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Derivation of Constitutive Equation for Describing Cyclic Deformation in Terms of Dislocation Dynamics and Its Application to Fatigue under Multiaxial Stress Loading.

Research Project

Project/Area Number 07455055
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Materials/Mechanics of materials
Research InstitutionYAMAGUCHI UNIVERSITY

Principal Investigator

HATANAKA Kenji  YAMAGUCHI UNIVERSITY,MECHANICAL ENGINEERING,PROFESSOR, 工学部, 教授 (60026193)

Co-Investigator(Kenkyū-buntansha) OGAWA Hisashi  UBE COLLEGE OF TECHNOROGY,ASSOCIATE PROFESSOR, 助教授 (10043887)
OHGI Junji  YAMAGUCHI UNIVERSITY,MECHANICAL ENGINEERING,RESEARCH ASSOCIATE, 工学部, 助手 (80223965)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥7,300,000 (Direct Cost: ¥7,300,000)
Fiscal Year 1996: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1995: ¥6,500,000 (Direct Cost: ¥6,500,000)
KeywordsConstitutive Equation / Dislocation Dynamics / Fatigue Crack / Deformation in vicinity of Crack Tip / Crack Opening-Closure / Elastic-plastic Finite Element Method / Multiaxial Stress / き裂開口挙動
Research Abstract

In the present study, the stress-strain field was calculated in the vicinity of the crack tip by means of the elastic-plastic finite-element method in annealed through-thickness-cracked copper specimens, where the constitutive equation derived on the basis of dislocation dynamics by the authors was modified to apply to cyclic loading analysis with large deformation. The analysis was carried out under cyclic loading at stress ratio R_<sigma>=-1. Then special attention was given to the strain and crack opening-closing behaviors with the cyclic hardening during first a few cycles. At the same time, calculated behaviors were compared with the test result measured by means of the grid method. The main results obtained are summarized as follows.
(1) The cyclic hardening behavior was expressed quantitatively by the elastic-plastic finite-element method, using the constitutive equation derived on the basis of dislocation dynamics modified to apply to the large deformation.
(2) From the load-controlled cyclic test, a cyclic strain range in the vicinity of the crack tip tended to decrease to the stable constant value with an increase in the number of stress cycles.
(3) The calculated localized deformation behavior in the vicinity of the crack tip quantitatively and qualitatively described the test results very well. It suggested that this constitutive equation is effective to describe these behaviors.
(4) The stress-strain hysteresis loop of the element that is located at the minimum cross section ahead of crack tip and variation of stress/strain distribution was shown by means of F.E.M.analysis. These result were in probable agreement with those obtained experimentally in (3).

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] 幡中憲治: "銅環状切欠材の繰返し応力-ひずみ応答の数値解析" 日本機械学会論文集 A編. 62-596. 1008-1016 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 幡中憲治: "荷重および変位制御繰返し変形下におけるき裂先端近傍の局所ひずみの計測とそれに基づく疲労き裂進展過程の検討" 日本機械学会論文集 A編. 61-588. 1730-1738 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Hatanaka: "An Analysis of Cyclic Stress-Strain Response and Fatigue Life Assessment of Notched Cylindrical Components" ASME Proc.of Fatigue and Crack Growth. Vol.306. 87-93 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Hatanaka: "Localized Strain Behaviors around Crack Tip during Load Cycling and Fatigue Crack Extension Process" Proc.of the 10th Int.Conf.on Experimental Mechanics. 1127-1136 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 幡中憲治: "き裂先端近傍のひずみ計測に基づく単一過大荷重による疲労き裂の遅延現象の検討" 日本機械学会論文集 A編. 59-567. 2531-2539 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Hatanaka: "A Numerical Calculation of Cyclic Deformation Accompanied by Strain Range Variation and Subsequent ot Tensile Deformation in Terms of Dislocation Dynamics in Copper" JSME International Journal Ser.A. 36-3. 267-275 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Hatanaka, A.Kakumoto and Y.Ishimoto: "Numerical Calculations of Cyclic Stress-Strain Response in Cylindrical Notched Component of Annealed Copper." Transactions of the Japan Society of Mechanical Engineers A (in Japanese). Vol.62, No.596. 1008-1016 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Hatanaka, T.Ishikawa and T.Uchitani: "Measurement of Localized Strain around Crack Tip under Displacement- and Load-Controlled Cyclic Loadings and Discussion on Crack Extension Process Based on It" Transactions of the Japan Society of Mechanical Engineers A (in Japanese). Vol.61, No.588. 1730-1738 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Hatanaka and A.Kakumoto: "An Analysis of Cyclic Stress-Strain Response and Fatigue Life Assessment of Notched Cylindrical Components." ASME Proc.of Fatigue and Crack Growth. Vol.306. 87-93 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Hatanaka and T.Ishikawa: "Localized Strain Behaviors around Crack Tip during Load Cycling and Fatigue Crack Extension Process." Proc.of the 10th Int.Conf.on Experimental Mechanics. 1127-1136 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Hatanaka and T.Ishikawa: "Localized Strain Measurments around Crack Tip Induced by Single Peakoverload and Retardation of Fatigue Crack Extension in Copper." Transactions of the Japan Society of Mechanical Engineers A (in Japanese). Vol.59, No.567. 2531-2539 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Hatanaka and Y.Sumigawa: "A Numerical Calculation of Cyclic Deformation Accompanied by Strain Range Variation and Subsequent ot Tensile Deformation in Terms of Dislocation Dynamics in Copper" JSME International Journal Ser.A. Vol.36, No.3. 267-275 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 幡中憲治: "銅環状切欠材の繰返し応力-ひずみ応答の数値解析" 日本機械学会論文集 A編. 62-596. 1008-1016 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 幡中憲治: "荷重および変位制御繰返し変形下におけるき裂先端近傍の局所ひずみの計測とそれに基づく疲労き裂進展過程の検討" 日本機械学会論文集 A編. 61-588. 1730-1738 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] K.Hatanaka: "An Analysis of Cyclic Stress-Strain Response and Fatigue Life Assessment of Notched Cylindrical Components" ASME Proc.of Fatigue and Crack Growth. Vol.306. 87-93 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] K.Hatanaka: "Localized Strain Behaviors around Crack Tip during Load Cycling and Fatigue Crack Extension Process" Proc.of the 10th Int.Conf.on Experimental Mechanics. 1127-1136 (1994)

    • Related Report
      1996 Annual Research Report
  • [Publications] 幡中憲治: "き裂先端近傍のひずみ計測に基づく単一過大荷重による疲労き裂の遅延現象の検討" 日本機械学会論文集 A編. 59-567. 2531-2539 (1993)

    • Related Report
      1996 Annual Research Report
  • [Publications] K.Hatanaka: "A Numerical Calculation of Cyclie Deformation Accompanied by Strain Range Variation and Subsequent ot Tensile Deformation in Terms of Dislocation Dynamics in Copper" JSME International Journal Ser.A. 36-3. 267-275 (1993)

    • Related Report
      1996 Annual Research Report
  • [Publications] 幡中憲治: "荷重および変位制御繰返し変形下におけるき裂先端近傍の局部的ひずみの計測とそれに基づく疲労き裂進展過程の検討" 日本機械学会論文集 A編. 61-588. 1730-1738 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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