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Theoretical study and numerical analysis of continuum mechanics

Research Project

Project/Area Number 10440035
Research Category

Grant-in-Aid for Scientific Research (B).

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionHiroshima Kokusai Gakuin University

Principal Investigator

OHTSUKA Kohji  Faculty of Engineering, Hiroshima Kokusai Gakuin Univ. Professor, 工学部, 教授 (30141683)

Co-Investigator(Kenkyū-buntansha) SUMI Yoichi  Faculty of Engineering, Yokohama National University Professor, 工学部, 教授 (80107367)
KISHIMOTO Kikuo  Graduate School of Sciences and Engineering, Tokyo Institute of Technology Professor, 工学部, 教授 (30111652)
KAKO Takashi  Faculty of Electro-Communications, Univ.of Electro-Communications Professor, 電気通信学部, 教授 (30012488)
YATOMI Chikayoshi  Faculty of Engineering, Kanazawa University Professor, 工学部, 教授 (90135541)
NISHIOKA Toshihisa  Ocean Mechanical Engineering, Kobe University of Mercantile Marine Professor, 商船学部, 教授 (60018067)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥7,800,000 (Direct Cost: ¥7,800,000)
Fiscal Year 2000: ¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 1999: ¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 1998: ¥2,600,000 (Direct Cost: ¥2,600,000)
KeywordsMathematical Research / Fracture phenomena / Theoretical Researches / Numerical analysis / Finite Element Method / Solver of 2 dimensional PDE
Research Abstract

1. The workshop "Theoretical research and numerical analysis on fracture phenomena" was held three times for three years (1998-2000) with about 30 participants and 12 speakers in each workshop. Their travel expenses and lodging charges are supported by this research funds. In this workshop, mathematicians and theoretical researchers on fracture mechanics joined and discussed each other on fracture phenomena after interesting lectures. The first workshop was held in 27-29 Jan.1995 and the recent workshop was 6th in 10-12 Nov.2000.
2. The applicant have been the member of FreeFem+ project whose leader is Prof.Pironneau belonging to Paris University 6. Another member is Frederic Hecht in Paris VI.We publish FreeFem+ in the site "http : //www-rocq.inria.fr/Frederic.Hecht/FreeFemPlus.htm". My main part is the user interface for MS-Windows version of FreeFem+. Now I making the visualization tool "vffem" for FreeFem+ that shows the level lines, 3 dimensional graph with shading, wire frame etc. This software has been constructed by OpenGL (GLUT) and using C++. I will publish "vffem" in near future.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (35 results)

All Other

All Publications (35 results)

  • [Publications] K.Ohtsuka and A.Khiudnev: "Generalized J-integral for sensitivity analysis of static shape design"Control and Cybernetis. 29. 514-533 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 鱸洋一,矢富盟祥,: "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. 3. 25-35 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Shen and T.Nishioka: "A unified method for subsonic and intersonic crack growth along an anisotropic bimaterial interface"Journal of the Mechanics and Physics and Solids. 48. 2257-2282 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sumi and Y.Mu: "Thermally induced quasi-static wavy crack propagation in a brittle solid,"Mechanics of Materials. 32. 531-542 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Hayabusa,H.Inoue,K.Kishimoto and T.Shibuya: "Improvement of Accuracy of Inverse Analysis for Stress Separation in Thermoelastic Stress Analysis"JSME International Journal Series A. 43・4. 305-313 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Taniguchi: "On the use of Delaunay triangulation as 3D finite element modeler"Journal Faculty Environmental Science and Technology. 5. 99-106 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Ohtsuka and A.Khludnev: "Generalized J-integral for sensitivity analysis of static shape design"Control and Cybernetics. 29. 514-533 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Ohtsuka, O.Pironneau and F.Frederic: "Theoretical and numerical analysis of energy release rate in 2D fracture"INFORMATION. 3. 303-315 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Kako and T.Kano: "Finite element method for the Helmholtz equation and numerical simulation of the wave propagation in vocal tract, Advances in Numerical Mathematics"GAKUTO Internat.Ser.Math.Sci.Appl.. 12. 55-63 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Miyoshi: "Direction and curvature of the cracks in two-dimensional elastic bodies"Japan Journal of Industrial and Applied Mathematics. 12. 295-307 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.T.Nakao, S.H.Lee and C.S.Ryoo: "Numerical verification of solutions for elasto-plastic torsion problems"Computers and Mathematics with Applications. 39. 195-204 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Toyonaga and M.T.Nakao: "Numerical enclosure for the optimal threshold probability in discounted Markov decision processes."Bulletin of Informatics and Cybernetics. 32. 81-90 (2000)

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

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Shen and T.Nishioka: "A unified method for subsonic and intersonic crack growth along an anisotropic bimaterial interface"Journal of the Mechanics and Physics and Solids. 48. 2257-2282 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Sumi and Y.Mu: "Thermally induced quasi-static wavy crack propagation in a brittle solid"Mechanics of Materials. 32. 531-542 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Hayabusa, H.Inoue, K.Kishimoto and T.Shibuya: "Improvement of Accuracy of Inverse Analysis for Stress Separation in Thermoelastic Stress Analysis"JSME International Journal Series A. 43. 305-313 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Taniguchi: "On the use of Delaunay triangulation as 3D finite element modeler"Journal Faculty Environmental Science and Technology. 5. 99-106 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Ohtsuka and A.Khludnev: "Generalized J・integral for sensitivity analysis of static shape design"Control and Cybernetics. 29. 514-533 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 鱸洋一,矢富盟祥,: "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. 3. 25-35 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.Shen and T.Nishioka: "A unified method for subsonic and intersonic crack growth along an anisotropic bimaterial interface"Journal of the Mechanics and Physics and Solids. 48. 2257-2282 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Sumi and Y.Mu: "Thermally induced quasi-static wavy crack propagation in a brittle solid,"Mechanics of Materials. 32. 531-542 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Hayabusa,H.Inoue,K.Kishimoto and T.Shibuya: "Improvement of Accuracy of Inverse Analysis for Stress Separation in Thermoelastic Stress Analysis"JSME Internatinal Journal Series A. 43・4. 305-313 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Taniguchi: "On the use of Delaunay triangulation as 3D finite element modeler"Journal Faculty Environmental Science and Technology. 5. 99-106 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 大塚 厚二: "楕円型混合境界値問題における協会及び接合点に関する形状微分とその数値解析"日本応用数理学会論文誌. 9. 77-94 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] F.Chiba and T.Kako: "Satability and error analyses by energy estimate for Newmark's method"Research Report NIFS-PRO Series. 40. 82-91 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Nishioka and A.Yasin: "The Dynamic J Integral,Separated Dynamic J Integrals and Moving Finite Element Simulations,for Subsonic,Transonic and Supersonic Interfacial Crack Progation"JSME International Journal,Series A. 42・1. 25-39 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Kawamura,Y.Mu,and Y.Sumi: "Develop,emt of an automatic quadrilateral mesh generator for the simulation of curved crack growth"Trasactions of the Japan Society for Computational Engineering and Science. 1999002. 1-6 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Hiroya Ito: "Optimal Korn's inequalities for divergence-free vector fields with application to incompressible linear elastodvniamics"Japan J.Ind.Appl.Math. 16. 101-121 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] G.Nakamura,K.Tanuma and G.Uhlmann: "Layer stripping for a transversely isotropic ekastic medium"SIAM Journal on Applied Mathematics. 59・5. 1879-1891 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Ohtsuka and M.Bochniak: "Shape Sensitivity Analysis of Stress Intensity Factors by Generalized J-integrals" Mathematical Methods in the Applied Sciences. 21・14. 1343-1363 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 劉 小進,加古 孝: "領域分割法を用いたヘルムホルツ方程式に対する反復解法" 日本応用数理学会論文誌. 8・4. 435-446 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 早房啓祐,岸本喜久雄,井上裕嗣,渋谷寿一: "熱弾性応力測定における主応力分離のための境界要素逆解析" 境界要素論文集. 15. 23-28 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.Sumi and Z.N.Wang: "A finite-element simulation method for a system of growing cracks in a heterogeneous material" Mechanics of Materials. 28. 197-206 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Nishioka,T.and Wang,Z.M: "The T^* Integral and the Separated T^* Integrals for Elastic-Plastic Interfacial Cracks" Constitutive and Damage Modeling of Inelastic Deformation and Phase Transformatiom,(A.S.Khan,editor). 741-744 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 矢富盟祥,鱸 洋一: "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. 612・I-46. 251-263 (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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