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

[+] Author and Article Information
V. R. Kar

Department of Mechanical Engineering,
Raghu Engineering College,
Visakhapatnam 531162, Andhra Pradesh, India
e-mail: visheshkar@gmail.com

S. K. Panda

Department of Mechanical Engineering,
National Institute of Technology, Rourkela,
Rourkela 769008, Odisha, India
e-mail: pandask@nitrkl.ac.in

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received August 27, 2015; final manuscript received May 18, 2016; published online July 22, 2016. Assoc. Editor: Albert E. Segall.

J. Pressure Vessel Technol 138(6), 061202 (Jul 22, 2016) (13 pages) Paper No: PVT-15-1203; doi: 10.1115/1.4033701 History: Received August 27, 2015; Revised May 18, 2016

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.

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Fig. 1

Different shell panels (a) elliptical, (b) hyperbolic, and (c) cylindrical

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Fig. 2

A nine-node quadrilateral Lagrange isoparametric element

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Fig. 5

Comparison study of nondimensional central deflection of simply supported FG (Al/ZrO2) spherical panel (a/h = 20, n = 1) for different mechanical load parameters

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Fig. 4

A discretized FG shell panel with (5 × 5) mesh

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Fig. 3

Convergence behavior of nondimensional linear and nonlinear central deflection of simply supported FG (SUS304/Si3N4) flat panel under uniform transverse loading

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Fig. 7

Effect of thermomechanical load on the nondimensional axial stress parameter of simply supported FG cylindrical panel (a/h = 10, R/a = 5)

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Fig. 8

Effect of thermomechanical load on the nondimensional axial stress parameter of simply supported FG elliptical panel (a/h = 10, R/a = 5)

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Fig. 6

Deformed shapes of different FG shell geometries (a) cylindrical panel with CCCC (b) cylindrical panel with SCSC, (c) hyperbolic panel with CCCC, (d) hyperbolic with SCSC, (e) elliptical with CCCC, (f) elliptical with SCSC




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