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Investigation of the Stress-Focusing Effect and Determination of Stress Focusing Intensity Factor

Research Project

Project/Area Number 07650096
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

HATA Toshiaki  Shizuoka University, Faculty of Education, Professor, 教育学部, 教授 (40005351)

Project Period (FY) 1995 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1997: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1996: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1995: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsThermal Stresses / Thermal Shock / Stress Focusing / Elasticity / Stress Waves / Stress Focusing Intensity Factors / 弾性波 / 波線法 / 波絆法
Research Abstract

The stress-focusing effect is the phenomenon that, under an instantaneous heating, stress waves reflected from the free surface of the sphere or the cylinder result in very high stresses at the center, even though the initial thermal stress is relatively small. This plenomenon may be observed in the solid spheres subjected to the spherical symmetric heating and in the solid cylinders subjected to the cylindrical symmetric feating. This type of heating may be caused by the absorption of electromagnetic radiant energy or laser rays.
This paper reviews recent extensions of the analytical methods for the problem of thermal shock in spheres and cylinders, especially, for the problem of thermal stress-focusing effect in spheres and cylinders. First, considering the problem of thermal shock in a hollow sphere subjected to the rapid uniform heating, if the ratio of the outer radius to the inner radius of the sphere increases, the peak tangential stress at the internal surface becomes higher and higher. As a limit case, for a solid sphere, it might be possible to observe the stress-focusing effect.
Next, as for the analysis of a long cylindrical rod due to the instantaneous heating, stress waves also show the stress-focusing effect. While the method of ray theory is effective in the analysis of stress-focusing effect in a sphere, the method of ray series is effective in the analysis of stress-focusing effect in a cylinder. Therefore, the major accomplishment of this study has been in gaining a better understanding of the stress-focusing effect in the solid spheres and long cylindrical rods.
In this study, analyzing the behavior of the stress focusing effect in a sphere, we introduce the stress focusing intensity factor S_<Fi>, which is expressed by the relation sigma_i=S_<Fi>/r^3 (i=r, rheta, phi) at the focusing points. This factor denotes the strength of stress focusing.

Report

(4 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • 1995 Annual Research Report
  • Research Products

    (29 results)

All Other

All Publications (29 results)

  • [Publications] 畑 俊明、斉藤 健、: "レーザーを用いた球の熱応力焦点化現象の実験的検証、" 第74期日本機械学会通常総会講演会講演論文集. 97-1. 426-427 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.HATA: "Stress-focusing Effect Due to an Instantaneous Concentrated Heat Source In a Sphere" J.Thermal Stresses. 20. 269-279 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.HATA: "Thermal Stress-Focusing Effect Following Rapid Uniform Heating of Spheres and Long Cylindrical Rods" Proceedings of the Second International Symposium on Thermal Stresses and Related Topics、(key note lecture). 1. 1-16 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.HATA: "Analysis of the Stress-Focusing Effect in a Spherical Inclusion Embedded in an Infinite Elastic Medium," Proceedings of International Conference on Materials and Mechanics ′97、. 1. 567-568 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 畑 俊明、: "無限弾性体中の球状介在物に生ずる熱応力の焦点化現象、" 日本機械学会創立100周年記念北陸信越支部記念講演会講演論文集. 977-1. 61-62 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.HATA: "Thermal Stress-Focusing Effect Following Rapid Uniform Heating of Spheres and Long Cylindrical Rods," J.Thermal Stresses. 20. 819-852 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.HATA,T.SAITOU: "Experimental Study of Stress-Focusing Effect in a Solid Sphere by Using Pulse-Laser" Proceeding of the 47^<th> Symposium on Mechanical Engineering. Vol.97-1. 426-427 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.HATA: "Stress-Focusing Effect Due to an Instantaneous Concentrated Heat Source In a Sphere" J.Thermal Stresses. Vol.20. 269-278 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.HATA: "Stress-Focusing Effect Following Rapid Uniform Heating of Spheres and Long Cylindrical Rods" Proceedings of the Second International Symposium on Thermal Stresses and Related Topics. Vol.1 (key note lecture). 1-16 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.HATA: "Analysis of the Stress-Focusing Effect in an Spherical Inclusion Embedded in an Infinite Elastic Medium" Proceedings of International Conference on Materials and Mechanics. '97, Vol.1. 567-568 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.HATA: "Analysis of the Stress-Focusing Effect in an Spherical Inclusion Embedded in an Infinite Elastic Medium" Proceeding of the 100th Anniversary Conference of the Foundation of the Japan Society of Mechanical Engineering. Vol..977-1. 61-62 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.HATA: "Thermal Stress-Focusing Effect Following Rapid Uniform Heating of Spheres and Long Cylindrical Rods" J.Thermal Stresses. Vol.20. 819-852 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 畑俊明、斉藤健、: "レーザーを用いた球の熱応力焦点化現象の実験的検証、" 第74期日本機械学会通常総会講演会講演論文集. 97-1. 426-427 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.HATA: "Stress-Focusing Effect Due to an Instantaneous Concentrated Heat Source In a Sphere" J.Thermal Stresses. 20. 269-279 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.HATA: "Thermal Stress-Focusing Effect Following Rapid Uniform Heating of Spheres and Long Cylindrical Rods" Proceedings of the Second International Symposium on Thermal Stresses and Related Topics、 (key note lecture). 1. 1-16 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.HATA: "Analysis of the Stress-Focusing Effect in a Spherical Inclusion Embedded in an Infinite Elastic Medium," Proceedings of International Conference on Materials and Mechanics '97、. 1. 567-568 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 畑俊明、: "無限弾性体中の球状介在物に生ずる熱応力の焦点化現象、" 日本機械学会創立100周年記念北陸信越支部記念講演会講演論文集. 977-1. 61-62 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.HATA: "Thermal Stress-Focusing Effect Following Rapid Uniform Heating of Spheres and Long Cylindrical Rods," J.Thermal Stresses. 20. 819-852 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.HATA,: "「Stress-Focusing Effect in a Transversely Isotropic Cylinder Caused by Instantaneous Heating」" JSME Int.J.39A. 362-366 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 畑 俊明、: "衝撃加熱を受ける円柱状電磁弾性体の熱応力波の焦点化現象化現象" 日本機械学会論文集. A編第62巻. 2104-2108 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 畑 俊明: "熱応力の焦点化現象を用いた熱衝撃センサーの開発" 第73期通常総会講演会講演論文集. 96-1. 422-423 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 畑 俊明: "球状介在物を含む無限体に生ずる熱応力の焦点化現象による波動現象" 平成8年度材料力学講演会講演論文集. 96-10. 417-418 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.HATA: "Thermal Stress-Focusing Effect in a Solid Sphere Subjected to Instantaneous Heating" J. Thermal Stresses、. 18. 437-448 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 畑俊明、: "直交異方性円柱に生ずる熱応力波の焦点化現象の解析" 日本機械学会論文集. A編第61巻. 1404-1409 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.HATA,: "The Determination of Stress Focusing Intensity Factor Due to A Spherical Thermal Inclusion in a Sphere" Proceedings of the First International Symposium on Thermal Stresses and Related Topics、. 1. 155-158 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 畑俊明、: "応力波の焦点化とその応用" 日本機会学会 分科会活動報告特別講演会講演論文集. 95-83. 47-50 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 畑俊明: "球に生ずるの熱応力焦点化現象の実験的検証" 第254回日本機械学会関西支部講演会講演論文集,. 1. 138-141 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 畑俊明: "衝撃負荷を受ける円柱の応力焦点化強度係数の解析" 日本機械学会東海支部講演会講演論文集. 953-2. 59-60 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 谷川、畑、野田、中西: "日新出版" 計算力学. 1995. (218)

    • Related Report
      1995 Annual Research Report

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

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