This paper presents a new four-node composite element, which incorporates nd delaminations through its thickness. Based on the extended finite element method (X-FEM) technology, the element is particularized on a CLT (classical laminate theory). Delamination is considered in the kinematic equations with additional degrees of freedom. The result is a four-node quadrilateral element requiring only two single FEM (finite element method) formulations, a bending one and a membrane one. An important result is that this formulation has the same accuracy as when separate elements are considered (“four region approach”). It is furthermore proven that the delaminated element passes the “patch test” if the selected FEM formulations to build the element pass the test in the pure single problems, making this methodology very attractive to develop other fractured elements. To illustrate this result, two benchmark problems were studied: first a complete delaminated cantilever plate, and second a complete delaminated circular plate. The element was tested in the context of SHM (structural health monitoring). Frequency shifts, damage indexes, and changes in mode shapes and frequency response functions (FRF) were obtained to quantify the severity of damage due to delamination.
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Mechanics,
Universitat Politècnica de València,
Spain;
Department of Applied Physics,
University of Granada,
e-mail: ceferca@cam.upv.es
Mechanics,
Universitat Politècnica de València,
e-mail: malana@mes.upv.es
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December 2013
Research-Article
On the Accuracy of a Four-Node Delaminated Composite Plate Element and Its Application to Damage Detection
Cesar F. Casanova,
Mechanics,
Universitat Politècnica de València,
Spain;
Department of Applied Physics,
University of Granada,
e-mail: ceferca@cam.upv.es
Cesar F. Casanova
Department of Structural & Continuum
Mechanics,
Universitat Politècnica de València,
Spain;
Department of Applied Physics,
University of Granada,
Spain
e-mail: ceferca@cam.upv.es
Search for other works by this author on:
M. Lázaro
Mechanics,
Universitat Politècnica de València,
e-mail: malana@mes.upv.es
M. Lázaro
Department of Structural & Continuum
Mechanics,
Universitat Politècnica de València,
Spain
e-mail: malana@mes.upv.es
Search for other works by this author on:
Cesar F. Casanova
Department of Structural & Continuum
Mechanics,
Universitat Politècnica de València,
Spain;
Department of Applied Physics,
University of Granada,
Spain
e-mail: ceferca@cam.upv.es
A. Gallego
M. Lázaro
Department of Structural & Continuum
Mechanics,
Universitat Politècnica de València,
Spain
e-mail: malana@mes.upv.es
Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received August 1, 2012; final manuscript received March 5, 2013; published online June 19, 2013. Assoc. Editor: Marco Amabili.
J. Vib. Acoust. Dec 2013, 135(6): 061003 (10 pages)
Published Online: June 19, 2013
Article history
Received:
August 1, 2012
Revision Received:
February 26, 2013
Citation
Casanova, C. F., Gallego, A., and Lázaro, M. (June 19, 2013). "On the Accuracy of a Four-Node Delaminated Composite Plate Element and Its Application to Damage Detection." ASME. J. Vib. Acoust. December 2013; 135(6): 061003. https://doi.org/10.1115/1.4023994
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