The flexibility of functionally graded material plates subjected to uniform loads

Chung, Yen-Ling; Chen, Wei‐Ting

doi:10.2140/jomms.2007.2.63

Cited by 8 publications

(6 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Additionally, Chung and Chi [9] proposed a sigmoid FGM (S-FGM), which was composed of two kinds of power-law functions, and then a new type of volume fraction is to define. Chung and Chen [10] applied a Fourier series expansion to the P-and S-FGM plates with uniform load. Oumrane et al [11] investigated the Al/Al 2 O 3 S-FGM thick beams, and studied the stresses dependent on the volume fraction index.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of homogenized effective properties for FGM panels in aero-thermal environments

Lee

Kim

2015

Composite Structures

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Evaluation of homogenized effective properties for FGM panels in aero-thermal environments

Lee

Kim

2015

Composite Structures

View full text Add to dashboard Cite

“…They studied the effects of material properties on the stress field through the thickness. Chung and Che [11] analyzed the FGM rectangular plates simply supported with medium thickness subjected to linear temperature change in thickness direction. They assumed the Young's modulus and Poisson's ratio of the FG plates to remain constant throughout the entire plate.…”

mentioning

confidence: 99%

Homogenization Technique for Non-Linear Free Vibrations Analysis of FGM Rectangular Plates

Boukhzer

Bikri

Benamar

2014

AMR

View full text Add to dashboard Cite

In the present study, the problem of geometrically nonlinear free vibrations of functionally graded rectangular plates (FGRP) is studied. A homogenization technique has been developed to reduce the FGRP problem under consideration to that of isotropic homogeneous rectangular plate. The material properties of the functionally graded composites examined herein are assumed to be graded in the thickness direction of the plate and estimated through the rule of mixture. The proposed theoretical model is based on the classical plate theory and the Von Karman relationships, and the amplitude equation is derived in the form of a set of non-linear algebraic equation using Hamilton’s principle and a multimode approach. The fundamental nonlinear frequency parameters and the bending stress are then calculated using the iterative and explicit methods of solution to show the effect of the vibration amplitudes and the material distributions. The results obtained in this study are found to be in a good agreement with the published ones dealing with the problem of large vibration of functionally graded plates.

show abstract

“…Notably, if the origin of the z-axis of the FGM plates is located on the neutral surface, one can obtain B 11 ¼ 0 and then eliminate stretching-bending coupling in FGM plates, indicated by Chung and Chen [32,33]. Subsequently, the condition of B 11 ¼ 0 further provides…”

Section: Series Solution Of Simply-supported Fgm Plates Under Thermal Loadingmentioning

confidence: 98%

Thermoelastic closed-form solutions of FGM plates subjected to temperature change in longitudinal and thickness directions

Chung

2021

Meccanica

Self Cite

View full text Add to dashboard Cite

An closed-form solution of simply supported FGM plates under thermal loads is developed based on medium-thick plate assumption. Further to assume constant Poisson's ratio and thermal expansion coefficient, the closed-form solutions of the FGM plates with through-the-thickness Young's modulus under temperature change in x-and z-directions are evaluated, expressed in terms of the thermal axial force and thermal bending moment. The closed-form solutions confirmed by finite element analysis give a complete insight into the thermal-mechanical behavior of FGM plates. Hence, the deflection, strain, stress, axial force, and bending moment of the FGM plate under thermal loads in axial and thickness directions are discussed. Results show that the use of FGM makes the maximum stress from the top or bottom surface move to the inner portion of the FGM plate, and significantly reduces the maximum stress of the plates. Moreover, although the FGM plate is subjected to thermal load in the thickness direction, the deflection of the FGM plate can be zero if properly choosing the steep material gradation from the obtained closedform solution.

show abstract

The flexibility of functionally graded material plates subjected to uniform loads

Cited by 8 publications

References 25 publications

Evaluation of homogenized effective properties for FGM panels in aero-thermal environments

Evaluation of homogenized effective properties for FGM panels in aero-thermal environments

Homogenization Technique for Non-Linear Free Vibrations Analysis of FGM Rectangular Plates

Thermoelastic closed-form solutions of FGM plates subjected to temperature change in longitudinal and thickness directions

Contact Info

Product

Resources

About