Reference : Natural frequencies of cracked functionally graded material plates by the extended fi...

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/11867

Title :	Natural frequencies of cracked functionally graded material plates by the extended finite element method
Language :	English
Author, co-author :	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]
Publication date :	2011
Journal title :	Composite Structures
Volume :	93
Issue/season :	11
Pages :	3082-3092
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	02638223
Keywords :	[en] 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.
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/11867
DOI :	10.1016/j.compstruct.2011.04.007

	File(s) associated to this reference
	Fulltext file(s): File Commentary Version Size Access Limited access NaturalFreqCrack.pdf Author preprint 575.51 kB Request a copy

All documents in ORBi^lu are protected by a user license.

 

University of Luxembourg Library |  Feedback |  Legal notices Site Map