Isogeometric analysis of functionally graded plates using a refined plate theory

Nguyen‐Xuan, H.; Tran, Loc V.; Thai, Chien H.; Kulasegaram, Sivakumar; Bordas, Stéphane Pierre Alain

doi:10.1016/j.compositesb.2014.04.001

Cited by 154 publications

(48 citation statements)

References 70 publications

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“…Cinefra et al [8] investigated the response of FGM shell structure under mechanical load. Nguyen et al [9][10][11][12] studied the behaviors of FGM plates using numerical methods. Ferreira et al [13,14] performed static and dynamic analysis of FGM plate based on higher-order shear and normal deformable plate theory using the meshless local Petrov-Galerkin method.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach

Tran

Lý

Lee

et al. 2015

International Journal of Mechanical Sciences

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Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach, International Journal of Mechanical Sciences, http://dx.doi.org/10.1016/j.ijmecsci. 2015.03.003 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

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Section: Introductionmentioning

confidence: 99%

Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach

Tran

Lý

Lee

et al. 2015

International Journal of Mechanical Sciences

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“…Tran et al. [29,30,42] studied the static bending, buckling load and also natural frequency of intact FGM plates and cracked ones [43] based on HSDT and then extended their previous work for thermal buckling analysis with various types of temperature distribution [44].…”

mentioning

confidence: 99%

“…were adopted. On the other hand, HSDT models [29][30][31], which take into account higher-order variations of the in-plane displacements through thickness, were proposed. Consequently, they enable to really describe shear strain/stress distributions with the non-linear paths and traction-free boundary condition at the top and bottom surfaces of the plate.…”

mentioning

confidence: 99%

Isogeometric analysis for nonlinear thermomechanical stability of functionally graded plates

Tran

Phung‐Van

Lee

et al. 2016

Composite Structures

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“…In the past few years, IGA has been successfully applied to various fields. Particular relevancy to this paper is the study of structural vibrations and the development of shell and plate isogeometric elements [37][38][39][40][41][42][43][44][45]. So far, there are few papers related to nonlinear analysis using IGA for composite plates based on FSDT [46,47], Euler-Bernoulli beams [48], shells [49] and so on.…”

Section: Introductionmentioning

confidence: 99%

An efficient computational approach for control of nonlinear transient responses of smart piezoelectric composite plates

Phung‐Van¹,

Nguyen²,

Tran³

et al. 2015

International Journal of Non-Linear Mechanics

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. ABSTRACTAn efficient computational approach based on a generalized unconstrained approach in conjunction with isogeometric analysis (IGA) are proposed for dynamic control of smart piezoelectric composite plates. In composite plates, the mechanical displacement field is approximated according to the proposal model using isogeometric elements and the nonlinear transient formulation for plates is formed in the total Lagrange approach based on the von Kármán strains and solved by Newmark time integration. Through the thickness of each piezoelectric layer, the electric potential is assumed linearly.For active control of the piezoelectric composite plates, a close-loop system is used. An optimization procedure using genetic algorithm (GA) is considered to search optimal design for actuator input voltages. Various numerical examples are investigated to show high accuracy and reliability of the proposed method.

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Isogeometric analysis of functionally graded plates using a refined plate theory

Cited by 154 publications

References 70 publications

Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach

Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach

Isogeometric analysis for nonlinear thermomechanical stability of functionally graded plates

An efficient computational approach for control of nonlinear transient responses of smart piezoelectric composite plates

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