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 | |
| Publication status | Published - 2011 Oct 1 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Natural frequencies of cracked functionally graded material plates by the extended finite element method
AU - Natarajan, S.
AU - Baiz, P. M.
AU - Bordas, S.
AU - Rabczuk, Timon
AU - Kerfriden, P.
PY - 2011/10/1
Y1 - 2011/10/1
N2 - 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.
AB - 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.
KW - Extended finite element method
KW - Mindlin plate theory
KW - Partition of unity methods
KW - Vibration
UR - http://www.scopus.com/inward/record.url?scp=80052381355&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80052381355&partnerID=8YFLogxK
U2 - 10.1016/j.compstruct.2011.04.007
DO - 10.1016/j.compstruct.2011.04.007
M3 - Article
AN - SCOPUS:80052381355
VL - 93
SP - 3082
EP - 3092
JO - Composite Structures
JF - Composite Structures
SN - 0263-8223
IS - 11
ER -