Wave propagation in plate structures for crack detection

Krawczuk, Marek; Palacz, Magdalena; Ostachowicz, Wiesław

doi:10.1016/j.finel.2003.03.001

Cited by 44 publications

(21 citation statements)

References 11 publications

(16 reference statements)

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“…The coefficients A mn , B mn , C mn , D mn , E mn , F mn , G mn and H mn can be calculated as a function of the nodal spectral displacements using the element boundary conditions [37,38].…”

Section: Spectral Plate Element With a Crackmentioning

confidence: 99%

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Damage detection of structures using spectral finite element method

Ostachowicz

2008

Computers & Structures

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“…The coefficients A mn , B mn , C mn , D mn , E mn , F mn , G mn and H mn can be calculated as a function of the nodal spectral displacements using the element boundary conditions [37,38].…”

Section: Spectral Plate Element With a Crackmentioning

confidence: 99%

“…The function a bb y W À Á is given in [38]. The aim of the experimental programme was to investigate damage detection, using SHM technique depicted in Fig.…”

Section: Spectral Plate Element With a Crackmentioning

confidence: 99%

Damage detection of structures using spectral finite element method

Ostachowicz

2008

Computers & Structures

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“…A Fourier based SFE for 2D plates with transverse crack was developed by Krawczuk et al [7] for isotropic structures and Chakraborthy et al [8] extended the idea to composite structures. However, the Fourier spectral finite element (FSFE) cannot handle waveguides of short lengths, which is a major disadvantage for practical implementation.…”

Section: Introductionmentioning

confidence: 99%

“…The plate is divided into two elements along the line of crack. Continuity conditions are imposed at the crack interface on certain linear and angular displacements following similar formulations in [7,8]. A discontinuity is introduced at the crack interface for the angular displacement about the axis of the crack following the concept of crack flexibility [10].…”

Section: Introductionmentioning

confidence: 99%

Wavelet spectral finite element modeling of transverse crack for structural health monitoring of composite plates

Samaratunga¹,

Jha

Gopalakrishnan³

2012

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

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This paper presents a newly developed wavelet spectral finite element (WFSE) to analyze wave propagation in anisotropic laminated composite plate with a non propagating transverse crack. The WSFE is based on the first-order laminated plate theory, which takes shear deformation into consideration. The developed spectral element captures the exact inertial distribution as the governing partial differential equations (PDEs) are solved exactly in the transformed frequencywavenumber domain. Wavelet transform is used to go back and forth between time and frequency domains. The developed procedure is very efficient computationally compared to conventional finite element (FE) modeling for wave propagation analysis. A transverse crack having an arbitrary length and depth and located parallel to one side of the plate is modeled using WSFE. Elastic behavior of the plate at crack location is considered as a line spring with a varying stiffness along the crack. Time domain results show partial reflections of the excited wave due to cracks at different time instances corresponding to crack locations.

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“…Relatively little work can be found in the literature on the analytical modeling of damaged plates. Among the work considered as reference for this study, the contributions by Ostachowicz, Krawczuk and co-workers are here mentioned as relevant to the present investigations (Azak et al, 2001;Krawczuk, 2002b;Krawczuk et al, 2004).…”

Section: Introductionmentioning
confidence: 99%

Perturbation methods for the analysis of the dynamic behavior of damaged plates
Sharma
¹
,
Ruzzene
²
,
Hanagud
³

2006
International Journal of Solids and Structures
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This paper presents an analytical method for the analysis of the dynamic behavior of damaged plates. The proposed approach allows the derivation of mode shapes and corresponding curvature modes for plates with various kinds of defects. Damage is modeled as a localized reduction in the plate thickness. Both point and line defects are considered to model notches or line cracks and delaminations in the plate. Small thickness reductions are considered so that the dynamic behavior of the damage plate can be analyzed through perturbations with respect to the undamaged modes. Results are presented to demonstrate the sensitivity of the curvature modes with respect to the considered low damage levels. Also, the curvature modes are used for the estimation of the strain energy of the plate and for the formulation of a damage index which can be used to provide damage location and extent information.

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Wave propagation in plate structures for crack detection

Cited by 44 publications

References 11 publications

Damage detection of structures using spectral finite element method

Damage detection of structures using spectral finite element method

Wavelet spectral finite element modeling of transverse crack for structural health monitoring of composite plates

Perturbation methods for the analysis of the dynamic behavior of damaged plates

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