Damage Localisation in Thin Plates Using the Inverse Finite Element Method

Roy, Rinto; Gherlone, Marco; Surace, Cecilia

doi:10.1007/978-981-13-8331-1_14

Cited by 9 publications

(5 citation statements)

References 17 publications

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“…The stable explicit time-step size of 8 2.5 10 t     is used for the PD analyses of both problem, which satisfies the stability condition given in Eq. (45). Therefore, the dynamic tensile and bending PD analyses are performed for 5000 and 20000 time steps in total, respectively.…”

Section: Bending Problemmentioning

confidence: 99%

“…Particularly, the iQS4 element has recently gained a popularity for shape sensing applications on simple/complex geometries, e.g., ship and offshore structures [35][36][37][38][39] and stiffened aerospace panels [40][41], due to its merits for practical modelling of large-scale structures with low-cost sensor measurement and highly accurate displacement estimations [42][43]. Several studies have shown the superior applications of iFEM/iQS4 approach Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures for damage identification in monolithic/stiffened structures having isotropic/orthotropic material properties [44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures

Kefal

Diyaroglu

Yıldız

et al. 2022

Computer Methods in Applied Mechanics and Engineering

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Section: Bending Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures

Kefal

Diyaroglu

Yıldız

et al. 2022

Computer Methods in Applied Mechanics and Engineering

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“…Moreover, the application of iFEM has been extended to geometrically non-linear problems in [36,37]. The success of these investigations has also prompted the use of iFEM for SHM applications, specifically for damage detection in metallic [38,39] and composite [40][41][42] structures, and more recently for damage prognosis [43,44]. A key limitation of the 2D iFEM is the need for a large number of strain measurements to generate accurate results, which can be resolved using an optimal selection of sensor locations [45][46][47] and strain pre-extrapolation to produce virtual measurement sites [48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Shell-Beam Inverse Finite Element Method for the Shape Sensing of Stiffened Thin-Walled Structures: Formulation and Experimental Validation on a Composite Wing-Shaped Panel

Esposito

Roy

Surace

et al. 2023

Sensors

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This work presents a novel methodology for the accurate and efficient elastic deformation reconstruction of thin-walled and stiffened structures from discrete strains. It builds on the inverse finite element method (iFEM), a variationally-based shape-sensing approach that reconstructs structural displacements by matching a set of analytical and experimental strains in a least-squares sense. As iFEM employs the finite element framework to discretize the structural domain and as the displacements and strains are approximated using element shape functions, the kind of element used influences the accuracy and efficiency of the iFEM analysis. This problem is addressed in the present work through a novel discretization scheme that combines beam and shell inverse elements to develop an iFEM model of the structure. Such a hybrid discretization paradigm paves the way for more accurate shape-sensing of geometrically complex structures using fewer sensor measurements and lower computational effort than traditional approaches. The hybrid iFEM is experimentally demonstrated in this work for the shape sensing of bending and torsional deformations of a composite stiffened wing panel instrumented with strain rosettes and fiber-optic sensors. The experimental results are accurate, robust, and computationally efficient, demonstrating the potential of this hybrid scheme for developing an efficient digital twin for online structural monitoring and control.

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“…The iFEM can analyze both the static and dynamic response of a structure [23,28], in the linear and non-linear displacement regimes [29], without any prior knowledge of the structure's material properties or loading conditions. The use of iFEM for SHM has been demonstrated on simple beams using fiber optic strain measurements [30] and on thin plates using strain measurements from a grid of strain rosettes [31,32].…”

Section: Introductionmentioning

confidence: 99%

Full-Field Strain Reconstruction Using Uniaxial Strain Measurements: Application to Damage Detection

et al. 2021

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This work investigates the inverse problem of reconstructing the continuous displacement field of a structure using a spatially distributed set of discrete uniaxial strain data. The proposed technique is based on the inverse Finite Element Method (iFEM), which has been demonstrated to be suitable for full-field displacement, and subsequently strain, reconstruction in beam and plate structures using discrete or continuous surface strain measurements. The iFEM uses a variationally based approach to displacement reconstruction, where an error functional is discretized using a set of finite elements. The effects of position and orientation of uniaxial strain measurements on the iFEM results are investigated, and the use of certain strain smoothing strategies for improving reconstruction accuracy is discussed. Reconstruction performance using uniaxial strain data is examined numerically using the problem of a thin plate with an internal crack. The results obtained highlight that strain field reconstruction using the proposed strategy can provide useful information regarding the presence, position, and orientation of damage on the plate.

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Damage Localisation in Thin Plates Using the Inverse Finite Element Method

Cited by 9 publications

References 17 publications

Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures

Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures

Hybrid Shell-Beam Inverse Finite Element Method for the Shape Sensing of Stiffened Thin-Walled Structures: Formulation and Experimental Validation on a Composite Wing-Shaped Panel

Full-Field Strain Reconstruction Using Uniaxial Strain Measurements: Application to Damage Detection

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