Application of continuum damage mechanics in discontinuous crack formation: Forward extrusion chevron predictions

Celal Soyarslan*, A. Erman Tekkaya, Ugurhan Akyuz

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

38 Citations (Scopus)


Materializing Continuum Damage Mechanics (CDM), numerical modeling of discrete internal cracks, namely central bursts, in direct forward extrusion process is presented. Accordingly, in a thermodynamically consistent setting, a local Lemaitre variant damage model with quasi-unilateral evolution is coupled with hyperelastic-plasticity. The formulations are constructed in the principal axes where simultaneous local integration schemes are efficiently developed. To this end, the framework is implemented as ABAQUS/VUMAT subroutine to be used in an explicit FE solution scheme, and utilized in direct forward extrusion simulations for bearing steel, 100Cr6. Discontinuous cracks are obtained with the element deletion procedure, where the elements reaching the critical damage value are removed from the mesh. The periodicity of the cracks shows well accordance with the experimental facts. The investigations reveal that, application of the quasi-unilateral conditions together with the crack closure parameter has an indispensable effect on the damage accumulation zones by determining their internal or superficial character.

Original languageEnglish
Pages (from-to)436-453
Number of pages18
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Issue number6
Early online date19 May 2008
Publication statusPublished - Jun 2008
Externally publishedYes


  • Damage coupled elasto-plasticity
  • Finite elements
  • Finite strain
  • Fracture mechanisms (formation of central bursts)
  • n/a OA procedure


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