Reference : Linear free flexural vibration of cracked functionally graded plates in thermal envir...

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/11865

Title :	Linear free flexural vibration of cracked functionally graded plates in thermal environment
Language :	English
Author, co-author :	Natarajan, S. [Institute of Mechanics and Advanced Materials, Theoretical and Computational Mechanics, Cardiff University, CF24 3AA, United Kingdom]
	Baiz, P. M. [Department of Aeronautics, Imperial College, London, United Kingdom]
	Ganapathi, M. [Functional Head - Stress and DTA, Bombardier India Centre, Mahindra Satyam, Bangalore, India]
	Kerfriden, P. [Institute of Mechanics and Advanced Materials, Theoretical and Computational Mechanics, Cardiff University, CF24 3AA, United Kingdom]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Publication date :	2011
Journal title :	Computers and Structures
Volume :	89
Issue/season :	15-16
Pages :	1535-1546
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	0045-7949
Keywords :	[en] Cracked plate ; Functionally graded plate ; Gradient index ; Linear vibration ; Ressiner-Mindlin plate ; Shear flexible element ; Flexible elements ; Functionally graded plates ; Gradient indexes ; Linear vibrations ; Aspect ratio ; Beams and girders ; Cracks ; Materials properties ; Mindlin plates ; Natural frequencies ; Shear deformation ; Functionally graded materials
Abstract :	[en] In this paper, the linear free flexural vibrations of functionally graded material plates with a through center crack is studied using an 8-noded shear flexible element. The material properties are assumed to be temperature dependent and graded in the thickness direction. The effective material properties are estimated using the Mori-Tanaka homogenization scheme. The formulation is developed based on first-order shear deformation theory. The shear correction factors are evaluated employing the energy equivalence principle. The variation of the plates natural frequency is studied considering various parameters such as the crack length, plate aspect ratio, skew angle, temperature, thickness and boundary conditions. The results obtained here reveal that the natural frequency of the plate decreases with increase in temperature gradient, crack length and gradient index. © 2011 Elsevier Ltd. All rights reserved.
Target :	Researchers ; Professionals ; Students ; General public
Permalink :	http://hdl.handle.net/10993/11865
DOI :	10.1016/j.compstruc.2011.04.002

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