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Journal ArticleDOI

Finite-element buckling and vibration analysis of functionally graded box columns in thermal environments

K. Ramkumar, +1 more
- Vol. 222, Iss: 1, pp 53-64
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TLDR
In this paper, the buckling and vibration behaviors of thin-walled box columns in a thermal environment made of functionally graded materials are investigated, using finite-element method based on classical laminated plate theory.
Abstract
In the current paper, buckling and vibration behaviours of thin-walled box columns in a thermal environment made of functionally graded materials are investigated, using finite-element method based on classical laminated plate theory. The four node thin-plate element with five degrees of freedom is employed in the study. The box column is considered as assemblages of plates, and a continuously graded variation in composition of the ceramic and metal phases across the plate wall thickness in terms of a simple power law distribution is implemented. The effects of temperature dependent material properties on the critical buckling and the free vibration response are studied. The analysis is carried out under thermal environment for clamped—clamped boundary condition and results are presented.

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Journal ArticleDOI

Non-linear thermal stability analysis of temperature dependent FGM beams supported on non-linear hardening elastic foundations

TL;DR: In this article, thermal buckling and postbuckling analysis of Functionally Graded Material (FGM) Timoshenko beams resting on a non-linear elastic foundation are examined.
Journal ArticleDOI

Nonlinear thermal stability and vibration of pre/post-buckled temperature- and microstructure-dependent functionally graded beams resting on elastic foundation

TL;DR: In this article, the buckling and post-buckling analysis and small amplitude vibrations in the pre/postbuckling regimes of functionally graded beams resting on a nonlinear elastic foundation and subjected to in-plane thermal loads are investigated.
Journal ArticleDOI

Numerical study on the free vibration and thermal buckling behavior of moderately thick functionally graded structures in thermal environments

TL;DR: In this article, the free vibration and thermal buckling behavior of moderately thick functionally graded material (FGM) structures including plates, cylindrical panels and shells under thermal environments was investigated by applying the finite element method (FEM).
Journal ArticleDOI

Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation

TL;DR: In this paper, small amplitude vibrations of a functionally graded material beam under in-plane thermal loading in the prebuckling and postbuckling regimes were studied. And the authors concluded that depending on the type of boundary condition and loading type, free vibration of a beam under thermal loading may reach zero at a certain temperature which indicates the existence of bifurcation type of instability.
Journal ArticleDOI

A Review on the Finite Element Methods for Heat Conduction in Functionally Graded Materials

TL;DR: In this article, a review on the application of finite element methods for investigating the effect of heat transfer, variation of temperature and other parameters in the functionally graded materials is presented, where the authors have also discussed the utilization of FEM based shear deformation theories and FEM in combination with other methods for the problems involving complexity of the shape and geometry of functionally grade materials.
References
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Book

The finite element method in engineering science

TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
Journal ArticleDOI

Thermomechanical analysis of functionally graded cylinders and plates

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

Thermal Buckling of Functionally Graded Plates

TL;DR: In this article, the equilibrium and stability equations of a rectangular plate made of functionally graded material under thermal loads are derived, based on the classical plate theory, when it is assumed that the material properties vary as a power form of thicknesscoordinate variable z and when the variational method is used, the system of fundamental differential equations is established.
Journal ArticleDOI

Thermal buckling of functionally graded plates based on higher order theory

TL;DR: In this article, equilibrium and stability equations of a rectangular plate made of functionally graded material (FGM) under thermal loads are derived, based on the higher order shear deformation plate theory.
Journal ArticleDOI

Thermal buckling of a simply supported moderately thick rectangular fgm plate

TL;DR: In this paper, equilibrium and stability equations of a moderately thick rectangular plate made of functionally graded materials under thermal loads are derived based on the first order shear deformation theory, assuming that the material properties vary as a power form of thickness coordinate variable z.
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