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

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

Research output: Contribution to journalArticle

85 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 languageEnglish
Pages (from-to)3082-3092
Number of pages11
JournalComposite Structures
Volume93
Issue number11
DOIs
Publication statusPublished - 2011 Oct 1
Externally publishedYes

Fingerprint

Functionally graded materials
Natural frequencies
Cracks
Finite element method

Keywords

  • Extended finite element method
  • Mindlin plate theory
  • Partition of unity methods
  • Vibration

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Ceramics and Composites

Cite this

Natural frequencies of cracked functionally graded material plates by the extended finite element method. / Natarajan, S.; Baiz, P. M.; Bordas, S.; Rabczuk, Timon; Kerfriden, P.

In: Composite Structures, Vol. 93, No. 11, 01.10.2011, p. 3082-3092.

Research output: Contribution to journalArticle

Natarajan, S. ; Baiz, P. M. ; Bordas, S. ; Rabczuk, Timon ; Kerfriden, P. / Natural frequencies of cracked functionally graded material plates by the extended finite element method. In: Composite Structures. 2011 ; Vol. 93, No. 11. pp. 3082-3092.
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