Thermal stability of eccentrically stiffened FGM plate on elastic foundation based on Reddy's third-order shear deformation plate theory

2016 ◽  
Vol 39 (7) ◽  
pp. 772-794 ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Pham Hong Cong ◽  
Vu Dinh Quang
Keyword(s):  
Thermal Stability ◽  
Shear Deformation ◽  
Elastic Foundation ◽  
Plate Theory ◽  
Third Order ◽  
Shear Deformation Plate Theory ◽  
Plate On Elastic Foundation ◽  
Thermal Stability Of

Nonlinear thermo-mechanical buckling of higher-order shear deformable porous functionally graded material plates reinforced by orthogonal and/or oblique stiffeners

2019 ◽  
Vol 233 (17) ◽  
pp. 6177-6196 ◽  
Author(s):  
Vu Hoai Nam ◽  
Nguyen Thi Phuong ◽  
Dang Thuy Dong ◽  
Nguyen Thoi Trung ◽  
Nguyen Van Tue
Keyword(s):  
Shear Deformation ◽  
Elastic Foundation ◽  
Functionally Graded Material ◽  
Thermal Environment ◽  
Plate Theory ◽  
Higher Order ◽  
Functionally Graded ◽  
Shear Deformation Plate Theory ◽  
Graded Material ◽  
Post Buckling

In this paper, an analytical approach for nonlinear buckling and post-buckling behavior of stiffened porous functionally graded plate rested on Pasternak's elastic foundation under mechanical load in thermal environment is presented. The orthogonal and/or oblique stiffeners are attached to the surface of plate and are included in the calculation by improving the Lekhnitskii's smeared stiffener technique in the framework of higher-order shear deformation plate theory. The complex equilibrium and stability equations are established based on the Reddy's higher-order shear deformation plate theory and taken into account the geometrical nonlinearity of von Kármán. The solution forms of displacements satisfying the different boundary conditions are chosen, the stress function method and the Galerkin procedure are used to solve the problem. The good agreements of the present analytical solution are validated by making the comparisons of the present results with other results. In addition, the effects of porosity distribution, stiffener, volume fraction index, thermal environment, elastic foundation… on the critical buckling load and post-buckling response of porous functionally graded material plates are numerically investigated.

Analysis of bi-directional functionally graded plates by FEM and a new third-order shear deformation plate theory

2017 ◽  
Vol 119 ◽  
pp. 687-699 ◽  
Author(s):  
Thom Van Do ◽  
Dinh Kien Nguyen ◽  
Nguyen Dinh Duc ◽  
Duc Hong Doan ◽  
Tinh Quoc Bui
Keyword(s):  
Shear Deformation ◽  
Plate Theory ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Third Order ◽  
Shear Deformation Plate Theory

On the Singularity Induced by Boundary Conditions in a Third-Order Thick Plate Theory

2002 ◽  
Vol 69 (6) ◽  
pp. 800-810 ◽  
Author(s):  
C. S. Huang
Keyword(s):  
Boundary Conditions ◽  
Shear Deformation ◽  
Thick Plate ◽  
Plate Theory ◽  
Vertex Angle ◽  
Singular Behavior ◽  
Third Order ◽  
Characteristic Equations ◽  
Shear Deformation Plate Theory ◽  
Comparison Results

This paper thoroughly examines the singularity of stress resultants of the form r−ξFθ for 0<ξ⩽1 as r→0 (Williams-type singularity) at the vertex of an isotropic thick plate; the singularity is caused by homogeneous boundary conditions around the vertex. An eigenfunction expansion is applied to derive the first known asymptotic solution for displacement components, from the equilibrium equations of Reddy’s third-order shear deformation plate theory. The characteristic equations for determining the singularities of stress resultants are presented for ten sets of boundary conditions. These characteristic equations are independent of the thickness of the plate, Young’s modulus, and shear modulus, but some do depend on Poisson’s ratio. The singularity orders of stress resultants for various boundary conditions are expressed in graphic form as a function of the vertex angle. The characteristic equations obtained herein are compared with those from classic plate theory and first-order shear deformation plate theory. Comparison results indicate that different plate theories yield different singular behavior for stress resultants. Only the vertex with simply supported radial edges (S(I)_S(I) boundary condition) exhibits the same singular behavior according to all these three plate theories.

Nonlinear Vibration of the Cantilever FGM Plate Based on the Third-order Shear Deformation Plate Theory

2010 ◽  
Author(s):  
Y. X. Hao ◽  
W. Zhang ◽  
Jane W. Z. Lu ◽  
Andrew Y. T. Leung ◽  
Vai Pan Iu ◽  
...  
Keyword(s):  
Nonlinear Vibration ◽  
Shear Deformation ◽  
Plate Theory ◽  
Third Order ◽  
The Third ◽  
Shear Deformation Plate Theory
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