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Geotechnical Predictions and Practice in Dealing with Geohazards pp 229–239Cite as

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

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Part of the book series: Geotechnical, Geological and Earthquake Engineering ((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.

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References

  • Koiter WT (1953) Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface. Q Appl Math 11:350–354

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  • Roscoe KH, Schofield AN, Thurairajah A (1963) Yielding of clays in states wetter than critical. Geotechnique 13(3):211–240

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  • 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 306–315

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, Tokyo Institute of Technology, 2-12-1 O-okayama, 152-8552, Meguro-ku, Tokyo, Japan

    Tomohide Takeyama

  2. Global Scientific Information and Computer Center, Tokyo Institute of Technology, 2-12-1 O-okayama, 152-8550, Meguro-ku, Tokyo, Japan

    Thirapong Pipatpongsa

  3. Research Center for Urban Safety and Security, Kobe University, 1-1 Rokkodai, 657-8501, Nada-ku, Kobe, Hyogo, Japan

    Atsushi Iizuka

  4. Research and Development Initiative, Chuo University, 1-13-27 Kasuga, 112-8551, Bunkyo-ku, Tokyo, Japan

    Hideki Ohta

Authors
  1. Tomohide Takeyama
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  2. Thirapong Pipatpongsa
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  3. Atsushi Iizuka
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  4. Hideki Ohta
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Corresponding author

Correspondence to Tomohide Takeyama .

Editor information

Editors and Affiliations

  1. , Dept of Civil, Construction & Env. Eng., Iowa State University, Town Engineering Building 328, Ames, 50011, Iowa, USA

    Jian Chu

  2. , Department of Civil Engineering, Diponegoro University, Jl. Hayam Wuruk 5-7, Semarang, 50241, Indonesia

    Sri P.R. Wardani

  3. , Department of Civil Engineering, Kobe University, Rokkodai, Nada-ku 1-1, Kobe, 657-8501, Hyogo, Japan

    Atsushi Iizuka

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© 2013 Springer Science+Business Media Dordrecht

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Takeyama, T., Pipatpongsa, T., Iizuka, A., Ohta, H. (2013). Stress–Strain Relationship for the Singular Point on the Yield Surface of the Elasto-Plastic Constitutive Model and Quantification of Metastability. In: Chu, J., Wardani, S., Iizuka, A. (eds) Geotechnical Predictions and Practice in Dealing with Geohazards. Geotechnical, Geological and Earthquake Engineering, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5675-5_15

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