Options
Adaptive finite element phase-field simulation of dynamic brittle fracture
Citation Link: https://doi.org/10.15480/882.16378
Publikationstyp
Journal Article
Date Issued
2025-12-16
Sprache
English
TORE-DOI
Volume
450
Article Number
118642
Citation
Computer Methods in Applied Mechanics and Engineering 450: 118642 (2026)
Publisher DOI
Scopus ID
Publisher
Elsevier
In finite element analysis, mesh refinement is typically employed to improve accuracy by increasing spatial resolution in regions with steep solution gradients. This study presents an adaptive mesh refinement technique for dynamic fracture simulation based on the phase-field method. A multi-level node distance function is introduced using the phase-field variable to control mesh density. As damage evolves, the nodal spacing is adaptively refined according to the prescribed maximum spacing; whenever the computed distance exceeds this threshold, a new field node is introduced at the element center, ensuring the mesh evolves consistently with crack propagation. In addition, material damping effects are incorporated into the phase-field formulation to capture realistic dynamic fracture responses. Time integration is investigated using the Newmark scheme, the generalized-α method, and the backward implicit approach. The results indicate that, while the first two schemes are commonly applied, the backward implicit method provides superior stability in dynamic simulations. Furthermore, a staggered solution strategy is proposed in which both displacement and phase-field variables are iteratively and consistently updated within each solution step. The effectiveness of the proposed methodology is demonstrated through three numerical examples. The responses of elastic energy, kinetic energy, and energy dissipated by crack propagation are evaluated, together with the effects of material damping. The results confirm that the presented approach significantly improves computational efficiency while preserving accuracy and exhibits robust convergence behavior in highly dynamic fracture simulations.
Subjects
Adaptive mesh refinement
Damping effects
Dynamic fracture
Finite element method
Phase-field method
DDC Class
620.11: Engineering Materials
518: Numerical Analysis
Publication version
publishedVersion
Loading...
Name
1-s2.0-S0045782525009144-main.pdf
Size
8.96 MB
Format
Adobe PDF