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, T.
AU - Kerfriden, P.
N1 - Funding Information:
S Natarajan acknowledges the financial support of (1) the Overseas Research Students Awards Scheme; (2) the Faculty of Engineering, University of Glasgow, for period January 2008–September 2009 and of (3) the School of Engineering (Cardiff University) for the period September 2009 onwards.
Funding Information:
S Bordas and P Kerfriden would like to acknowledge the financial support of the Royal Academy of Engineering and of the Leverhulme Trust for Bordas’ Senior Research Fellowship entitled “Towards the next generation surgical simulators” as well as partial financial support of the UK Engineering and Physical Science Research Council (EPSRC) under grants EP/G069352/1 Advanced discretisation strategies for “atomistic” nano CMOS simulation and EP/G042705/1 Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method. T Rabczuk would like to thank the DFG.
PY - 2011/10
Y1 - 2011/10
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
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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 -