An h-adaptive thermo-mechanical phase field model for fracture

Hojjat Badnava, Mohammed A. Msekh, Elahe Etemadi, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

112 Citations (Scopus)


In this work, brittle fracture and thermo-mechanical induced cracks are simulated using a phase field model in 2D and 3D continua in homogeneous and heterogeneous materials. The phase field model for fracture has specific regulations regarding the finite element mesh size. Therefore, a mesh refinement algorithm by adopting a predictor-corrector mesh refinement strategy is used in both applications of mechanical and thermo-mechanical fracture models. Several mechanical and thermo-mechanical examples are presented in this work to prove the capability of the proposed numerical implementation. The multi-field problems are solved using a staggered solution algorithm with and without the parallelization of the system equations. The simulation times of the tested specimens are compared for different meshing criteria, adaptive refinement, pre-refinement of the expected crack path, and the global refinement of the specimen.

Original languageEnglish
Pages (from-to)31-47
Number of pages17
JournalFinite Elements in Analysis and Design
Publication statusPublished - 2018 Jan 1
Externally publishedYes


  • Brittle fracture
  • Mesh refinement
  • Phase field model
  • Thermal induced cracks
  • Thermo-mechanical fracture

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics


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