Bending, Free Vibration, and Buckling Analysis of Functionally Graded Porous Micro-Plates Using a General Third-Order Plate Theory

Coskun, Semsi; Kim, Jinseok; Toutanji, Houssam

doi:10.3390/jcs3010015

Cited by 52 publications

(20 citation statements)

References 51 publications

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“…The present work considers three types of porosity distributions through the thickness, the first one being proposed by Kim et al [45] and applied in several studies, such as those developed by Coskun et al [46] and by Li and Zheng [22]. The last two were inspired in the uniform distribution mentioned by Du et al [47], whose studies focus on open-cell metal foams rectangular plates considering different porosity distributions through the thickness.…”

Section: Porosity Distributionsmentioning

confidence: 99%

Porous Functionally Graded Plates: An Assessment of the Influence of Shear Correction Factor on Static Behavior

Mota

Loja

Barbosa

et al. 2020

MCA

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The known multifunctional characteristic of porous graded materials makes them very attractive in a number of diversified application fields, which simultaneously poses the need to deepen research efforts in this broad field. The study of functionally graded porous materials is a research topic of interest, particularly concerning the modeling of porosity distributions and the corresponding estimations of their material properties—in both real situations and from a material modeling perspective. This work aims to assess the influence of different porosity distribution approaches on the shear correction factor, used in the context of the first-order shear deformation theory, which in turn may introduce significant effects in a structure’s behavior. To this purpose, we evaluated porous functionally graded plates with varying composition through their thickness. The bending behavior of these plates was studied using the finite element method with two quadrilateral plate element models. Verification studies were performed to assess the representativeness of the developed and implemented models, namely, considering an alternative higher-order model also employed for this specific purpose. Comparative analyses were developed to assess how porosity distributions influence the shear correction factor, and ultimately the static behavior, of the plates.

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Section: Porosity Distributionsmentioning

confidence: 99%

Porous Functionally Graded Plates: An Assessment of the Influence of Shear Correction Factor on Static Behavior

Mota

Loja

Barbosa

et al. 2020

MCA

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“…Let us consider an FGP plate resting on EFTIM, as shown in Figure 1. e FGP materials with a variation of two 2 Mathematical Problems in Engineering constituents and three different distributions of porosity through-thickness are presented as follows [25,26]:…”

Section: Functionally Graded Porous Materials Plates On Elastic Foundamentioning

confidence: 99%

“…Kim et al [25] investigated bending, vibration, and buckling of the FGP microplates using a modified couples stress based on the analytical method. Coskun et al [26] presented analytical solutions to analyze the bending, vibration, and buckling of the FG microplates based on the third-order shear deformation theory (TSDT). Chen et al [27] investigated the static bending and buckling of the FGP beams by using the Timoshenko beam theory.…”

Section: Introductionmentioning

confidence: 99%

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An Edge-Based Smoothed Finite Element for Free Vibration Analysis of Functionally Graded Porous (FGP) Plates on Elastic Foundation Taking into Mass (EFTIM)

Tran

Pham

Nguyen-Thoi

2020

Mathematical Problems in Engineering

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In this paper, free vibration analysis of the functionally graded porous (FGP) plates on the elastic foundation taking into mass (EFTIM) is presented. The fundamental equations of the FGP plate are derived using Hamilton’s principle. The mixed interpolation of the tensorial components (MITC) approach and the edge-based smoothed finite element method (ES-FEM) is employed to avoid the shear locking as well as to improve the accuracy for the triangular element. The EFTIM is a foundation model based on the two-parameter Winkler–Pasternak model but added a mass parameter of foundation. Materials of the plate are FGP with a power-law distribution and maximum porosity distributions in the forms of cosine functions. Some numerical examples are examined to demonstrate the accuracy and reliability of the proposed method in comparison with those available in the literature.

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“…These versatile materials have several advantages including reduced in-plane and transverse stresses, low residual stresses, high thermal resistance, low thermal conductivity, and high fracture toughness. Additionally and contrarily to classical laminated composites, FGMs do not exhibit severe interlaminar stresses because of the smooth variation of material composition [4].…”

Section: Introductionmentioning

confidence: 99%

Mechanical Behavior of Porous Functionally Graded Nanocomposite Materials

Mota

Loja

2019

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Materials used in biomedical applications need to cope with a wide set of requisites, one of them being their structural adequacy to a specific application. Thus, it is important to understand their behavior under specified standard cases, namely concerning their structural performance. This objective constituted the focus of the present study, where nanocomposite functionally graded materials integrating different porosity distributions were analyzed. To this purpose a set of numerical simulations based on the finite element method, reproducing American Society for Testing and Materials (ASTM) tensile and bending tests were considered. The results obtained show a good performance of the models implemented through their preliminary verification. It is also possible to conclude that carbon nanotubes and porosity distributions provide different and opposite effects in the context of the nanocomposite materials analyzed.

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Bending, Free Vibration, and Buckling Analysis of Functionally Graded Porous Micro-Plates Using a General Third-Order Plate Theory

Cited by 52 publications

References 51 publications

Porous Functionally Graded Plates: An Assessment of the Influence of Shear Correction Factor on Static Behavior

Porous Functionally Graded Plates: An Assessment of the Influence of Shear Correction Factor on Static Behavior

An Edge-Based Smoothed Finite Element for Free Vibration Analysis of Functionally Graded Porous (FGP) Plates on Elastic Foundation Taking into Mass (EFTIM)

Mechanical Behavior of Porous Functionally Graded Nanocomposite Materials

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