Discontinuous Galerkin method applied to photothermal inspection of cracked materials

  1. Omella, Angel Javier 1
  2. Celorrio, Ricardo
  1. 1 Universidad del País Vasco/Euskal Herriko Unibertsitatea
    info

    Universidad del País Vasco/Euskal Herriko Unibertsitatea

    Lejona, España

    ROR https://ror.org/000xsnr85

Konferenzberichte:
Thirteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 17–18, 2014

Verlag: Prensas de la Universidad de Zaragoza

ISBN: 978-84-16515-28-8

Datum der Publikation: 2015

Seiten: 105-114

Art: Konferenz-Beitrag

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Zusammenfassung

We present a generalization of Baumann-Oden-type Discontinuous Galerkin Finite Element Method (DGFEM) to model the thermal wave scattering in lock-in thermographic and vibrothermographic inspection of cracked samples of homogeneous materials. The modelization is based on considering thin cracks as interfaces characterized by its thermal contact resistance.We check numerically the order of convergence of the method for the 1D case. We present a 3D heat flow numerical simulation of a cracked gear that has been implemented, by using a collection of scientific open-source software as an application example