Nonlinear analysis of stability for functionally graded plates under mechanical and thermal loads

2010 ◽  
Vol 92 (5) ◽  
pp. 1184-1191 ◽  
Author(s):  
Hoang Van Tung ◽  
Nguyen Dinh Duc
Keyword(s):  
Nonlinear Analysis ◽  
Functionally Graded ◽  
Thermal Loads ◽  
Functionally Graded Plates ◽  
Analysis Of Stability

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.

scholarly journals Nonlinear analysis of stability for imperfect eccentrically stiffened FGM plates under mechanical and thermal loads based on FSDT. Part 1: Governing equations establishment

2015 ◽  
Vol 37 (3) ◽  
pp. 187-204
Author(s):  
Dao Van Dung ◽  
Nguyen Thi Nga
Keyword(s):  
Shear Deformation ◽  
Plate Theory ◽  
Functionally Graded ◽  
Buckling Load ◽  
Thermal Loads ◽  
First Order ◽  
Shear Deformation Plate Theory ◽  
Graded Material ◽  
Post Buckling ◽  
Analysis Of Stability

In this paper, the buckling and post-buckling behaviors of eccentrically  stiffened functionally graded material (ES-FGM) plates on elastic  foundations subjected to in-plane compressive loads or thermal loads are  investigated by an analytical solution. The novelty of this work is that FGM  plates are reinforced by FGM stiffeners and the temperature, stiffener,  foundation are considered. The first-order shear deformation  plate theory is used. The thermal elements of plate and stiffeners in  fundamental equations are introduced. Theoretical formulations based on the  smeared stiffeners technique and the first-order shear deformation plate  theory, are derived. The analytical expressions to determine the static  critical buckling load and post-buckling load-deflection curves are  obtained.

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