Nonlinear thermomechanical stability of shear deformable FGM shallow spherical shells resting on elastic foundations with temperature dependent properties

2014 ◽  
Vol 114 ◽  
pp. 107-116 ◽  
Author(s):  
Hoang Van Tung
Keyword(s):  
Temperature Dependent ◽  
Spherical Shells ◽  
Elastic Foundations ◽  
Temperature Dependent Properties ◽  
Shear Deformable

Nonlinear stability of shear deformable eccentrically stiffened functionally graded plates on elastic foundations with temperature-dependent properties

2017 ◽  
Vol 24 (3) ◽  
pp. 455-469 ◽  
Author(s):  
Pham Hong Cong ◽  
Pham Thi Ngoc An ◽  
Nguyen Dinh Duc
Keyword(s):  
Nonlinear Stability ◽  
Geometrical Nonlinearity ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Temperature Dependent ◽  
Thick Plates ◽  
Geometrical Properties ◽  
Elastic Foundations ◽  
Moderately Thick Plates ◽  
Temperature Dependent Properties

AbstractThis article investigates the nonlinear stability of eccentrically stiffened moderately thick plates made of functionally graded materials (FGM) subjected to in-plane compressive, thermo-mechanical loads. The equilibrium and compatibility equations for the moderately thick plates are derived by using the first-order shear deformation theory of plates, taking into account both the geometrical nonlinearity in the von Karman sense and initial geometrical imperfections, temperature-dependent properties with Pasternak type elastic foundations. By applying the Galerkin method and using a stress function, the effects of material and geometrical properties, temperature-dependent material properties, elastic foundations, boundary conditions, and eccentric stiffeners on the buckling and post-buckling loading capacity of the eccentrically stiffened moderately thick FGM plates in thermal environments are analyzed and discussed.

Thermal postbuckling of shear deformable CNT-reinforced composite plates with tangentially restrained edges and temperature-dependent properties

2018 ◽  
Vol 33 (1) ◽  
pp. 97-124 ◽  
Author(s):  
Hoang Van Tung ◽  
Le Thi Nhu Trang
Keyword(s):  
Carbon Nanotubes ◽  
Thermal Loading ◽  
Volume Fraction ◽  
Effective Properties ◽  
Shear Deformation Theory ◽  
Composite Plates ◽  
Iteration Algorithm ◽  
Temperature Dependent ◽  
Elastic Foundations ◽  
Temperature Dependent Properties

Buckling and postbuckling behaviors of moderately thick composite plates reinforced by single-walled carbon nanotubes (SWCNTs), rested on elastic foundations and subjected to two types of thermal loading are investigated in this article. Carbon nanotubes (CNTs) are reinforced into isotropic polymer matrix according to functional rules in which volume fractions of constituents are graded in the thickness direction. Material properties of constituents are assumed to be temperature-dependent and effective properties of nanocomposite are estimated by extended rule of mixture. Formulations are based on first-order shear deformation theory taking von Karman nonlinearity, initial geometrical imperfection, tangential constraints of edges, and two-parameter elastic foundation into consideration. Approximate solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to derive nonlinear temperature–deflection relations from which buckling temperatures and postbuckling equilibrium paths are determined by an iteration algorithm. Novel findings of the present study are that deteriorative influences of temperature-dependent properties on the postbuckling behavior become more serious as plate edges are partially movable, CNT volume fraction is higher, elastic foundations are stiffer, plates are thicker, and/or temperature linearly changed across the thickness.

POSTBUCKLING OF PRESSURE-LOADED PIEZOLAMINATED CYLINDRICAL SHELLS WITH TEMPERATURE DEPENDENT PROPERTIES

2007 ◽  
Vol 07 (01) ◽  
pp. 1-22 ◽  
Author(s):  
HUI-SHEN SHEN ◽  
Y. XIANG
Keyword(s):  
Perturbation Technique ◽  
Cylindrical Shells ◽  
Piezoelectric Actuators ◽  
Control Voltage ◽  
Postbuckling Behavior ◽  
Temperature Dependent ◽  
Singular Perturbation Technique ◽  
Independent Case ◽  
Temperature Dependent Properties ◽  
Shear Deformable

A postbuckling analysis is presented for a shear deformable laminated cylindrical shell with piezoelectric actuators subjected to lateral or hydrostatic pressure combined with electric and thermal loads. The material properties are assumed to be dependent on the temperature. The governing equations are based on higher-order shear deformation shell theory with a von Kármán-Donnell-type of kinematic nonlinearity. The nonlinear prebuckling deformations and initial geometric imperfections of the shell are both taken into account. A singular perturbation technique is employed to determine the buckling pressure and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling behavior of pressure-loaded, perfect and imperfect, cross-ply laminated cylindrical shells with fully covered or embedded piezoelectric actuators under different sets of thermal and electric loading conditions. The results reveal that the temperature rise has a significant effect on the buckling pressure and postbuckling behavior of piezolaminated cylindrical shells when the temperature-dependent properties are taken into account, but it only has a very small effect under temperature-independent case. In contrast, the control voltage has a small effect on the buckling pressure and postbuckling behavior of piezolaminated cylindrical shells.

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