Reference : Linear free flexural vibration of cracked functionally graded plates in thermal envir...
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
Computational Sciences
http://hdl.handle.net/10993/11865
Linear free flexural vibration of cracked functionally graded plates in thermal environment
English
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 mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
2011
Computers & Structures
89
15-16
1535-1546
Yes (verified by ORBilu)
International
0045-7949
[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
[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.
Researchers ; Professionals ; Students ; General public
http://hdl.handle.net/10993/11865
10.1016/j.compstruc.2011.04.002

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