000169484 001__ 169484
000169484 005__ 20260302165029.0
000169484 0247_ $$2doi$$a10.1016/j.cma.2020.113523
000169484 0248_ $$2sideral$$a121238
000169484 037__ $$aART-2021-121238
000169484 041__ $$aeng
000169484 100__ $$0(orcid)0000-0002-3143-9097$$aOmella, Á.J.
000169484 245__ $$aSensitivity and uncertainty analysis by discontinuous Galerkin of lock-in thermography for crack characterization
000169484 260__ $$c2021
000169484 5203_ $$aThis work focuses on the characterization of narrow vertical cracks of finite size using optically excited lock-in thermography (OLT). To characterize these cracks, we need to solve an ill-posed inverse problem. As a previous step to the solution of this inverse problem, we propose a sensitivity analysis to quantify the influence that the parameters involved in the model have on the surface temperature. Some of these parameters are estimated at the laboratory and they incorporate uncertainty that may severely affect the reconstruction of thin cracks. For this reason, we design a calibration criterion based on the sensitivity analysis to determine which parameters we need to include as unknowns of the inverse problem. We perform this analysis using a numerical discontinuous Galerkin method. Additionally, we propose a theoretical noise model for the thermograms. Then, we use a weighted least square method (WLS) to determine the parameters from the experimental thermograms. We also obtain a theoretical uncertainty of the reconstructed parameters in OLT-WLS fitting according to the used surface temperature dataset. Finally, we perform a numerical experiment with a 2.4 m-thick vertical crack to show the sensitivities of the surface temperature with respect to the model parameters. We also determine the uncertainty of the parameters under different datasets with known noise characteristics.
000169484 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R$$9info:eu-repo/grantAgreement/ES/FEDER/Interreg VA POCTEFA-2014–2020-PIXIL-EFA362/19$$9info:eu-repo/grantAgreement/ES/FEDER-MCYT/MTM2016-75139-R$$9info:eu-repo/grantAgreement/EC/H2020/777778/EU/Multiscale Inversion of Porous Rock Physics using High-Performance Simulators: Bridging the Gap between Mathematics and Geophysics/MATHROCKS$$9This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 777778-MATHROCKS$$9info:eu-repo/grantAgreement/ES/MEC/BCAM-2019/00432-MATHMODE group IT1294-19$$9info:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2019-108111RB-I00$$9info:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2019-104347RB-I00$$9info:eu-repo/grantAgreement/ES/MINECO/SEV-2017-0718
000169484 540__ $$9info:eu-repo/semantics/closedAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000169484 590__ $$a6.588$$b2021
000169484 591__ $$aENGINEERING, MULTIDISCIPLINARY$$b8 / 92 = 0.087$$c2021$$dQ1$$eT1
000169484 591__ $$aMECHANICS$$b9 / 138 = 0.065$$c2021$$dQ1$$eT1
000169484 591__ $$aMATHEMATICS, INTERDISCIPLINARY APPLICATIONS$$b4 / 108 = 0.037$$c2021$$dQ1$$eT1
000169484 592__ $$a2.179$$b2021
000169484 593__ $$aComputational Mechanics$$c2021$$dQ1
000169484 593__ $$aPhysics and Astronomy (miscellaneous)$$c2021$$dQ1
000169484 593__ $$aMechanics of Materials$$c2021$$dQ1
000169484 593__ $$aComputer Science Applications$$c2021$$dQ1
000169484 594__ $$a10.3$$b2021
000169484 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000169484 700__ $$0(orcid)0000-0003-2183-2159$$aCelorrio, R.$$uUniversidad de Zaragoza
000169484 700__ $$aPardo, D.
000169484 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000169484 773__ $$g373 (2021), 113523 [14 pp]$$pComput. methods appl. mech. eng.$$tComputer Methods in Applied Mechanics and Engineering$$x0045-7825
000169484 8564_ $$s1426045$$uhttps://zaguan.unizar.es/record/169484/files/texto_completo.pdf$$yVersión publicada
000169484 8564_ $$s1834389$$uhttps://zaguan.unizar.es/record/169484/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000169484 909CO $$ooai:zaguan.unizar.es:169484$$particulos$$pdriver
000169484 951__ $$a2026-03-02-14:47:34
000169484 980__ $$aARTICLE