Nonlinear buckling and post-buckling of eccentrically oblique stiffened sandwich functionally graded double curved shallow shells

2019 ◽  
Vol 90 ◽  
pp. 169-180 ◽  
Author(s):  
Tran Quoc Quan ◽  
Nguyen Huy Cuong ◽  
Nguyen Dinh Duc
Keyword(s):  
Functionally Graded ◽  
Nonlinear Buckling ◽  
Shallow Shells ◽  
Post Buckling

scholarly journals Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundations

2014 ◽  
Vol 36 (4) ◽  
pp. 291-306 ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Vu Thi Thuy Anh ◽  
Dao Huy Bich
Keyword(s):  
Mechanical Load ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Spherical Shells ◽  
Nonlinear Buckling ◽  
Geometrical Properties ◽  
Elastic Foundations ◽  
Approximate Analytical Solutions ◽  
Post Buckling ◽  
The Stability

This paper presents an analytical approach to investigate the nonlinear buckling and post-buckling of thin annular spherical shells made of functionally graded materials (FGM) and subjected to mechanical load and resting on Winkler-Pasternak type elastic foundations. Material properties are graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium and compatibility equations for annular spherical shells are derived by using the classical thin shell theory in terms of the shell deflection and the stress function. Approximate analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to obtain closed-form of load-deflection paths. An analysis is carried out to show the effects of material and geometrical properties and combination of loads on the stability of the annular spherical shells.

An analytical approach on nonlinear mechanical and thermal post-buckling of nanocomposite double-curved shallow shells reinforced by carbon nanotubes

2018 ◽  
Vol 233 (11) ◽  
pp. 3888-3903 ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Pham Dinh Nguyen ◽  
Nguyen Huy Cuong ◽  
Nguyen Van Sy ◽  
Nguyen Dinh Khoa
Keyword(s):  
Carbon Nanotubes ◽  
Amorphous Polymer ◽  
Geometrical Nonlinearity ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Shallow Shells ◽  
Elastic Foundations ◽  
Nonlinear Mechanical ◽  
Post Buckling ◽  
The Galerkin Method

This work presents the nonlinear mechanical and thermal post-buckling of nanocomposite double-curved shallow shells reinforced by single-walled carbon nanotubes resting on elastic foundations based on the higher order shear deformation theory with geometrical nonlinearity in von Karman–Donnell sense. The composite shells are made of various amorphous polymer matrices: poly(methyl methacrylate) (PMMA) and poly{(m-phenylenevinylene)-co-[(2,5-dioctoxy-p-phenylene) vinylene]} (PmPV). The governing equations are solved by the Galerkin method and Airy's stress function to achieve mechanical and thermal post-buckling behaviors of nanocomposite double-curved shallow shells. Various types of distributions of carbon nanotubes, both uniform distributions, and functionally graded distributions are examined. The material properties of nanocomposite double-curved shallow shells are assumed to be temperature dependent. Detailed parametric studies are carried out on the effect of various types of distribution and volume fractions of carbon nanotubes, temperature increments, elastic foundations, edge to radius and edge to thickness ratios on the nonlinear mechanical and thermal post-buckling of nanocomposite double-curved shallow shells reinforced by CNTs.

scholarly journals Nonlinear buckling and post-buckling of eccentrically stiffened functionally graded cylindrical shells surrounded by an elastic medium based on the first order shear deformation theory

2013 ◽  
Vol 35 (4) ◽  
pp. 285-298 ◽  
Author(s):  
Dao Van Dung ◽  
Nguyen Thi Nga
Keyword(s):  
Elastic Medium ◽  
Material Properties ◽  
Deformation Theory ◽  
Volume Fraction ◽  
Cylindrical Shells ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Nonlinear Buckling ◽  
First Order ◽  
Post Buckling

In this paper, the nonlinear buckling and post-buckling of an eccentrically stiffened cylindrical shell made of functionally graded materials, surrounded by an elastic medium and subjected to mechanical compressive loads and external pressures are investigated by an analytical approach. The cylindrical shells are reinforced by longitudinal and circumferential stiffeners. The material properties of cylindrical shells are graded in the thickness direction according to a volume fraction power-law distribution. The nonlinear stability equations for stiffened cylindrical shells are derived by using the first order shear deformation theory and smeared stiffeners technique. Closed-form expressions for determining the buckling load and load-deflection curves are obtained. The effectiveness of stiffeners in enhancing the stability of cylindrical shells is shown. The effects of volume fraction indexes, material properties, geometrical parameters and foundation parameters are analyzed in detail.

Electro-thermo-mechanical post-buckling of piezoelectric functionally graded cylindrical shells

2021 ◽  
Author(s):  
Shengbo Zhu ◽  
Zhenzhen Tong ◽  
Jiabin Sun ◽  
Qingdong Li ◽  
Zhenhuan Zhou ◽  
...  
Keyword(s):  
Cylindrical Shells ◽  
Functionally Graded ◽  
Post Buckling

Thermal Post-Buckling Analysis of Functionally Graded Composite Plates with Nonlinear Aerodynamic Forces

2010 ◽  
Vol 123-125 ◽  
pp. 280-283
Author(s):  
Chang Yull Lee ◽  
Ji Hwan Kim
Keyword(s):  
Material Properties ◽  
Numerical Solutions ◽  
Virtual Work ◽  
Shear Deformation Theory ◽  
Composite Plates ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Governing Equations ◽  
Functionally Graded Composite ◽  
Post Buckling

The post-buckling of the functionally graded composite plate under thermal environment with aerodynamic loading is studied. The structural model has three layers with ceramic, FGM and metal, respectively. The outer layers of the sandwich plate are different homogeneous and isotropic material properties for ceramic and metal. Whereas the core is FGM layer, material properties vary continuously from one interface to the other in the thickness direction according to a simple power law distribution in terms of the volume fractions. Governing equations are derived by using the principle of virtual work and numerical solutions are solved through a finite element method. The first-order shear deformation theory and von-Karman strain-displacement relations are based to derive governing equations of the plate. Aerodynamic effects are dealt by adopting nonlinear third-order piston theory for structural and aerodynamic nonlinearity. The Newton-Raphson iterative method applied for solving the nonlinear equations of the thermal post-buckling analysis

Sign in / Sign up

Export Citation Format

Share Document