Linear free flexural vibration of cracked functionally graded plates in thermal environment

Natarajan, Sundararajan ORCID: https://orcid.org/0000-0002-0409-0096, Baiz, P. M., Ganapathi, M., Kerfriden, Pierre ORCID: https://orcid.org/0000-0002-7749-3996 and Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002 2011. Linear free flexural vibration of cracked functionally graded plates in thermal environment. Computers and Structures 89 (15-16) , pp. 1535-1546. 10.1016/j.compstruc.2011.04.002

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Abstract

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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	Functionally graded plate; Linear vibration; Cracked plate; Ressiner–Mindlin plate; Shear flexible element; Gradient index
Publisher:	Elsevier
ISSN:	0045-7949
Last Modified:	11 Mar 2023 02:11
URI:	https://orca.cardiff.ac.uk/id/eprint/15550

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