Journal ArticleDOI
Thermoelastic Transient Behavior for a Clamped FGM Circular Plate
TLDR
In this paper, the authors investigated the thermoelastic transient behavior of a clamped circular plate composed of functionally graded material (FGM) and found that the functional gradient index, ratio of thickness to radius, thermal and mechanical loads have significant effect on the thermodynamic properties of the clamped FGM circular plate.Abstract:
In this paper, the thermoelastic transient behavior of a clamped circular plate composed of functionally graded material (FGM) is investigated. The material properties of the FGM circular plate are assumed to vary through the plate thickness according to a power law distribution of the volume fraction of constituent materials, except Poisson's ratio, which is assumed as constant. Based on the von Karman equation and classical theory of thin plates, the equation of motion for the FGM circular plate is derived by the Hamilton principle. The nonlinear governing equation is solved by the Galerkin method, along with Newmark's integration method, in an iterative manner. Numerical results reveal that the functional gradient index, ratio of thickness to radius, thermal and mechanical loads have significant effect on the thermoelastic transient behavior of the clamped FGM circular plate. The result presented herein may be used as a reference for solving other transient coupled problems of thermoelasticity.read more
Citations
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Journal ArticleDOI
On radially symmetric vibrations of functionally graded non-uniform circular plate including non-linear temperature rise
Roshan Lal,Rahul Saini +1 more
TL;DR: In this article, the free axisymmetric vibrations of functionally graded circular plate of linearly varying thickness controlled by a taper parameter in radial direction and non-linear temperature rise along the thickness have been investigated on the basis of classical plate theory.
Journal ArticleDOI
Exact Solution of Thermoelastic Damping and Frequency Shifts in a Nano-Beam Resonator
TL;DR: In this paper, the authors considered the problem of a generalized thermoelastic vibration of a bounded nano-beam resonator in the context of Green and Naghdi theory.
Journal ArticleDOI
Thermal effect on radially symmetric vibrations of temperature-dependent FGM circular plates with nonlinear thickness variation
Roshan Lal,Rahul Saini +1 more
Journal ArticleDOI
Two-Temperature Generalized Thermo-Elastic Medium Thermally Excited by Time Exponentially Decaying Laser Pulse
TL;DR: In this paper, closed form solutions for the temperature and stress fields due to time exponentially decaying laser pulse are presented using the state-space approach, where the Laplace transformation method is employed in deriving the governing equations.
Journal ArticleDOI
On the Dynamic Response of Imperfection Sensitive Higher Order Functionally Graded Plates with Random System Parameters
Mohammed Shakir,Mohammad Talha +1 more
TL;DR: In this article, the influence of various random system parameters on dynamics response of imperfection sensitive higher order shear deformable functionally graded material (FGM) plates is presented, and the influence is analyzed.
References
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Journal ArticleDOI
Thermomechanical analysis of functionally graded cylinders and plates
J. N. Reddy,C. D. Chin +1 more
TL;DR: In this paper, the dynamic thermoelastic response of functionally graded cylinders and plates is studied, and a finite element model of the formulation is developed, where the heat conduction and the thermo-elastic equations are solved for a functionally graded axisymmetric cylinder subjected to thermal loading.
Journal ArticleDOI
Nonlinear vibration and dynamic response of functionally graded plates in thermal environments
Xiao-Lin Huang,Hui-Shen Shen +1 more
TL;DR: In this paper, the nonlinear vibration and dynamic response of functional graded material plates in thermal environments were investigated, where heat conduction and temperature-dependent material properties were both taken into account.
Journal ArticleDOI
Nonlinear analysis of functionally graded plates and shallow shells
J. Woo,Shaker A. Meguid +1 more
TL;DR: In this article, an analytic solution for the coupled large deflection of plates and shallow shells made of functionally graded materials (FGMs) under transverse mechanical loads and a temperature field is provided.
Journal ArticleDOI
Axisymmetric bending of functionally graded circular and annular plates
TL;DR: In this article, the authors studied axisymmetric bending and stretching of annular circular plates using the first-order shear deformation Mindlin plate theory and provided the solutions for deflections, force and moment resultants in terms of the corresponding quantities of isotropic plates based on the classical Kirchhoff plate theory.
Journal ArticleDOI
Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings
TL;DR: In this paper, the axisymmetric large deflection bending of a functionally graded circular plate under mechanical, thermal and combined thermal-mechanical loadings, respectively, was investigated.
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