Nonlinear Thermomechanical Behavior of Functionally Graded Material Cylindrical/Hyperbolic/Elliptical Shell Panel With Temperature-Dependent and Temperature-Independent Properties

2016 ◽  
Vol 138 (6) ◽  
Author(s):  
V. R. Kar ◽  
S. K. Panda

In this article, the nonlinear bending behavior of functionally graded (FG) curved (cylindrical, hyperbolic, and elliptical) panel is investigated under combined thermomechanical loading. In this study, two temperature fields (uniform and linear) across the thickness of shell panel are considered. The panel model is developed mathematically using higher-order shear deformation midplane kinematics with Green–Lagrange-type nonlinear strains. The individual constituents of functionally graded material (FGM) are assumed to be temperature-dependent (TD) and graded continuously using the power-law distribution. The effective material properties of FG shell panel are evaluated based on Voigt's micromechanical model. The governing equation of the panel structure is obtained using the variational principle and discretized through suitable finite-element (FE) steps. A direct iterative method is employed to compute the desired responses of the curved panel structure. The efficacy of the present nonlinear model has been shown by comparing the responses with those available published literature and commercial FE tool ansys. Finally, the model has been extended to examine the effect of various parameters (volume fractions, temperature, thickness ratios, curvature ratios, aspect ratios, and support conditions) on the nonlinear bending behavior of curved FG panel by solving wide variety of numerical illustrations.

2018 ◽  
Vol 22 (3) ◽  
pp. 658-688 ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Ngo Duc Tuan ◽  
Pham Hong Cong ◽  
Ngo Dinh Dat ◽  
Nguyen Dinh Khoa

Based on the first order shear deformation shell theory, this paper presents an analysis of the nonlinear dynamic response and vibration of imperfect eccentrically stiffened functionally graded material (ES-FGM) cylindrical panels subjected to mechanical, thermal, and blast loads resting on elastic foundations. The material properties are assumed to be temperature-dependent and graded in the thickness direction according to simple power-law distribution in terms of the volume fractions of the constituents. Both functionally graded material cylindrical panels and stiffeners having temperature-dependent properties are deformed under temperature, simultaneously. Numerical results for the dynamic response of the imperfect ES-FGM cylindrical panels with two cases of boundary conditions are obtained by the Galerkin method and fourth-order Runge–Kutta method. The results show the effects of geometrical parameters, material properties, imperfections, mechanical and blast loads, temperature, elastic foundations and boundary conditions on the nonlinear dynamic response of the imperfect ES-FGM cylindrical panels. The obtained numerical results are validated by comparing with other results reported in the open literature.


2008 ◽  
Vol 575-578 ◽  
pp. 1020-1024 ◽  
Author(s):  
Lian Sheng Ma ◽  
Chun Zhi Deng ◽  
Zhi Ying Ou

Axisymmetric nonlinear bending of the functionally graded circular plates is investigated in the present work. The material properties of plates are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents, and to be temperature-dependent. Based on the classical nonlinear plate theory, the governing equations for the problem are derived, and then a shooting method is employed to numerically solve the equations. Effects of material constant, temperature- dependent properties and boundary conditions on the nonlinear bending behavior of the FGM plate are discussed in details.


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