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Significance and Usefulness of the tij Concept

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Desiderata Geotechnica

Part of the book series: Springer Series in Geomechanics and Geoengineering ((SSGG))

Abstract

Constitutive models formulated using the stress invariants (p and q) cannot describe uniquely the deformation and strength of geomaterials under three principal stresses [1]. Then, the concept of tij has been proposed to describe uniquely the stress-strain behaviors in general three-dimensional (3D) stress conditions [2]. This concept was found out from the idea that the frictional law essentially governs soil behavior. Since the formulation of elastoplastic model using this concept was described in the previous papers [3, 4], the meaning of this concept and its usefulness are presented in this paper.

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References

  1. Schofield, A.N., Wroth, C.P.: Critical State Soil Mechanics. McGrow-Hill, London (1968)

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  2. Nakai, T., Mihara, Y.: A new mechanical quantity for soils and its application to elastoplastic constitutive models. Soils Found. 24(2), 82–94 (1984)

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  3. Nakai, T., Hinokio, T.: A simple elastoplastic model for normally and over consolidated soils with unified material parameters. Soils Found. 44(2), 53–70 (2004)

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  6. Matsuoka, H., Nakai, T.: Stress-deformation and strength characteristics of soil under three different principal stresses. Proc. JSCE 232, 59–70 (1974)

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  7. Oda, M.: The mechanism of fabric changes during compressional deformation of sand. Soils Found. 12(2), 1–18 (1972)

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  8. Satake, M.: Anisotropy in ground and soil materials. Tsuchi Kiso 32(11), 5–12 (1984, in Japanese)

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  9. Satake, M.: Fabric tensor in granular materials. In: Proceedings of IUTAM Conference on Deformation and Failure of Granular Materials, Delft, pp. 63–68 (1982)

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Correspondence to Teruo Nakai .

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Nakai, T. (2019). Significance and Usefulness of the tij Concept. In: Wu, W. (eds) Desiderata Geotechnica. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-030-14987-1_15

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  • DOI: https://doi.org/10.1007/978-3-030-14987-1_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-14986-4

  • Online ISBN: 978-3-030-14987-1

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