A Statistical Framework for Generating Microstructures of Two-Phase Random Materials: Application to Fatigue Analysis - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Année : 2020

A Statistical Framework for Generating Microstructures of Two-Phase Random Materials: Application to Fatigue Analysis

(1) , (2) , (3) , (4) , (1)
1
2
3
4

Résumé

Random microstructures of heterogeneous materials play a crucial role in the material macroscopic behavior and in predictions of its effective properties. A common approach to modeling random multiphase materials is to develop so-called surrogate models approximating statistical features of the material. However , the surrogate models used in fatigue analysis usually employ simple mi-crostructure, consisting of ideal geometries such as ellipsoidal inclusions, which generally does not capture complex geometries. In this paper, we introduce a simple but flexible surrogate microstructure model for two-phase materials through a level-cut of a Gaussian random field with covariance of Matérn class. Such parametrization of the covariance function allows for the representation of a few key design parameters while representing the geometry of inclusions in a more general setting for a large class of random heterogeneous two-phase media. In addition to the traditional morphology descriptors such as porosity, size and aspect ratio, it provides control of the regularity of the inclusions interface and sphericity. These parameters are estimated from a small number of real material images using Bayesian inversion. An efficient process of evaluating the samples, based on the Fast Fourier Transform, makes possible the use of Monte-Carlo methods to estimate statistical properties for the quantities of interest in a given material class. We demonstrate the overall framework of the use of the surrogate material model in application to the uncertainty quantification in fatigue analysis, its feasibility and efficiency, and its role in the microstructure design.
Fichier principal
Vignette du fichier
final_draft.pdf (4.59 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02447357 , version 1 (21-01-2020)

Identifiants

Citer

Ustim Khristenko, Andrei Constantinescu, Patrick Le Tallec, J. Tinsley Oden, Barbara I Wohlmuth. A Statistical Framework for Generating Microstructures of Two-Phase Random Materials: Application to Fatigue Analysis. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2020, 18 (1), pp.21-43. ⟨10.1137/19M1259286⟩. ⟨hal-02447357⟩
54 Consultations
54 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More