Abstract

The domain of non-destructive testing (NDT) or thermal characterization is currently often done by using contactless methods based on the use of an IR camera to monitor the transient temperature response of a system or sample warmed by using any heat source. Though many techniques use optical excitation (flash lamps, lasers, etc.), some techniques use volumetric sources such as acoustic or induction waves. In this paper, we propose a new inverse processing method, which allows for the estimation of 3D fields of heat sources from surface temperature measurements. This method should be associated with volumetric heat source generation. To validate the method, a volumetric source was generated by the Joule effect in a homogeneous PVC sample using an electrical thin cylindrical wire molded in the material. The inverse processing allows us to retrieve the depth of the wire and its geometrical shape and size. This tool could be a new procedure for retrieving 3D defects on NDT.

Highlights

  • The methods for non-destructive testing (NDT) and structural health monitoring (SHM) are numerous, exploiting physical phenomena such as optics, thermodynamics, electromagnetism, acoustics, and thermal effects

  • Infrared thermography (IRT) is a technique that enables the thermal image of a sample observed in a spectral range of the infrared to be obtained

  • While tomography is prevalent in various domains, which enables volumetric measurements (x-ray, magnetism resonance imaging, etc.), it is still not possible to measure the temperature in a 3D volume; in other words, it is not possible to realize thermal tomography

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Summary

Introduction

The methods for non-destructive testing (NDT) and structural health monitoring (SHM) are numerous, exploiting physical phenomena such as optics, thermodynamics, electromagnetism, acoustics, and thermal effects. Sci. 2020, 10, 1607 by exciting them with modulated (lock-in) or pulsed (burst) acoustic waves, creating a thermal source at the spot of the defect; the characterization of the defect takes place by the characterization of the resulting thermal source This reconstruction uses an original regularization term. A method involving the concept of virtual waves was developed by Burgholzer et al [9,10] to go back to the initial conditions (heat flow, temperature values, etc.) in a surface temperature field These works show that the reconstruction methods that exist today lead to the reconstruction of volumetric heat sources (volumetric data) from temperature fields measured at the surface (surface data). An experimental validation is performed on a hot wire molded in a plastic sample and warmed by the Joule effect

Description of the Method through a 1D Example
Inverse Processing Method Based on Bayesian Inference
Direct Problem
Reconstruction of an In-Depth Point Source
Reconstruction of Multiple Sources Using Bayesian Inference
Generalization of the Bayesian Approach to 3D Source Reconstruction
Experimental Validation of a Volumetric Hot Wire Warmed by the Joule Effect
Conclusions
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