A Study of a Variety of Sands in Stress-dilatancy Relationships

각 종 모래의 Stress-dilatancy 관계에 관한 연구

  • 박춘식 (창원대학교 토목공학과) ;
  • 장정욱 (청주대학교 지구환경시스템공학부)
  • Published : 2002.02.01

Abstract

Anisotropy of stiffness, from extremely small strains to post-failure strains, of isotropically consolidated air-pluviated sands in plane strain compression was studied by using the newly developed instrumentation fur small strain measurements, Seven types of sand of world-wide origins were tested, which have been extensively used for research purposes. Stress-strain relationships for a wide range of strain from about 0.0001% to the peak were obtained by measuring axial and lateral strains locally free from the effects of bedding and membrane penetration errors at the specimen boundaries. The result showed that the relationship between the principal stress ratio and the principal strain increment ratio was constant, being rarely affected by the over-consolidation ratio and the confining pressure. Although in the small strain the anisotropy hardly affected the relationship between the principal stress ratio and the principal strain increment ratio, the K value around the peak varied according to the $\delta$ value. In general, Rowe\`s stress-dilatancy equation works fairly well from the small strain to the peak.

공중낙하법에 의해 만든 등방압밀 모래공시 체를 미소변형률 측정장치를 사용한 평면변형률압축시험을 실시하여 미소변형률에서 파괴후까지의 응력-다이레이턴시(stress-dilatancy) 관계를 연구하였다. 세계 각국의 주요 연구기관에서 사용되고 있는 7종류의 연구용 표준사 공시체를 멤브레인의 관입에 의한 오차와 변위를 외부에서 측정함으로 하여 생기는 오차(bedding error) 등의 영향을 제거하여 측정한 최대주응력방향의 변형률과 최소주응력방향의 변형률을 각각 0.0001%에서 파괴 시까지의 응력-변형률 관계를 얻었다. 그 결과 미소변형률 수준에서 파괴 시가지의 주응력비-주변헝률증분비 관계는 과압밀비 및 구속압에 거의 영향을 받지 않고 동일하였다. 또한 미소변형률에서는 이방성이 주응력비-주변형률증분비 관계에 미치는 영향은 거의 없지만, 파괴 부근에서의 K값의 크기는 $\delta$에 따라 다른 값을 나타내었다. 한편, K값은 모래의 종류에 따라 다른 값을 나타내었다. 전체적으로 Rowe의 응력-다이레이턴시식은 미소변형를에서 파괴까지 근사적으로 성립한다는 것을 알았다.

Keywords

References

  1. 한국지반공학회지 v.10 no.1 평면 변형률 압축상태에서의 모래의 미소 변형률 측정 박춘식;龍岡文夫;장정욱;정진교
  2. 대한토목학회논문집 v.18 no.3-5 입상체의 요소시험에 있어서 단면마찰 경감 박춘식;장정욱
  3. 한국지반공학회지 v.13 no.5 평면 변형률 압축시험에 의한 각종 모래의 강도 · 변형특성의 이방성 박춘식
  4. 日本東京大學大學院修士論文 微小 ひずみレベルにおける平面ひずみ壓縮での砂の變形特性 安部文洋
  5. 生産硏 v.44 no.5 砂と礫の實內せん斷試驗における斷面摩擦輕減 朴春植;後藤聰;龍岡文夫
  6. 日本東京大學大學院博士論文 平面ひずみ壓縮 試驗による各種の砂の變形 · 强度特性 朴春植
  7. Geotechnique v.22 no.1 Inherent Anisotropy in a Sand Arthur, J.R.F.;Menzies, B.K. https://doi.org/10.1680/geot.1972.22.1.115
  8. Geotechnique v.27 no.1 Induced Anisotropy in a Sand Arthur, J.R.F.;Chua,K.S.;Dunstan, T. https://doi.org/10.1680/geot.1977.27.1.13
  9. Geotechnique v.38 no.4 The Engineering Application of Direct and Simple Shear Testing Arthur, J.R.F.;Dunstan, T. https://doi.org/10.1680/geot.1988.38.4.651
  10. Soils and Foundations v.31 no.1 A Simple Gauge for Local Small Strain Measurements in the Laboratory Goto, S.;Tatsuoka, F.;Shibuya, S.;Kim, Y.S.;Sato, T. https://doi.org/10.3208/sandf1972.31.169
  11. Soils and Foundations v.17 no.3 Effects of Grain Size and Grading on Dynamic Shear Moduli of Sands Iwasaki, T.;Tatsuoka, F. https://doi.org/10.3208/sandf1972.17.3_19
  12. Soils and Foundations v.28 no.1 Effects of Intial Anisotropic Fabric and σ₂on Strength and Deformation Characteristics of Sand Lam, W. K.;Tatsuoka, F. https://doi.org/10.3208/sandf1972.28.89
  13. Soils and Foundations v.12 no.1 Initial Fabrics and their Relations to Mechanical Properties of Granular Material Oda, M. https://doi.org/10.3208/sandf1960.12.17
  14. Soils and Foundations v.18 no.1 Experimental Study on Anisotropic Shear Strength of Sand by Plane Strain Test Oda, M.;Koishikawa, I.;Higuchi, T. https://doi.org/10.3208/sandf1972.18.25
  15. Journal of GE Div., Proc. of ASCE v.107-GT9 Anisotropic Strength of Cohesionless Sands Oda, M.
  16. SEISAN-KENKYU v.42 no.10 Strength and Deformation Anisotropy of Dense Silver Leighton Buzzard Sand in Plane Strain Compression Park, C.S.;Tatsuoka, F.;Shibuya, S.
  17. Proceedings of 25th Annual Meeting of Japanese Society of Soil Mechanics and Foundation Engineering Anisotropy in Deformation and Strength of Silver Leighton Buzzard sand by Plane Strain Compression Tests Park, C.S.;Shinmei, S.;Tatsuoka, F.;Shibuya, S.
  18. Proceeding of 26th Annual Meeting of Japanese Society of Soil Mechanics and Foundation Engineering Anisotropy in Strength and Deformation of Sand by Plane Strain Compression Tests Park, C.S.;Takeda, E.;Tatsuoka, F.
  19. Proceeding of 27th Annual Meeting of Japanese Society of Soil Mechanics and Foundation Engineering Anisotropy in Strength and Deformation Characteristics of Dense Sands in Plane Strain Compression Park, C.S.;Sakata, J.;Tatsuoka, F.
  20. Soils and Foundations v.26 no.1 Strength and Deformation Characteristics of Sand in Plane Strain Compression at Extremely Low Pressures Tatsuoka, F.;Sakamoto, M.;Kawamura, T.;Fukushima, S. https://doi.org/10.3208/sandf1972.26.65