A Procedure for Detecting Hidden Surface Defects in a Thin Plate by Means of Active Thermography
Source abstract
Abstract
Let ?_\epsilon be a metallic plate whose top inaccessible surface has been damaged by some chemical or mechanical agent. We heat the opposite side and collect a sequence of temperature maps u^\epsilon . Here, we construct a formal explicit approximation of the damage \epsilon ? by solving a nonlinear inverse problem for the heat equation in three steps: (i) smoothing of temperature maps, (ii) domain derivative of the temperature, (iii) thin plate approximation of the model and perturbation theory. Our inversion formula is tested with realistic synthetic data and used in a real laboratory experiment.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in inverse problems · Thermography and Photoacoustic Techniques · Ultrasonics and Acoustic Wave Propagation
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References (22)
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