Application of the topological derivative to post-processing infrared time-harmonic thermograms for defect detection

Peña, Manuel; Rapún, María-Luisa

doi:10.1186/s13362-020-0072-9

Cited by 6 publications

(4 citation statements)

References 55 publications

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“…In addition, we consider multi-frequency approach as proposed in the papers by Park (2013) and Park (2017). More precisely, we follow the ideas introduced in the works by Louër and Rapún (2019) and Pena and Rapún (2020), which consist in defining a weighted topological derivative in the form (3.5)…”

Section: Numerical Resultsmentioning

confidence: 99%

Damage identification in plate structures based on the topological derivative method

Silva

Novotny

2021

Struct Multidisc Optim

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In this work, a novel approach for solving a damage identification problem in plate structures based on the topological derivative method is proposed. The forward problems are governed by the elastodynamic Kirchhoff and Reissner-Mindlin plate bending models in the frequency domain. The inverse problem consists in finding a set of damages from pointwise domain measurements of the plate displacement field. The damage is represented by a variation in the plate thickness, which is assumed to be given by a piecewise constant function. A shape functional measuring the misfit between the available data (measurements) and the displacements computed from the model is minimized with respect to the geometrical support of the unknown damage distribution, by using the topological derivative method. Finally, some numerical experiments are presented, showing different features of the proposed approach in detecting and locating damages of varying sizes and shapes by taking into account noisy data.

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Section: Numerical Resultsmentioning

confidence: 99%

Damage identification in plate structures based on the topological derivative method

Silva

Novotny

2021

Struct Multidisc Optim

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“…Let us now consider the topological sensitivity approach for post-processing SHM data obtained via infrared (IR) active thermographic inspection. A topological sensitivitybased analysis using steady thermography was presented by us in Reference [81] (see Reference [82] for a preliminary theoretical analysis using steady thermograms, and also Reference [83] for an analysis using oscillatory, multifrequency, and thermograms) and had been already considered by other authors in References [84,85].…”

Section: Application To Shm Using Infrared Thermographymentioning

confidence: 99%

Non-Invasive Testing of Physical Systems Using Topological Sensitivity

et al. 2021

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A review of available results on non-destructive testing of physical systems, using the concept of topological sensitivity, is presented. This mathematical tool estimates the sensitivity of a set of measurements in some given sensors, distributed along the system, to defects/flaws that produce a degradation of the system. Such degradation manifests itself on the properties of the system. The good performance of this general purpose post-processing method is reviewed and illustrated in some applications involving non-destructive testing. These applications include structural health monitoring, considering both elastodynamic ultrasonic guided Lamb waves and active infrared thermography. Related methods can also be used in other fields, such as diagnosis/prognosis of engineering devices, which is also considered.

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“…Goncalves et al [36] considered the identification of acoustic parameters in the frequency domain using a topological problem optimization approach. Pena et al [37] applied active time-harmonic infrared thermography to detect defects inside of thin plates. Burchinski et al [38] reviewed bioinspired methods for solving various inverse problems for mechanical systems.…”

Section: Introductionmentioning

confidence: 99%

A New Approach to Identifying an Arbitrary Number of Inclusions, Their Geometry and Location in the Structure Using Topological Optimization

et al. 2022

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In the present paper, a new approach to identifying an arbitrary number of inclusions, their geometry and their location in 2D and 3D structures using topological optimization was proposed. The new approach was based on the lack of initial information about the geometry of the inclusions and their location in the structure. The numerical solutions were obtained by the finite element method in combination with the method of moving asymptotes. The convergence of the finite element method at the coincidence of functions and their derivatives was analyzed. Results with an error of no more than 0.5%, i.e., almost exact solutions, were obtained. Identification at impact on the plate temperature and heat flux by solving the inverse problem of heat conduction was produced. Topological optimization for identifying an arbitrary number of inclusions, their geometry and their location in 2D problems was investigated.

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Application of the topological derivative to post-processing infrared time-harmonic thermograms for defect detection

Cited by 6 publications

References 55 publications

Damage identification in plate structures based on the topological derivative method

Damage identification in plate structures based on the topological derivative method

Non-Invasive Testing of Physical Systems Using Topological Sensitivity

A New Approach to Identifying an Arbitrary Number of Inclusions, Their Geometry and Location in the Structure Using Topological Optimization

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