Communication Dans Un Congrès Année : 2025

Statistical Inverse Identification of a Stochastic Phase-Field Model for Brittle Fracture in Random Heterogeneous Elastic Materials

Résumé

This work deals with the statistical inverse identification of a stochastic phase-field model for brittle fracture in random heterogeneous elastic media. Within the framework of linear elasticity theory and probability theory, a stochastic model for almost surely isotropic random elasticity fields is constructed using the maximum Entropy (MaxEnt) principle [1, 2] to perform stochastic phase-field fracture simulations. In this work, we consider one of the most widely used phase-field models for brittle fracture of isotropic elastic materials [3] which is classically parameterized by the fracture toughness (or critical energy release rate) and the regularization length (controlling the phase-field/damage localization bandwith). A sensitivity analysis is conducted to investigate the impact of some fracture properties (fracture toughness) and some hyperparameters (dispersion coefficient and spatial correlation length) involved in the stochastic model of random elasticity field on the crack path and the global forcedisplacement response. Finally, a statistical inverse identification method based on a nonparametric Bayesian approach is proposed to estimate the posterior probability distribution of random fracture toughness. The relevance of the proposed approach is assessed on two-dimensional benchmark problems for brittle fracture of a single-edge notched/cracked square domain subjected to (i) a uniaxial tensile test and (ii) a pure shear test. REFERENCES [1] J. Guilleminot and C. Soize. On the Statistical Dependence for the Components of Random Elasticity Tensors Exhibiting Material Symmetry Properties. Journal of Elasticity, 111(2):109-130, 2013. [2] C. Soize. Uncertainty Quantification: An Accelerated Course with Advanced Applications in Computational Engineering, volume 47 of Interdisciplinary Applied Mathematics. Springer International Publishing, 2017. [3] C. Miehe, M. Hofacker, and F. Welschinger. A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits. Computer Methods in Applied Mechanics and Engineering, 199(45):2765–2778, 2010.

ICOSSAR_2025_presentation.pdf (32.32 Mo) Télécharger le fichier
abstract.pdf (54.6 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-05106236 , version 1 (10-06-2025)

Identifiants

  • HAL Id : hal-05106236 , version 1

Citer

Florent Pled, Christophe Desceliers. Statistical Inverse Identification of a Stochastic Phase-Field Model for Brittle Fracture in Random Heterogeneous Elastic Materials. 14th International Conference on Structural Safety and Reliability (ICOSSAR 2025), University of Southern California (USC), Jun 2025, Los Angeles California, United States. ⟨hal-05106236⟩
125 Consultations
43 Téléchargements

Partager

  • More