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Investigation of the Landslip by the Bifurcation Theory and the Finite Element Method using Incompatible Elements

Research Project

Project/Area Number 11450181
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Geotechnical engineering
Research InstitutionKanazawa University

Principal Investigator

YATOMI Chikayoshi  Kanazawa University, Faculty of Engineering, Department of Civil Engineering, Professor, 工学部, 教授 (90135541)

Co-Investigator(Kenkyū-buntansha) TAMURA Takeshi  Kyoto University, Faculty of Engineering, Department of Civil Engineering, Professor, 大学院・工学研究科, 教授 (30026330)
ASAOKA Akira  Nagoya University, Faculty of Engineering, Department of Civil Engineering, Professor, 大学院・工学研究科, 教授 (50093175)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2001: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2000: ¥2,000,000 (Direct Cost: ¥2,000,000)
KeywordsBifurcation Theory / Shear Band / Finite Element Method / Incompatible Element / Cam-clay Model / Finite Deformation Theory / Implicit Method / Cam-Clayモデル / 有限実形理論
Research Abstract

1) Bifurcation Analysis in a Circular Cylinder of Coaxial and Non-coaxial Cam-clay Models. We obtain the exact solutions for all diffuse modes under symmetric and anti-symmetric deformation for coaxial and non-coaxial Cam-clay model., We find that, for a non-coaxial model, the bifurcation loads for all modes exist and nearly equal for a compressive test; however, the load for an extended test takes its minimum in a - constriction mode. These results agree well with the experimental deformation pattern of saturated clays. We then find that for a non-coaxial model, judging from the distributions of the maximum strain, the predicted net-like slip planes agree well with the observed slip pattern in the compressive test of clays. We find also, for a coaxial model, the bifurcation load for an ax symmetric bulging mode, which is often observed in the experiments, does not exist. This shows that the non-coaxial terms are indispensable to investigate the landslip.
2) Finite Element Method Analysis of Soil/Water Couping Problems using an Implicit Calculation Algorithm. We develop a new method of implicit, finite element analysis of soil / water coupling problems in a well-known Cam-clay model. The implicit return mapping scheme is based on the elastic predictor and the plastic corrector. Some examples of the implicit method show the high accuracy and much reducing the total CPU time.
3) Finite Element Analysis with the Incompatible Elements and the Examination of the Accuracy. As a basic research on the landslip, we developed a strong discontinuity finite element analysis with the displacement discontinuity inside the elements, which solutions are mesh-independent. We then estimate the method by means of verifying the accuracy of the fracture energy by using the E-integral. As a result, we find that the strong discontinuity analysis is high accurate in view of the fracture energy.

Report

(4 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (65 results)

All Other

All Publications (65 results)

  • [Publications] 阿部孝弘 他3名: "エネルギ解法率破壊基準による長さの異なる平行き裂の進展挙動について"材料. (印刷中). (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 杉本環 他2名: "不連続面が折れ曲がる場合の強不連続解析の精度検証に関する研究"材料. (印刷中). (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 阿部孝弘 他3名: "圧縮混合モード荷重下における脆性材料のき裂進展挙動"材料. (印刷中). (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 矢富盟祥 他1名: "陰解法弾塑性計算アルゴリズムを用いた微小変形土/水練成有限要素法解析"応用力学論文集. Vol.3. 345-356 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 矢富盟祥: "連続体力学のエッセンス-その芽生えから非線形連続体力学の確立まで-"土木学会誌. 8月号. 21-26 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 志比利秀 他2名: "平面ひずみ非排水圧縮条件下における供試体寸法の変化が正規圧縮粘土の分岐荷重に及ぼす影響"土木学会論文集. 666/III. 181-192 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 鱸洋一 他1名: "圧縮荷重下におけるモードII型き裂進展に関する破壊力学的考察"応用力学論文集. Vol3.. 25-35 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 杉本環 他2名: "経路不変積分を用いた強不連続解析の精度検証に関する研究"応用力学論文集. Vol3.. 351-362 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 橋本堅一 他3名: "鉄筋コンクリート梁部材内のき裂の変形および進展挙動に関する研究"構造工学論文集. Vol.46A. 299-308 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Katoh 他4名: "Ground Deformation Mechanism around a shield Tunnel by the passage of the Tail Void"Proc. of the Second International Symposium on Pre-Failure Deformation Characteristics of Geomaterials-IS Torino 99, Torino, Italy. 725-730 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 橋本堅一 他3名: "空隙の干渉を受ける破壊き裂の進展特性に関する研究"破壊力学シンポジウム論文集. Vol.10. 121-126 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 橋本堅一 他3名: "圧縮荷重下にある3次元材料内き裂からの破壊き裂進展に関する実験的検討"破壊力学シンポジウム論文集. Vol.10. 97-101 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 志比利秀 他1名: "Cam-clayモデルを用いた2層弾塑性体の分岐解析"応用力学論文集. Vol.2. 371-382 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 橋本堅一 他2名: "鉄筋コンクリート梁内のき裂の進展挙動と破壊モードに関する研究"応用力学論文集. Vol.2. 21-28 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 矢富盟祥 他1名: "圧縮荷重下にある進展き裂のE積分によるエネルギ解法率の有限要素解析"土木学会論文集. 612/I-46. 251-263 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] C.Yatomi: "Conditions for the Localization of Deformation in Finite Elastic-Plastic Deformations"Proc. of the 4th International Workshop on Localization and Bifurcation Theory for Soil and Rocks, Gifu, Japan. 209-218 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 阿部孝弘 他2名: "主き裂先端近傍に平行干渉き裂が存在する場合のE積分によるエネルギ解法率の数値解析"材料. Vol.47No.10. 1059-1064 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 志比利秀 他1名: "有限変形非共軸Cam-clayモデルによる中空円柱供試体の非軸対称分岐解析"応用力学論文集. Vol.1. 537-546 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 阿部孝弘 他2名: "主き裂の進展が抑制される位置関係における平行干渉き裂の進展挙動について"応用力学論文集. Vol.1. 55-63 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 鱸 洋一 他1名: "荷重履歴に伴う摩擦力が存在する進展き裂のE積分の有限要素解析"応用力学論文集. Vol.1. 45-53 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 阿部孝弘 他2名: "片側き裂先端近傍に平行干渉き裂が存在する場合のエネルギ解放率によるき裂進展挙動の考察"日本機械学会論文集. Vol.64No.623. 85-90 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] C.Yatomi 他1名: "On the Energy Release Rate by the Path-Independent E-Intergral and J-intergral for Quasi-Static Creak Growth"Theoretical Studies on Fracture Mechanics in Japan. 87-98 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Abe: "The Extension Behavior of-Parallel Cracks Based on the Energy Release Rate Criterion"Journal of the Society of Material Science. in print. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Sugimoto: "On the Examination of the Strong Discontinuity Analysis for a Kinking Discontinuous Surface"Journal of the Society of Material Science. in print. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Abe: "Crack extension behavior in the brittle material under compress1on mixed mode loadings"lournal of the Society of Material Science. in print. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] C. Yatomi: "Finite element method analysis of soil/water coupling problems using implicit elasto-plastic calculation algorithm"Journal of Applied Mechanics. Vol. 4. 345-356 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Shibi: "Influences of Aspect Rate on the Bifurcation Analysis for a Normally Consolidated Clay under the Plane Strain Undefined Compression Loadings"Transaction of the Japan Society of Civil Engineers. No.666. 181-192 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Suzuki: "Mode II crack extension behavior under compressive loads"Journal of Applied Mechanics. Vil. 3. 25-35 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Sugimoto: "On the Examinations of the Strong Discontinuity Analysis by Using the Path Independent Integrals"Journal of Applied Mechanics. Vol. 3. 351-362 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Hashimoto: "On Extension and Deformation Behavior of Fracture Cracks in Reinforced Concrete Member"Journa1 of Structural Mechanics. Vo1. 46A. 299-308 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] C.Yatomi: "Essense on the Continuum Mechanics From the Beginning to the Establishment of Non-linear Continuum Mechanics"Journal of the Japan Society of Civil Engineering. 21-26 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Noda: "Delayed Failure in Soft Clay Foundations"Soil and Foundations. Vol. 40, No. 1. 85-97 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A. Asaoka: "Super1oading Yield Sue face Concept for Highly Structure Soil Behavior"Soil and Foundations. Vo1.40, No.2. 99-110 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A. Asaoka: "Delayed Compression/Consolidation C1ay due' to Degradation of soil Structure"Soil and foundation. Vol.40, No. 3. 75-85 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Katoh: "Ground Deformation Mechanism around a Shield Tunnel by the Passage of the Tail Void"Proc. Of the Second International Symposium on Pre-Failure Deformation Characteristics of Geomaterials-IS Torino. 725-730 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Hashimoto: "On the Extension Behavior of a Crack Interacting with Voids"Journal of Symposium on Fracture Mechanics. Vol.10. 121-126 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Shibi: "Bifurcation Analysis in a Two-layer Cam-clay Model"Journal of Applied Mechanics. Vol. 2. 371-382 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Hashimoto: "On Extension Behavior of Cracks and Its Fracture Mode in Reinforced Concrete Member"Journal of Applied Mechanics. Vol.2. 21-28 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Yatomi: "Finite element analysis of the energy release rate by using the E-integral under the compressive loads"Transaction of the Japan Society of Civil Engineering. No.612,I-46. 251-263 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Hashimoto: "Eiperimental Study on the Crack Extension Behavior under the Three Dimensional Compressive Loads"Journal of Symposium on Fracture Mechanics. Vol.10. 97-101 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] C.Yatomi: "On the Energy Release Rate by the Path Independent E-integra1 and J-integral for Quasi Static Crack Growth"Theoretical Studies on Fracture Mechanics in Japan. 87-98 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Abe: "On the Energy Release Rate of a Crack with a Parallel Crack"Journal of Japan Society of Mechanical Engineers. Vo1. 64, No. 623, A. 85-90 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Suzuki: "Finite element analysis of the E-integral for a frictional crack under the several loading histories"Journal of Applied Mechanics. Vo1. 1. 45-53 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Abe: "Crack Extension Behaviors at the Position that an Extension of Main Crack is Interrupted"Journal of Applied Mechanics. Vol.1. 55-63 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Shibi: "Non-axisymmetrie Bifurcation Ana1ysis in a Hollow Circular Cylinder of a Non-coaxial Cam-c1ay Model"Joumal of Applied Mechanics. Vol. 1. 537-546 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Abe: "E-integral Analysis of a Crack with Parallel Interacting Cracks"Journal of the Society of Material Science. Vol. 47, No. 10. 1059-1064 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] C.Yatomi: "Conditions for the Localization of Deformation in Finite Elastic-Plastic Deformations"Proc. Of the 4th international Workshop on Localization and Bifurcation Theory for Soil and Rocks, Gifu, Japan. 209-218 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 杉本環他2名: "不連続面が折れ曲がる場合の強不連続解析の精度検証に関する研究"材料. (掲載可). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 阿部孝弘他3名: "エネルギ開放率規準による長さの異なる平行き裂の進展学動について"材料. (掲載可). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 阿部孝弘他3名: "圧縮混合モード下における脆性材料のき裂進展学動"材料. (掲載可). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 矢富盟祥他1名: "陰解法弾塑性アルゴリズムを用いた微小変形土/水連成有限要素解析"応用力学論文集. Vol.4. 345-356 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 志比利秀他2名: "平面ひずみ非排水圧縮条件下における供試体寸法の変化が分岐荷重に及ぼす影響"土木学会論文集. 666/III3. 181-192 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] 杉本環他2名: "経路不変積分を用いた強不連続解析の精度検証に関する研究"応用力学論文集. Vol.3. 351-362 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] 志比利秀 他2名: "平面ひずみ非排水圧縮条件下における供試体寸法比の変化が正規圧密粘土の分岐荷重に及ぼす影響"土木学会論文集. No.666 III-53. 181-192 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 矢富盟祥: "連続体力学のエッセンス-その芽生えから非線形連続体力学の確立まで-"土木学会誌. 21-26 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 杉本環 他2名: "経路不変積分を用いた強不連続解析の精度検証に関する研究"応用力学論文集. Vol.3. 351-362 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 鱸洋一 他1名: "圧縮荷重下におけるモードII型き裂進展に関する破壊力学的考察"応用力学論文集. Vol.3. 25-35 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 橋本堅一 他3名: "鉄筋コンクリート梁部材内の破壊き裂の変形および進展挙動に関する研究"構造工学論文集. Vol.46A. 299-308 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 矢富盟祥 他1名: "圧縮荷重下にある進展き裂のE積分によるエネルギ解放率の有限要素解析"土木学会論文集. No.612 I-46. 251-263 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yasuhiro Katoh,他4名: "Ground deformation mechanism around a shield tunnel by the passage of the tail boid"Proc. of the 2nd Int. Nat. Synpo. on Pre-failure deformation. 725-730 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 矢富盟祥他1名: "Cam-clayモデルを用いた2層弾塑性体の分岐解析"応用力学論文集. Vol.2. 371-382 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 橋本他2名: "鉄筋コンクリート梁内のき裂の進展挙動と破壊モードに関する研究"応用力学論文集. Vol.2. 15-19 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] C.Yatomi: "Conditions for the Localization of Deformation infinite Elastic-Plastic Deformations"Proc. of 4th Int. Conf. on Localization and Bifurcation Theory. 209-218 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] C.Yatomi 他1名: "On the energy release rate by the Path/Independent E-integral and J-integral for Quasi-Static Crack Growth"Theoretical Studies on Fracture Mechanics. Vol.1. 87-98 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] C.Yatomi 他1名: "Antisymmetric Bifurcation Analysis in a Circular Cylinder of a Non-Cruxial Cam-Clay model"Proc. of the Int. Symp. on Deformation and Failure. 9-64 (1997)

    • Related Report
      1999 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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