Thermal buckling analysis of functionally graded annular plate with variable thickness

2021 ◽  
Vol 136 (12) ◽  
Author(s):  
Qingshan Wang ◽  
Ruihua Wang ◽  
Xianlei Guan ◽  
Wen Shao
Keyword(s):  
Variable Thickness ◽  
Annular Plate ◽  
Thermal Buckling ◽  
Buckling Analysis ◽  
Functionally Graded

scholarly journals An edge-based smoothed finite element for buckling analysis of functionally graded material variable-thickness plates

2021 ◽  
Author(s):  
Tran Trung Thanh ◽  
Tran Van Ke ◽  
Pham Quoc Hoa ◽  
Tran The Van ◽  
Nguyen Thoi Trung
Keyword(s):  
Finite Element ◽  
Variable Thickness ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Triangular Element ◽  
Stiffness Matrices ◽  
Strain Smoothing ◽  
Graded Material ◽  
Smoothed Finite Element Method ◽  
Edge Based

The paper aims to extend the ES-MITC3 element, which is an integration of the edge-based smoothed finite element method (ES-FEM) with the mixed interpolation of tensorial components technique for the three-node triangular element (MITC3 element), for the buckling analysis of the FGM variable-thickness plates subjected to mechanical loads. The proposed ES-MITC3 element is performed to eliminate the shear locking phenomenon and to enhance the accuracy of the existing MITC3 element. In the ES-MITC3 element, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains formed by two adjacent MITC3 triangular elements sharing the same edge. The numerical results demonstrated that the proposed method is reliable and more accurate than some other published solutions in the literature. The influences of some geometric parameters, material properties on the stability of FGM variable-thickness plates are examined in detail.

Buckling Analysis of Circular FGM Plate Having Variable Thickness Under Uniform Compression by Finite Element Method

2005 ◽  
Author(s):  
Abazar Shamekhi ◽  
Mohammad H. Naei
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variable Thickness ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Buckling Load ◽  
Thin Plates ◽  
Thickness Variation ◽  
Simply Supported ◽  
Element Method

This study presents the buckling analysis of radially-loaded circular plate with variable thickness made of functionally-graded material. The boundary conditions of the plate is either simply supported or clamped. The stability equations were obtained using energy method based on Love-Kichhoff hypothesis and Sander’s non-linear strain-displacement relation for thin plates. The finite element method is used to determine the critical buckling load. The results obtained show good agreement with known analytical and numerical data. The effects of thickness variation and Poisson’s ratio are investigated by calculating the buckling load. These effects are found not to be the same for simply supported and clamped plates.

scholarly journals Comparative thermal buckling analysis of functionally graded plate

2017 ◽  
Vol 21 (6 Part B) ◽  
pp. 2957-2969
Author(s):  
Dragan Cukanovic ◽  
Gordana Bogdanovic ◽  
Aleksandar Radakovic ◽  
Dragan Milosavljevic ◽  
Ljiljana Veljovic ◽  
...  
Keyword(s):  
Shear Deformation Theory ◽  
Thermal Buckling ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
Shape Functions ◽  
Power Law Distribution ◽  
Functionally Graded Plate ◽  
Different Types ◽  
Non Linear

A thermal buckling analysis of functionally graded thick rectangular plates accord?ing to von Karman non-linear theory is presented. The material properties of the functionally graded plate, except for the Poisson?s ratio, were assumed to be graded in the thickness direction, according to a power-law distribution, in terms of the volume fractions of the metal and ceramic constituents. Formulations of equilibrium and stability equations are derived using the high order shear deformation theory based on different types of shape functions. Analytical method for determination of the critical buckling temperature for uniform increase of temperature, linear and non-linear change of temperature across thickness of a plate is developed. Numeri?cal results were obtained in ?ATLAB software using combinations of symbolic and numeric values. The paper presents comparative results of critical buckling tempera?ture for different types of shape functions. The accuracy of the formulation presented is verified by comparing to results available from the literature.

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