Natural frequencies of cracked functionally graded material plates by the extended finite element method

Natarajan, Sundararajan ORCID: https://orcid.org/0000-0002-0409-0096, Baiz, P.M., Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002, Rabczuk, T. and Kerfriden, Pierre ORCID: https://orcid.org/0000-0002-7749-3996 2011. Natural frequencies of cracked functionally graded material plates by the extended finite element method. Composite Structures 93 (11) , pp. 3082-3092. 10.1016/j.compstruct.2011.04.007

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Abstract

In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending element based on field and edge consistency requirement with 20 degrees of freedom per element is used for this study. The natural frequencies and mode shapes of simply supported and clamped square and rectangular plates are computed as a function of gradient index, crack length, crack orientation and crack location. The effect of thickness and influence of multiple cracks is also studied.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords:	Mindlin plate theory; Vibration; Partition of unity methods; Extended finite element method
Publisher:	Elsevier
ISSN:	0263-8223
Last Modified:	11 Mar 2023 02:12
URI:	https://orca.cardiff.ac.uk/id/eprint/36319

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