COMPLAS 2025

Perturbation length measurement from full-field data and matched asymptotic expansion

  • Duminy, Thomas (Univ Lyon, INSA-Lyon, CNRS UMR5259, LaMCoS)
  • Doitrand, Aurélien (Univ Lyon, INSA-Lyon, CNRS UMR5510, MATEIS)
  • Estevez, Rafael (Univ. Grenoble Alpes, CNRS UMR 5266, Grenoble)

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In-situ full-field measurement, e.g., from Digital Image Correlation (DIC) is capable of tracking the position of a crack in a solid subjected to an arbitrarily increasing loading, and thus the crack length can be accurately tracked [1]. This technique is based on the expression of the displacement and stress field in the vicinity of a crack using the William's expansion. Leguillon [2] showed that using the matched asymptotic expansion of these two mechanical fields, it is theoretically possible to track the length of any type of feature that perturbs the fields in the vicinity of a singularity, such as a damaged zone, or a void. The present work focuses on the experimental measurement of blunted tip radii and short cracks on PMMA plates in compression and containing a rhombus hole. [1]: Rethoré, J. and Estevez, R., Crack tip fields, Cohesive model, DIC, Inverse problem, Identification. Journal of the Mechanics and Physics of Solids, Vol. 61, 2013. [2]: Leguillon, D., Determination of the length of a short crack at a v-notch from a full field measurement. International Journal of Solids and Structures, Vol. 48 (6), 2011.