Boundary element method applied to the bending analysis of thin functionally graded plates

Damanpack, Ali Reza; Bodaghi, Mahdi; Ghassemi, Hassan; Sayehbani, Mesbah

doi:10.1590/s1679-78252013000300006

Cited by 20 publications

(7 citation statements)

References 24 publications

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“…The neutral surface based-CPT was adopted by Bodaghi and Saidi [55] to study the buckling of FG plates resting on an elastic foundation under non-uniform compression. Damanpack [56] used the neutral surface based-CPT model and the boundary element method to predict the bending behavior of FG plates. KowalMichalska and Mania [57] also adopted the neutral surface based-CPT model to study the static and dynamic buckling of FG plates subjected to a simultaneous action of one directional compression and thermal loadings.…”

Section: Esl Theoriesmentioning

confidence: 99%

A review of theories for the modeling and analysis of functionally graded plates and shells

Thai

Kim

2015

Composite Structures

404

103

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Section: Esl Theoriesmentioning

confidence: 99%

A review of theories for the modeling and analysis of functionally graded plates and shells

Thai

Kim

2015

Composite Structures

404

103

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“…ermal buckling of FGM plates was investigated by Ghannadpour et al [3], in which, the finite strip method based on CPT was used. Damanpack and his colleagues [4] used the boundary element method based on CPT to investigate static bending of thin FGM plates. Nevertheless, CPT theory accommodates to analyze thin plates only because it does not consider the effects of shear deformation.…”

Section: Introductionmentioning

confidence: 99%

On the Development of Refined Plate Theory for Static Bending Behavior of Functionally Graded Plates

Thom

Vinh

Nguyen

2020

Mathematical Problems in Engineering

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This work gives information about the development of refined plate theory to study the static bending behavior of functionally graded material (FGM) plates. The significant advantage of our proposed theory is that only one unknown variable exists in its displacement formula and governing equation. To illustrate the accuracy and effectiveness of this theory, an analytical approach based on the Navier solution is employed to obtain the solution for static bending of simply supported FGM plates. A good agreement for static bending of FGM plates with other literature results has been instituted. This work also investigates the deflection, in-plane normal, and shear stresses of sinusoidally loaded FGM rectangular plates with four simply supported edges. The influence of some parameters on the bending performance of FGM plates is also carefully considered.

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“…To date, a wide range of research has been carried out on static and dynamic analysis of functionally graded structures which mostly have used the beam, plate and shell theories (Damanpack et al 2013;Kiani and Eslami 2013;Taj 2013). For thin plates, the classical plate theory (CPT) is used to analyze functionally graded (FG) plate structures.…”

Section: Introductionmentioning

confidence: 99%

Dynamic and static analysis of FGM skew plates with 3D elasticity based graded finite element modeling

Asemi

Salami

Salehi

et al. 2014

Lat. Am. j. solids struct.

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The present article deals with static and dynamic behavior of functionally graded skew plates based on the three-dimensional theory of elasticity. On the basis of the principle of minimum potential energy and the Rayleigh Ritz method, the equations of motion are derived in conjunction with the graded finite element approach. Solution of the resulted system of equations in time domain is carried out via Newmark's time integration method. Calculations are applied for fully clamped boundary condition. In the present paper, two different sets of distributions for material properties are considered. For the static analysis, material properties are considered to vary through the thickness direction according to an exponential law. In the case of dynamic analysis, variations of the volume fractions through the thickness are assumed to obey a power law function. Thus, the effective material properties at each point are determined by the Mori-Tanaka scheme. In case of dynamic analysis, the results are obtained for uniform step loadings. The effects of material gradient index and skew angle on displacement components and stress response are studied. Results of present formulations are verified by available results of a functionally graded rectangular plate for different boundary conditions and also compared with result of a homogenous skew plate by commercial FEM software.

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Boundary element method applied to the bending analysis of thin functionally graded plates

Cited by 20 publications

References 24 publications

A review of theories for the modeling and analysis of functionally graded plates and shells

A review of theories for the modeling and analysis of functionally graded plates and shells

On the Development of Refined Plate Theory for Static Bending Behavior of Functionally Graded Plates

Dynamic and static analysis of FGM skew plates with 3D elasticity based graded finite element modeling

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