169484 20260306152057.0 doi 10.1016/j.cma.2020.113523 sideral 121238 ART-2021-121238 eng Omella, Á.J. (orcid)0000-0002-3143-9097 Sensitivity and uncertainty analysis by discontinuous Galerkin of lock-in thermography for crack characterization 2021 Access copy available to the general public Unrestricted This work focuses on the characterization of narrow vertical cracks of finite size using optically excited lock-in thermography (OLT). To characterize these cracks, we need to solve an ill-posed inverse problem. As a previous step to the solution of this inverse problem, we propose a sensitivity analysis to quantify the influence that the parameters involved in the model have on the surface temperature. Some of these parameters are estimated at the laboratory and they incorporate uncertainty that may severely affect the reconstruction of thin cracks. For this reason, we design a calibration criterion based on the sensitivity analysis to determine which parameters we need to include as unknowns of the inverse problem. We perform this analysis using a numerical discontinuous Galerkin method. Additionally, we propose a theoretical noise model for the thermograms. Then, we use a weighted least square method (WLS) to determine the parameters from the experimental thermograms. We also obtain a theoretical uncertainty of the reconstructed parameters in OLT-WLS fitting according to the used surface temperature dataset. Finally, we perform a numerical experiment with a 2.4 m-thick vertical crack to show the sensitivities of the surface temperature with respect to the model parameters. We also determine the uncertainty of the parameters under different datasets with known noise characteristics. info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R info:eu-repo/grantAgreement/ES/FEDER/Interreg VA POCTEFA-2014–2020-PIXIL-EFA362/19 info:eu-repo/grantAgreement/ES/FEDER-MCYT/MTM2016-75139-R info:eu-repo/grantAgreement/EC/H2020/777778/EU/Multiscale Inversion of Porous Rock Physics using High-Performance Simulators: Bridging the Gap between Mathematics and Geophysics/MATHROCKS This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 777778-MATHROCKS info:eu-repo/grantAgreement/ES/MEC/BCAM-2019/00432-MATHMODE group IT1294-19 info:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2019-108111RB-I00 info:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2019-104347RB-I00 info:eu-repo/grantAgreement/ES/MINECO/SEV-2017-0718 info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 6.588 2021 ENGINEERING, MULTIDISCIPLINARY 8 / 92 = 0.087 2021 Q1 T1 MECHANICS 9 / 138 = 0.065 2021 Q1 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 4 / 108 = 0.037 2021 Q1 T1 2.179 2021 Computational Mechanics 2021 Q1 Physics and Astronomy (miscellaneous) 2021 Q1 Mechanics of Materials 2021 Q1 Computer Science Applications 2021 Q1 10.3 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Celorrio, R. Universidad de Zaragoza (orcid)0000-0003-2183-2159 Pardo, D. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 373 (2021), 113523 [14 pp] Comput. methods appl. mech. eng. Computer Methods in Applied Mechanics and Engineering 0045-7825 327215 http://zaguan.unizar.es/record/169484/files/texto_completo.pdf Postprint 1576160 http://zaguan.unizar.es/record/169484/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:169484 articulos driver 2026-03-06-15:18:48 ARTICLE