Composite FG plates with different internal cutouts: Adaptive IGA buckling analysis without trimmed surfaces

2021 ◽  
Vol 259 ◽  
pp. 113392
Author(s):  
Jiankang Zhang ◽  
Tiantang Yu ◽  
Tinh Quoc Bui
Author(s):  
M Mohammadi ◽  
A R Saidi ◽  
E Jomehzadeh

In this article, a novel analytical method for decoupling the coupled stability equations of functionally graded (FG) rectangular plates is introduced. Based on the Mindlin plate theory, the governing stability equations that are coupled in terms of displacement components are derived. Introducing four new functions, the coupled stability equations are converted into two independent equations. The obtained equations have been solved for buckling analysis of rectangular plates with simply-supported two edges and arbitrary boundary conditions along the other edges (Levy boundary conditions). The critical buckling loads are presented for different loading conditions, various thickness to side and aspect ratios, some powers of FG materials, and various boundary conditions. The presented results for buckling of moderately thick FG plates with two simply-supported edges are reported for the first time.


Author(s):  
Husam Al Qablan ◽  
Hazim M. Dwairi ◽  
Omar Al Hattamleh ◽  
Samer Rabab'ah

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 951-955
Author(s):  
Hoon Cheol Park ◽  
Chahngmin Cho ◽  
Younho Choi

2019 ◽  
Vol 6 (1) ◽  
pp. 68-76 ◽  
Author(s):  
Subrat Kumar Jena ◽  
S. Chakraverty

AbstractIn this paper, two computationally efficient techniques viz. Differential Quadrature Method (DQM) and Differential Transformation Method (DTM) have been used for buckling analysis of Euler-Bernoulli nanobeam incorporation with the nonlocal theory of Eringen. Complete procedures of both the methods along with their mathematical formulations are discussed, and MATLAB codes have been developed for both the methods to handle the boundary conditions. Various classical boundary conditions such as SS, CS, and CC have been considered for investigation. A comparative study for the convergence of DQM and DTM approaches are carried out, and the obtained results are also illustrated to demonstrate the effects of the nonlocal parameter, aspect ratio (L/h) and the boundary condition on the critical buckling load parameter.


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