Skip to Main content Skip to Navigation
Journal articles

An efficient matrix-free preconditioned conjugate gradient based multigrid method for phase field modeling of fracture in heterogeneous materials from 3D images

Abstract : In this paper, we present a new and efficient strategy to perform 3D computational fracture modeling from computed tomography (CT) images. The image-based fracture modeling creates a new way to more accurately predict fracture in realistic structures. However, it is currently complex and expensive to perform such simulations. In this work, we propose to use a matrix-free type preconditioned conjugate gradient solver based multigrid method to achieve the fastest numerical performance for phase field modeling of fracture. Several specific methods are investigated to enhance the robustness and to improve the efficiency of the proposed strategy. An automatic load control strategy to control crack propagation is investigated. High performance computing is applied using a hybrid MPI/OpenMP strategy. With all of the proposed procedures, the phase field modeling of fracture can be performed in the real 3D microstructure of heterogeneous materials using tomographic images.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03381620
Contributor : Julien Réthoré Connect in order to contact the contributor
Submitted on : Sunday, October 17, 2021 - 3:19:58 PM
Last modification on : Monday, November 22, 2021 - 3:40:11 PM

File

NumericalFracture.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - NonCommercial 4.0 International License

Identifiers

Citation

Xiaodong Liu, Julien Réthoré, Antonius Lubrecht. An efficient matrix-free preconditioned conjugate gradient based multigrid method for phase field modeling of fracture in heterogeneous materials from 3D images. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2022, 388, ⟨10.1016/j.cma.2021.114266⟩. ⟨hal-03381620⟩

Share

Metrics

Record views

95

Files downloads

101