A Two-Surface Plastic Model for Concrete and Geomaterials

  • J. C. Chern
  • F. B. Lin
  • A. H. Marchertas
Conference paper


A constitutive model based on the elastic-plastic formulation coupled with the critical state theory used in soils is presented. A conventional elastic-plastic model is applied to represent the structural behavior up to the maximum strength capacity of material. Beyond this point, the modified critical state theory is used to simulate the material response. In this way, the softening (or hardening) of the material can be accounted for. The softening (or hardening) of the material is facilitated by the shrinkage (or expansion) of a limiting surface in the stress space. This surface is assumed to coincide with the failure surface at the maximum strength of material. It is derived with the help of the five-parameter Willam-Warnke failure surface. The shape of the limiting surface has the same angular dependence as the failure surface of the deviatoric plane. In the meridian plane, the shape is assumed to be that of a slanted ellipse. The described constitutive model is very simple, requiring a minimum of experimental data for input. It is applicable to concrete, geomaterials, and other materials which have different strengths in tension and compression.


Constitutive Model Failure Surface Meridian Plane Elliptic Surface Stress Invariant 
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Copyright information

© Springer Japan 1986

Authors and Affiliations

  • J. C. Chern
    • 1
  • F. B. Lin
    • 2
  • A. H. Marchertas
    • 3
  1. 1.National Taiwan UniversityTaipei, TaiwanChina
  2. 2.Northwestern UniversityEvanstonUSA
  3. 3.Argonne National LaboratoryArgonneUSA

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