Keywords :
Extended finite element method; Mindlin plate theory; Partition of unity methods; Vibration; Consistency requirements; Crack length; Crack location; Crack orientations; Flexural vibrations; Gradient indexes; Mode shapes; Multiple crack; Plate bending element; Rectangular plates; Simply supported; Beams and girders; Crack propagation; Cracks; Functionally graded materials; Mindlin plates; Natural frequencies; Finite element method
Abstract :
[en] 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. © 2011 Elsevier Ltd.
Natarajan, S.; Inst. of Mechanics and Advanced Materials, Theoretical and Computational Mechanics, Cardiff University, United Kingdom
Baiz, P. M.; Department of Aeronautics, Imperial College London, United Kingdom
Bordas, Stéphane ;
University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit Rabczuk, T.; Department of Civil Engineering, Bauhaus-Universität Weimar, Germany
Kerfriden, P.; Inst. of Mechanics and Advanced Materials, Theoretical and Computational Mechanics, Cardiff University, United Kingdom
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