Stress–Strain Relationship for the Singular Point on the Yield Surface of the Elasto-Plastic Constitutive Model and Quantification of Metastability

  • Tomohide Takeyama
  • Thirapong Pipatpongsa
  • Atsushi Iizuka
  • Hideki Ohta
Chapter
Part of the Geotechnical, Geological and Earthquake Engineering book series (GGEE, volume 25)

Abstract

In this chapter, the stress–strain relationship on the singular point of the yield surface of the original Cam clay model and the Sekiguchi-Ohta’s model is derived in order to compute the volume change correctly. Metastable space, the range of increment of strain in which effective stress does not get away from the singular point of yield surface, was theoretically derived. In metastable space, the increment of volumetric strain is larger than the increment of deviatoric strain.

Keywords

Singular Point Effective Stress Yield Surface Volumetric Strain Strain Increment 
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References

  1. Koiter WT (1953) Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface. Q Appl Math 11:350–354Google Scholar
  2. Roscoe KH, Schofield AN, Thurairajah A (1963) Yielding of clays in states wetter than critical. Geotechnique 13(3):211–240CrossRefGoogle Scholar
  3. Sekiguchi H, Ohta H (1977) Induced anisotropy and time dependency in clays, constitutive equation of soils. In: Proceedings of specialty session 9, 9th international conference on soil mechanics and foundation engineering, Tokyo, 1977, pp 306–315Google Scholar
  4. Shibata T (1963) On the volume changes of normally consolidated clays. Annuals of Disaster Prevention Research Institute, Kyoto University, Kyoto, No. 6, pp 128–134Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Tomohide Takeyama
    • 1
  • Thirapong Pipatpongsa
    • 2
  • Atsushi Iizuka
    • 3
  • Hideki Ohta
    • 4
  1. 1.Department of Civil EngineeringTokyo Institute of TechnologyMeguro-ku, TokyoJapan
  2. 2.Global Scientific Information and Computer CenterTokyo Institute of TechnologyMeguro-ku, TokyoJapan
  3. 3.Research Center for Urban Safety and SecurityKobe UniversityNada-ku, KobeJapan
  4. 4.Research and Development InitiativeChuo UniversityBunkyo-ku, TokyoJapan

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