Parameter identification of a phase-field fracture model using integrated digital image correlation

authored by: V. Kosin, A. Fau, C. Jailin, F. Hild, T. Wick
Abstract: Phase-field fracture (PFF) modeling is a popular approach to model and simulate fracture processes in solids. Accurate material parameters and boundary conditions are of utmost importance to ensure a good prediction quality of numerical simulations. In this work, an Integrated Digital Image Correlation (IDIC) algorithm is proposed to calibrate boundary conditions, Poisson's ratio, fracture energy and internal length, all at once, by using the phase-field model itself and images of a deforming sample. The presented approach is applied to virtual experiments mimicking a single edge notched shear test and implemented in the open-source deal.II-based software pfm-cracks and the digital image correlation library Correli 3.2. The reliability of the results is investigated for different levels of acquisition noise, thereby demonstrating high robustness and accuracy for a wide range of noise levels. The conditioning of the problem is analyzed via sensitivity fields for all parameters and the eigendecomposition of the Hessian matrix used in the IDIC algorithm.
Organisation(s): Institute of Applied Mathematics
External Organisation(s): École normale supérieure Paris-Saclay (ENS Paris-Saclay)
GE Healthcare, France
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 420
ISSN: 0045-7825
Publication date: 15.02.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, General Physics and Astronomy, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.cma.2023.116689 (Access: Closed)

BibTeX

@article{aa007bcd0de84b2f94e66a912f838512,
title = "Parameter identification of a phase-field fracture model using integrated digital image correlation",
abstract = "Phase-field fracture (PFF) modeling is a popular approach to model and simulate fracture processes in solids. Accurate material parameters and boundary conditions are of utmost importance to ensure a good prediction quality of numerical simulations. In this work, an Integrated Digital Image Correlation (IDIC) algorithm is proposed to calibrate boundary conditions, Poisson's ratio, fracture energy and internal length, all at once, by using the phase-field model itself and images of a deforming sample. The presented approach is applied to virtual experiments mimicking a single edge notched shear test and implemented in the open-source deal.II-based software pfm-cracks and the digital image correlation library Correli 3.2. The reliability of the results is investigated for different levels of acquisition noise, thereby demonstrating high robustness and accuracy for a wide range of noise levels. The conditioning of the problem is analyzed via sensitivity fields for all parameters and the eigendecomposition of the Hessian matrix used in the IDIC algorithm.",
keywords = "Conditioning, Digital image correlation (DIC), Phase-field fracture modeling, Sensitivity analysis",
author = "V. Kosin and A. Fau and C. Jailin and F. Hild and T. Wick",
note = "Funding Information: The financial support of the French–German University through the French–German Doctoral college “Sophisticated Numerical and Testing Approaches” ( CDFA-DFDK 19-04 ) is acknowledged. Discussions are acknowledged within the framework of the International Research Training Group on Computational Mechanics Techniques in High Dimensions GRK 2657 funded by the German Research Foundation (DFG) under Grant Number 433082294 . ",
year = "2024",
month = feb,
day = "15",
doi = "10.1016/j.cma.2023.116689",
language = "English",
volume = "420",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}