Acta Mechanica Sinica

, Volume 6, Issue 4, pp 357–366 | Cite as

A multi-dimensional composite model for plastic continua under polyaxial loading condition

  • Liang Naigang
  • Pal G. Bergan


By replacing a medium with reinforcing components oriented and distributed uniformly in a multi-dimensional space, a constitutive model is constructed. The components are extended/compressed compatibly with the strain and the resultant of load exerted on them to balance the stress. Their load-elongation relation can be determined from a conventional material test. Each component undergoes different elongation history depending on its own orientation during deformation, so that the model can simulate elasto-plastic behavior of materials under polyaxial loading conditions. The incremental constitutive matrix has been derived for application in numerical analysis and a yield criterion is also introduced. A few subsequent yield surfaces have been predicted and compared with experiments.

Key Words

plasticity constitutive relationship 


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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1990

Authors and Affiliations

  • Liang Naigang
    • 1
  • Pal G. Bergan
    • 2
  1. 1.Institute of MechanicsChinese Academy of SciencesBeijingP.R. China
  2. 2.A. S. Veritas ResearchOsloNorway

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