Transient Response Analysis for a Circular Sandwich Plate with an FGM Central Disk

Dai, H. L.; Dai, Ting; Cheng, Songpu

doi:10.1017/jmech.2015.7

Cited by 7 publications

(2 citation statements)

References 33 publications

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“…FGMs are microscopically inhomogeneous with the material properties varying continuously from one surface to the other obeying certain functions. Over the past few decades, a considerable number of studies [27][28][29][30] corresponding to the FGM circular plates assumed the through-the-thickness FGM using either a power-law or exponential function. However, due to the phenomenon of the uncoupled stretching-bending problem of the through-the-radius FGM plate, the study of the radial FGM plate has been growing.…”

Section: Introductionmentioning

confidence: 99%

Analytical Thermal Analysis of Radially Functionally Graded Circular Plates with Coating or Undercoating under Transverse and Radial Temperature Distributions

Chung

Lin

2023

Applied Sciences

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This study aims to provide analytical solutions for circular plates coated or undercoated with functionally graded materials (FGMs) having Young’s modulus functionality through the radius. The circular plates are subjected to thermal loads in radial and thickness directions. Because of the uncoupled stretching–bending problem of the radially FGM circular plate, the bending equilibrium equations in terms of displacements of the FGM-coated or -undercoated circular plates with Young’s modulus based on the power–law function were established individually. General solutions for the homogeneous portion or FGM ring of the radially FGM-coated or -undercoated circular plate were developed separately. Subsequently, analytical thermal solutions for the radially FGM-coated or -undercoated circular plate were evaluated by solving the simultaneous boundary and continuity conditions equations. The analytical results were validated by comparing them with finite element solutions. When degenerated, they coincided with those of the homogeneous circular plate in the literature, enhancing the obtained solutions’ reliability. These analytical solutions provide valuable insights into the plates’ responses and expand the understanding of their mechanical behaviors under thermal loads. Furthermore, the effects of the FGM thickness, the material index, and the thermal loading conditions on the mechanical behaviors were under investigation. This parameter study offers valuable perspectives into the influence of these factors on the plate’s structural response and aids in the optimization and design of FGM-coated or -undercoated circular plates.

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Section: Introductionmentioning

confidence: 99%

Analytical Thermal Analysis of Radially Functionally Graded Circular Plates with Coating or Undercoating under Transverse and Radial Temperature Distributions

Chung

Lin

2023

Applied Sciences

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“…Based on the first-order shear deformation theory and geometric nonlinear relationship, Dai et al. [23] analyzed transient response of a circular sandwich plate with a FGM central disk and two piezoelectric layers. Bending analysis of sandwich circular plate with functionally grade core layer subjected to thermo-mechanical load was carried out by Alibeigloo [24] using generalized differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Exact bending solutions of circular sandwich plates with functionally graded material-undercoated layer subjected to axisymmetric distributed loads

Chung

2020

Jnl of Sandwich Structures & Materials

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In this study, the closed-form bending solutions of simply supported circular sandwich plates subjected to linearly or power-law, or partial uniform distributed loads are derived. The circular sandwich plate contains two homogeneous substrates and a functionally graded material-undercoated layer added between two homogeneous substrates. The Poisson’s ratio of the circular sandwich plates is assumed to be uniform. The Young’s moduli in the undercoated functionally graded material layer vary continuously throughout the thickness according to the volume fraction of constituents based on power-law, sigmoid, or exponential function. To solve the problem, first, the in-plane and bending problems of circular sandwich plate are uncoupled by properly choosing the origin of the z-axis such that the parameter B11=0. Then the fundamental bending solution of a simply supported circular sandwich plate under axisymmetric ring load is found based on the classical plate theory. Finally, by superposing the fundamental solutions, the closed-form bending solutions of circular sandwich plates under arbitrarily axisymmetric transverse loads are determined. Results reveal that the closed-form solutions agree very well with the finite element calculation and, when degenerated, coincide with the available solutions for isotropic homogenous plates in the literature. Moreover, the exact solutions of the circular sandwich plates subjected to axisymmetric transverse loads exhibit the relation of σi=zE(z)(1−v2)C11Mi true(i=r,θtrue) for the stresses σi and bending moments Mi. The effects of the material gradient, the material distribution, and the thickness of the undercoated-functionally graded material layer on the mechanical behaviors of the circular sandwich plates are under investigation in detail.

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Analysis of a rotating FGMEE circular disk with variable thickness under thermal environment

Dai

2017

Applied Mathematical Modelling

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Transient Response Analysis for a Circular Sandwich Plate with an FGM Central Disk

Cited by 7 publications

References 33 publications

Analytical Thermal Analysis of Radially Functionally Graded Circular Plates with Coating or Undercoating under Transverse and Radial Temperature Distributions

Analytical Thermal Analysis of Radially Functionally Graded Circular Plates with Coating or Undercoating under Transverse and Radial Temperature Distributions

Exact bending solutions of circular sandwich plates with functionally graded material-undercoated layer subjected to axisymmetric distributed loads

Analysis of a rotating FGMEE circular disk with variable thickness under thermal environment

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