An enriched phase-field method for the efficient simulation of fracture processes

Research output: Contribution to journalResearch articleContributedpeer-review


The efficient simulation of complex fracture processes is still a challenging task. In this contribution, an enriched phase-field method for the simulation of 2D fracture processes is presented. It has the potential to drastically reduce computational cost compared to the classical phase-field method (PFM). The method is based on the combination of a phase-field approach with an ansatz transformation for the simulation of fracture processes and an enrichment technique for the displacement field as it is used in the extended finite element method (XFEM) or generalised finite element method (GFEM). This combination allows for the application of significantly coarser meshes than it is possible in PFM while still obtaining accurate solutions. In contrast to classical XFEM / GFEM, the presented method does not require level set techniques or explicit representations of crack geometries, considerably simplifying the simulation of crack initiation, propagation, and coalescence. The efficiency and accuracy of this new method is shown in 2D simulations.


Original languageEnglish
Number of pages25
JournalComputational mechanics
Issue number5
Publication statusPublished - 4 Mar 2023

External IDs

Scopus 85149265475
WOS 000943623200001
Mendeley 6b5d7292-ea24-33b7-bb3d-85fb6284082b
ORCID /0000-0002-9407-6633/work/142240930



  • Brittle fracture, Crack propagation, Enrichment, Phase-field, Xfem, XFEM