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

Sundararajan Natarajan; Pedro M. Baiz; S. Bordas; Timon Rabczuk; P. Kerfriden

doi:10.1016/j.compstruct.2011.04.007

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

Sundararajan Natarajan, Pedro M. Baiz, S. Bordas, Timon Rabczuk, P. Kerfriden

Research output: Contribution to journal › Article

88 Citations (Scopus)

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.

Original language	English
Pages (from-to)	3082-3092
Number of pages	11
Journal	Composite Structures
Volume	93
Issue number	11
DOIs	https://doi.org/10.1016/j.compstruct.2011.04.007
Publication status	Published - Oct 2011
Externally published	Yes

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Natarajan, S., Baiz, P. M., Bordas, S., Rabczuk, T., & Kerfriden, P. (2011). Natural frequencies of cracked functionally graded material plates by the extended finite element method. Composite Structures, 93(11), 3082-3092. https://doi.org/10.1016/j.compstruct.2011.04.007

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AU - Kerfriden, P.

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KW - Mindlin plate theory

KW - Partition of unity methods

KW - Vibration

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10.1016/j.compstruct.2011.04.007

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