• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Development of Supporting System of Design of the Functionally Graded Materialsand its Constitutional Equations

Research Project

Project/Area Number 06650101
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

NODA Naotake  Shizuoka University, Faculty of Engineering, Professor, 工学部, 教授 (20022238)

Co-Investigator(Kenkyū-buntansha) TSUJI Tomoaki  Shizuoka University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (80188531)
Project Period (FY) 1994 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1996: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1995: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1994: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsElasto-Plasticity / Thermal Stresses / Functionally Gradient Materials / Constitutional Equation / Nonhomogeneous Body / Crack / Stress Intensity Factor / Finite Element Method
Research Abstract

This research project consists of two parts : [1] Study of constitutional equations of the functionally graded materials (FGMs) under thermal load, [2] Developments of programming system to release the thermal stresses in FGMs with and without a crack by Finite Element Methods (FEM).
PART [1] : Study of constitutional equations of the functionally graded materials (FGMs) under thermal load. The functionally graded materials (FGMs) are consisted by compositional components of the ceramics and metals. Then, FGMs can be considered as one of the composite materials which its compositional components dependent on the position. The constitutional equations are proposed for the functionally graded materials taking into consideration of thermal load. The equations are developed by an incremental theory which describes the thermal elasto-plastic behavior and damage behavior of particulate-reinforced composites, based on Eshelby's solution of an ellipsoidal inclusion and Mori-Tanaka's conception … More of average stress-strain for the finite concentration of particles under thermal load.
PART [2] : Developments of programming system to release the thermal stresses in FGMs with and without a crack by Finite Element Methods (FEM).
(1) We could develop programming system to discuss the thermal stresses in the FGMs by used of the proposed constitutional equations.
(2) The stress-strain curves are calculated for the matrix and the particle by used of the proposed constitutional equations. Even if the average stress is zero, large compressible stress occurs in the matrix, but large tensile stress occurs in the particle. The stress-strain curves largely depend on the manufacturing process of the FGMs.
(3) From the results of calculation for the time variation of the stress intensity factor of the functionally graded plate with an edge crack under heating-cooling cycle heat supply, we obtained the following results. The region of the large stress intensity factor is restricted within a very thin layr, and length of crack growth is restricted within one time tenth of the thickness of the plate. The optimal composition of the component of FGMs is linear distribution from the ceramics to the metal. Less

Report

(4 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • 1994 Annual Research Report
  • Research Products

    (54 results)

All Other

All Publications (54 results)

  • [Publications] Z Jin and N.Noda: "Transient Thermal Stress Intensity Factors for a Crack in a Semi-Infinite Plate of a Functionally Gradient Material" Int. J. Solids and Structures. 31(2). 203-218 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Noda and Z Jin: "A Crack in Functionally Gradient Materials under Thermal Shock" Archiv of Applied Mechanics. 64(2). 99-110 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 野田直剛、革志和: "き裂を有す不均質材料の熱応力場における応力特異性" 日本機械学会論文集,A編. 60(572). 921-925 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 浅川厚志、野田直剛、東郷敬一郎、辻知章: "粒子分散型複合材の熱応力構成式" 日本機械学会論文集,A編. 60(575). 1632-1637 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Obata and N.Noda: "Steady Thermal Stresses in a Hollow Circular Cylinder and a Hollow Sphere of Gradient a Functionally Material" Journal of Thermal Stresses. 17. 471-487 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Z Jin and N.Noda: "Edge Crack in a Nonhomogeneous Half Plane under Thermal Loading" Journal of Thermal Stresses. 17(4). 591-599 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Z Jin and N.Noda: "Crack-Tip Singular Fields in Functionally Gradinet Materials" Journal of Applied Mechanics. 61(3). 738-740 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Noda and Z.Jin: "Stress Singularity of Nonhomogeneous Body with Crack in Thermal Stress Filds" JSME International Journal,Series A. 38(3). 364-369 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Noda: "Thermal Stresses in Functionally Gradient Materials" Int. J. of The Society of Materials Engineering for Resources. 3(1). 95-114 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 小畑良洋,野田直剛: "傾斜機能平板の定常熱応力(温度条件の一般化)" 名古屋工業技術研究所報告. 45(3). 134-144 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Nemat-Alla and N.Noda: "Thermal Stress Intensity Factor for Functionally Gradient Half Space with and Edge Crack under Thermal Load" Archive of Applied Mechanics. 66(8). 569-580 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Obata and N.Noda: "Optimum Material Design for Functionally Gradient Material Plate" Archive of Applied Mechanics. 66(8). 581-589 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 野田直剛、倉田哲男、渕山隆、辻知章、小畑良: "き裂を有する傾斜機能平板の熱応力解析" 日本機械学会論文集,A編. 62(601). 2015-2020 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Nemat-Alla and N.Noda: "Study of an Edge Crack Problem in a Semi-infinite Functionally Graded Medium with Two Dimensionally Nonhomogeneous Coefficient of Thermal Expansion under Thermal Load" Journal of Thermal Stresses. 19(9). 863-888 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Z.Jin and N.Noda: "Transient Thermal Stress Intensity Factors for a Crack in a Semi-Infinite Plate of a Functionally Gradient Material." Int.J.Solids and Structures. Vol. 31, No. 2. 203-218 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Noda and Z.Jin: "A Crack in Functionally Gradient Materials under Thermal Shock." Archiv of Applied Mechanics. Vol.64, No.2. 99-110 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Noda and Z.Jin: "Stress Singularity of Nonhomogeneous Body with Crack in Thermal Stress Fields." JSME,Series A. Vol.60, No.572. 921-925 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] A.Asakawa, N.Noda, K.Thogo and T.Tsuji: "Constitutional Equations of Thermal Stress of Particle-Reinforced Composite" JSME,Series A. Vol.60, No.575. 1632-1637 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Obata and N.Noda: "Steady Thermal Stresses in a Hollow Circular Cylinder and a Hollow Sphere of a Functionally Gradient Material." Journal of Thermal Stresses. Vol.17, No.3. 471-487 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Z.Jin and N.Noda: "Edge Crack in a Nonhomogeneous Half Plane under Thermal Loading." Journal of Thermal Stresses. Vol.17, No.4. 591-599 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Z.Jin and N.Noda: "Crack-Tip Singular Fields in Functionally Gradient Materials" Journal of Applied Mechanics. Vol.61, No.3. 738-740 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Noda and Z.Jin: "Stress Singularity of Nonhomogeneous Body with Crack in Thermal Stress Fields." JSME International Journal, Series A. Vol.38, No.3. 364-369 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Noda: "Thermal Stresses in Functionally Gradient Materials." Int.J.of The Society of Materials Engineering for Resources. Vol.3, No.1. 95-114 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Obata and N.Noda: "Thermal Stresses in a Functionally Gradient Material Plate" Reports of the National Industrial Research Institute of Nagoya. Vol.45, No.3. 135-144 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Nemat-Alla and N.Noda: "Thermal Stress Intensity Factor for Functionally Gradient Half Space with and Edge Crack under Thermal Load." Archive of Applied Mechanics. Vol.66, No.8. 569-580 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Obata and N.Noda: "Optimum Material Design for Functionally Gradient Material Plate." Archive of Applied Mechanics. Vol.66, No.8. 581-589 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] N.Noda, T.Kurata, T.Fuchiyama, T.Tsuji and Y.Obata: "Thermal Stress Analysis in Functionally Gradient Plate with a Crack." JSME,Series A. Vol.62, No.601. 2015-2020 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Nemat-Alla and N.Noda: "Study of an Edge Crack Problem in a Semi-infinite Functionally Graded Mediumwith Two Dimensionally Nonhomogeneous Coefficient of Thermal Expansion under Thermal Load." Journal of Thermal Stresses. Vol.19, No.9. 863-888 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Z.Jin and N.Noda: "Transient Thermal Stress Intensity Factors for a Crack in a Semi-Infinite Plate of a Functionally Gradient Material" Int.J.Solids and Structures. 31(2). 203-218 (1994)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Noda and Z.Jin: "A Crack in Functionally Gradient Materials under Thermal Shock" Archiv of Applied Mechanics. 64(2). 99-110 (1994)

    • Related Report
      1996 Annual Research Report
  • [Publications] 野田直剛、革志和: "き裂を有する不均質材料の熱応力場における応力特異性" 日本機械学会論文集,A編. 60(572). 921-925 (1994)

    • Related Report
      1996 Annual Research Report
  • [Publications] 浅川厚志、野田直剛、東郷敬一郎、辻知章: "粒子分散型複合材の熱応力構成式" 日本機械学会論文集,A編. 60(575). 1632-1637 (1994)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y.Obata and N.Noda: "Steady Thermal Stresses in a Hollow Circular Cylinder and a Hollow Sphere of Gradient a Functionally Material" Journal of Thermal Stresses. 17. 471-487 (1994)

    • Related Report
      1996 Annual Research Report
  • [Publications] Z.Jin and N.Noda: "Edge Crack in a Nonhomogeneous Half Plane under Thermal Loading" Journal of Thermal Stresses. 17(4). 591-599 (1994)

    • Related Report
      1996 Annual Research Report
  • [Publications] Z.Jin and N.Noda: "Crack-Tip Singular Fields in Functionally Gradient Materials" Journal of Applied Mechanics. 61(3). 738-740 (1994)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Noda and Z.Jin: "Stress Singularity of Nonhomogeneous Body with Crack in Thermal Stress Fields" JSME International Journal,Series A. 38(3). 364-369 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Noda: "Thermal Stresses in Functionally Gradient Materials" Int.J.of The Society of Materials Engineering for Resources. 3(1). 95-114 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] 小畑良洋,野田直剛: "傾斜機能平板の定常熱応力(温度条件の一般化)" 名古屋工業技術研究所報告. 45(3). 134-144 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Nemat-Alla and N.Noda: "Thermal Stress Intensity Factor for Functionally Gradient Half Space with and Edge Crack under Thermal Load" Archive of Applied Mechanics. 66(8). 569-580 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y.Obata and N.Noda: "Optimum Material Design for Functionally Gradient Material Plate" Archive of Applied Mechanics. 66(8). 581-589 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 野田直剛、倉田哲男、渕山隆、辻知章、小畑良: "き裂を有する傾斜機能平板の熱応力解析" 日本機械学会論文集,A編. 62(601). 2015-2020 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Nemat-Alla and N.Noda: "Study of an Edge Crack Problem in a Semi-infinite Functionally Graded Medium with Two Dimensionally Nonhomogeneous Coefficient of Thermal Expansion under Thermal Load" Journal of Thermal Stresses. 19(9). 863-888 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Noda and Z.Jin: "Stress Singularity of Nonhomogeneous Body with Crack in Thermal Stress Fields" JSME International Journal Series A. 38(3). 364-369 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] N.Noda: "Thermal Stresses in Functionally Gradient Materials" Int, J. of The Society of Materials Engineering for Resources. 3-1. 95-114 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 野田直剛: "傾斜機能材料の熱応力" 日本機械学会関西支部第70期定時総会講演講演会フォーラム・ワークショップ資料集. 102-113 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y.Obata and N.Noda: "Transient Thermal Stresses in a Hollow Sphere of Functionally Gradient Material" Proc. First Int. Sympo. Thermal Stresses and Related Topics. 335-338 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] S.Nakai,N.Noda,K.Tohgo,T.Tsuji and T.Koizumi: "Thermo-Elasto-Plastic Analysis in Functionally Gradient Materials of Particle Reinforced Composite" Proc. First Int. Sympo. Thermal Stresses and Related Topics. 351-354 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 野田直剛: "傾斜機能材料の熱応力解析法" 日本機械学会 材料力学部門企画特別講演会. 921-925 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 野田直剛: "機傾斜機能材料の熱応力問題" 日本機械学会 講演論文集 全国大会講演会. No.940-30. 122-123 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] N.Noda: "Thermal Stresses in Functionally Gradient Materials" 2nd Int.Conf.on Materials Engng for Resources. 210-220 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] A.Asakawa&N.Noda: "Thermo-elastic Constitutive Equations of Particle Reinforced Composite" 2nd Int.Conf.on Materials Engng for Resources. 67-68 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] N.Noda: "Thermal Stresses-Fracture in Functionally gradient Plate" JSSUME'95,Fracture Mechanics and Related Topics. 47-57 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 野田直剛: "機傾斜機能材料の熱応力問題" 日本機械学会 講演論文集 計算力学講演会. No.940-54. 19-20 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 倉田哲男,辻知章,野田直剛: "き裂を有する機傾斜機能平板の熱応力解析" 日本機械学会 講演論文集 計算力学講演会. No.940-54. 23-24 (1994)

    • Related Report
      1994 Annual Research Report

URL: 

Published: 1994-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi