Finite element modeling of porous titanium

H. Shen, L. C. Brinson*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

92 Scopus citations


The porous microstructures of metallic foams cause microscopic stress and strain localization under deformation which reduces the damage tolerance and therefore limits application of the materials. In this paper, the deformation of a relatively low porosity porous titanium is examined using two-dimensional (2D) plane strain and three-dimensional (3D) finite element models to identify the accuracy and limitations of such simulations. To generate the finite element models, a simulated microstructure was created based on micrographs of an experimental material. Compared to the 2D models, the 3D models require smaller model size to obtain convergent results. The macroscopic responses predicted by the 3D models are in reasonable agreement with experimental results while the 2D models underestimated the response. In addition, 3D models predicted more uniform microscopic field variable distributions. 2D models predicted higher probability of Von Mises stress and equivalent plastic strain exceeding a certain value and therefore overestimate the failure probability of the material.

Original languageEnglish (US)
Pages (from-to)320-335
Number of pages16
JournalInternational Journal of Solids and Structures
Issue number1
StatePublished - Jan 1 2007


  • Finite element analysis
  • Microstructure
  • Plastic strain distribution
  • Porous titanium
  • Von Mises stress distribution

ASJC Scopus subject areas

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


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