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

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Abstract

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.

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Authors and Affiliations

  1. Institute of Mechanics, Chinese Academy of Sciences, 100080, Beijing, P.R. China

    Liang Naigang

  2. A. S. Veritas Research, Hϕuik, P. O. Box 300, N-1322, Oslo, Norway

    Pal G. Bergan

Authors
  1. Liang Naigang
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  2. Pal G. Bergan
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Naigang, L., Bergan, P.G. A multi-dimensional composite model for plastic continua under polyaxial loading condition. Acta Mech Sinica 6, 357–366 (1990). https://doi.org/10.1007/BF02486895

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  • DOI: https://doi.org/10.1007/BF02486895

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