An improved moving Kriging meshfree method for plate analysis using a refined plate theory

2016 ◽  
Vol 176 ◽  
pp. 34-49 ◽  
Author(s):  
Chien H. Thai ◽  
Tan N. Nguyen ◽  
T. Rabczuk ◽  
H. Nguyen-Xuan
Keyword(s):  
Plate Theory ◽  
Meshfree Method ◽  
Refined Plate Theory ◽  
Plate Analysis

Refined plate theory and its variants

AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 137-146 ◽  
Author(s):  
R. P. Shimpi
Keyword(s):  
Plate Theory ◽  
Refined Plate Theory

scholarly journals Non-Local Buckling Analysis of Functionally Graded Nanoporous Metal Foam Nanoplates

Coatings ◽  
2018 ◽  
Vol 8 (11) ◽  
pp. 389 ◽  
Author(s):  
Yanqing Wang ◽  
Zhiyuan Zhang
Keyword(s):  
Metal Foam ◽  
Plate Theory ◽  
Constitutive Relations ◽  
Equations Of Motion ◽  
Local Buckling ◽  
Functionally Graded ◽  
Small Scale ◽  
Refined Plate Theory ◽  
Nanoporous Metal ◽  
Non Local

In this study, the buckling of functionally graded (FG) nanoporous metal foam nanoplates is investigated by combining the refined plate theory with the non-local elasticity theory. The refined plate theory takes into account transverse shear strains which vary quadratically through the thickness without considering the shear correction factor. Based on Eringen’s non-local differential constitutive relations, the equations of motion are derived from Hamilton’s principle. The analytical solutions for the buckling of FG nanoporous metal foam nanoplates are obtained via Navier’s method. Moreover, the effects of porosity distributions, porosity coefficient, small scale parameter, axial compression ratio, mode number, aspect ratio and length-to-thickness ratio on the buckling loads are discussed. In order to verify the validity of present analysis, the analytical results have been compared with other previous studies.

Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory

2014 ◽  
Vol 34 ◽  
pp. 24-34 ◽  
Author(s):  
Mohamed Zidi ◽  
Abdelouahed Tounsi ◽  
Mohammed Sid Ahmed Houari ◽  
El Abbas Adda Bedia ◽  
O. Anwar Bég
Keyword(s):  
Mechanical Loading ◽  
Plate Theory ◽  
Refined Plate Theory ◽  
Bending Analysis
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