Modeling and optimization of functionally graded plates under thermo-mechanical load using isogeometric analysis and adaptive hybrid evolutionary firefly algorithm

2017 ◽  
Vol 179 ◽  
pp. 89-106 ◽  
Author(s):  
Qui X. Lieu ◽  
Jaehong Lee
Keyword(s):  
Isogeometric Analysis ◽  
Firefly Algorithm ◽  
Mechanical Load ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Modeling And Optimization

scholarly journals A Non-Intrusive Stochastic Isogeometric Analysis of Functionally Graded Plates with Material Uncertainty

Axioms ◽  
2020 ◽  
Vol 9 (3) ◽  
pp. 92
Author(s):  
Shaima M. Dsouza ◽  
Tittu Mathew Varghese ◽  
P. R. Budarapu ◽  
S. Natarajan
Keyword(s):  
Zirconium Oxide ◽  
Isogeometric Analysis ◽  
Deformation Theory ◽  
Polynomial Chaos ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
B Splines ◽  
First Order ◽  
Graded Material

A non-intrusive approach coupled with non-uniform rational B-splines based isogeometric finite element method is proposed here. The developed methodology was employed to study the stochastic static bending and free vibration characteristics of functionally graded material plates with inhered material randomness. A first order shear deformation theory with an artificial shear correction factor was used for spatial discretization. The output randomness is represented by polynomial chaos expansion. The robustness and accuracy of the framework were demonstrated by comparing the results with Monte Carlo simulations. A systematic parametric study was carried out to bring out the sensitivity of the input randomness on the stochastic output response using Sobol’ indices. Functionally graded plates made up of Aluminium (Al) and Zirconium Oxide (ZrO2) were considered in all the numerical examples.

Geometrically nonlinear analysis of functionally graded plates using isogeometric analysis

2015 ◽  
Vol 32 (2) ◽  
pp. 519-558 ◽  
Author(s):  
Shuohui Yin ◽  
Tiantang Yu ◽  
Tinh Quoc Bui ◽  
Minh Ngoc Nguyen
Keyword(s):  
Nonlinear Analysis ◽  
Isogeometric Analysis ◽  
Volume Fraction ◽  
Functionally Graded ◽  
High Order ◽  
Basis Functions ◽  
Geometrically Nonlinear ◽  
Functionally Graded Plates ◽  
Geometrically Nonlinear Analysis ◽  
Content Type

Purpose – The purpose of this paper is to propose an efficient and accurate numerical model that employs isogeometric analysis (IGA) for the geometrically nonlinear analysis of functionally graded plates (FGPs). This model is utilized to investigate the effects of boundary conditions, gradient index, and geometric shape on the nonlinear responses of FGPs. Design/methodology/approach – A geometrically nonlinear analysis of thin and moderately thick functionally graded ceramic-metal plates based on IGA in conjunction with first-order shear deformation theory and von Kármán strains is presented. The displacement fields and geometric description are approximated with nonuniform rational B-splines (NURBS) basis functions. The Newton-Raphson iterative scheme is employed to solve the nonlinear equation system. Material properties are assumed to vary along the thickness direction with a power law distribution of the volume fraction of the constituents. Findings – The present model for analysis of the geometrically nonlinear behavior of thin and moderately thick FGPs exhibited high accuracy. The shear locking phenomenon is avoided without extra numerical efforts when cubic or high-order NURBS basis functions are utilized. Originality/value – This paper shows that IGA is particularly well suited for the geometrically nonlinear analysis of plates because of its exact geometrical modelling and high-order continuity.

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