theory for free vibration of functionally graded plates with various material properties

Bending and buckling responses of functionally graded nanoplates embedded in an elastic medium

Lengthwise Fracture Analysis of Inhomogeneous Viscoelastic Cantilever Beam Subjected to Sinusoidal Strains

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