Modeling the ductile damage process in commercially pure titanium

Jinyuan Zhai, Tuo Luo, Xiaosheng Gao, Stephen M. Graham, Madhav Baral, Yannis P. Korkolis, Erik Knudsen

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


This paper presents a constitutive model, which combines the models proposed by Stewart and Cazacu (2011) and Zhou et al. (2014), to describe the ductile damage process in a commercially pure titanium (CP Ti) and to simulate its mechanical response. In particular, a Gurson-type porous material model is modified by coupling two damage parameters, accounting for the void damage and the shear damage respectively, into the yield function and the flow potential. The plastic anisotropy and tension-compression asymmetry exhibited by CP Ti are accounted for by a plasticity model based on the linear transformation of the stress deviator. The theoretical model is implemented in the general purpose finite element software ABAQUS via a user defined subroutine and calibrated using experimental data. Good comparisons are observed between model predictions and experimental results for a series of specimens in different orientations and experiencing a wide range of stress states.

Original languageEnglish
Pages (from-to)26-45
Number of pages20
JournalInternational Journal of Solids and Structures
StatePublished - Aug 1 2016

Bibliographical note

Funding Information:
This research is made possible by funding from the Office of Naval Research (through Naval Research Laboratory) and from the Office of the Secretary of Defense, Technical Corrosion Collaboration program (through NCERCAMP and US Air Force Academy). The authors also acknowledge the assistance of Alexis Lewis for performing the texture scans.

Publisher Copyright:
© 2016 Elsevier Ltd. All rights reserved.


  • Ductile fracture
  • Plastic anisotropy
  • Shear damage
  • Tension-compression asymmetry
  • Void damage

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science (all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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