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Development of nonlinear constitutive models for particle dispersed comosite

Research Project

Project/Area Number 09650107
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Materials/Mechanics of materials
Research InstitutionKyushu Institute of Technology

Principal Investigator

NAKAGAKI Michihiko  Kyushu Institute of Technology, Department of Mechanical System Engineering, Professor, 情報工学部, 教授 (90207720)

Co-Investigator(Kenkyū-buntansha) WU Yadong  Kyushu Institute of Technology, Department of Mechanical System Engineering, Research Associate, 情報工学部, 助手 (60304870)
堀江 知義  九州工業大学, 情報工学部, 助教授 (40229224)
Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 1998: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1997: ¥2,800,000 (Direct Cost: ¥2,800,000)
Keywordsparticle dispersed composite / fiber reinforced composite / MMC / constitutive model / thermal conduction / thermal expansion / equivalent inclusion method / meso-mechanics analysis / 均質化法 / クラスター
Research Abstract

In this research, the effort is made on developing a constitutive model for particle/fiber dispersed composites such as MMC, when either of the composition undergoes nonlinear deformations. In the first year the mixing law was established, and the theory was expanded toward the application in the wide area of the material situation. The objectives of the research was set to : (I) analyze meso-local nonlinear phenomena occurring around the particle such as plastics and damage by FEM ; (II) further extend the particle dispersed composite theory to the nonlinear regime such as plasticity or damage. Moreover, derive a thermal expansion law and a thermal conduction law for the composite ; (III) conduct a uniaxial tension test of the composite material to examine the developed constitutive model ; and (IV) derive a constitutive law for the fiber reinforced composite material, where the orientation of fiber plays an important role on the characteristics of the composite.
Along the objectives s … More tated above, the research was conducted and yielded the following results :
(1) In the present effort, basic theories of with regard to the mixing law, that is the Self-consistent Compliance Method (SCC), and a Localized Rigidity Method (LRM) for the nonlinear constitutive law have been developed. Especially, the development of the latter made, for the first time in this field, the nonlinear constitutive law for the particle dispersed composite possible with an excellent accuracy of the model.
(2) The aspect ratio of the particle in the model was set to be large number in order to model a fiber inclusion in the composite. Since the characteristics of a whisker dispersed composite is sensitive for the fiber orientation, the effect of the fiber orientation is properly accounted in the model.
(3) In addition to the developed constitutive law, a thermal conduction law and a thermal expansion law were also developed based on the SCC model, in the present effort.
(4) To check the accuracy of the theoretical model above, meso-mechanics analyses by a finite element method were performed. Excellent correlations between the models and the analyses were obtained
(5) In order of showing a practical reliability of the developed models, a tensile test of a commercial fiber dispersed composite material with Nylon 66 as the matrix and carbon fiber as the inclusion was conducted. The same material was used to test the thermal conductivity and the thermal expansion characteristics for various volume fractions of the inclusion.
Very good correlations were obtained also between the model and the experiments in all the cases, where the fiber orientation distribution gives a sensitive effect on the composite characteristics.
(6) The works from the present research effort were published in the JSME journal and several proceedings of international conferences, and presented in a number of domestic as well as international conferences. Still several more publications are under way. Less

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (70 results)

All Other

All Publications (70 results)

  • [Publications] 呉亜東、中垣通彦: "微視的特性を考慮した粒子分散複合材料の弾塑性構成則モデル"日本機械学会論文集(A編). 64-620. 197-204 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 呉亜東、中垣通彦: "粒子分散複合材料の構成則モデルとその評価"日本機械学会論文集(A編). 64-622. 212-219 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Michihiko Nakagaki and Yadong Wu: "Elastoplastic constitutive law for particle dispersed composite material accounting for mesoscopic inhomogeneity"Journal of Key Engineering Materials. 145-149. 583-588 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Michihiko Nakagaki,Yadong Wu,and Seiya Hagihara: "Dynamically propagating crack in graded particle dispersed composite modeled by neuro-fuzzy inference"Journal of Key Engineering Materials. 145-149. 333-342 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 菅原光男、瓜田祐輔、片岡稔、萩原世也、中垣通彦: "ニューラルネットワークによる不定形耐火物内張剤の膨張挙動の解析(第1報 非線形有限要素法による不定形耐火物内張剤の強度解析)"Taikabutsu. 50-5. 265-274 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yadong Wu,Michihiko Nakagaki: "Thermo-mechanical property model for particle/fiber reinforced composite"Proceedings of International Conference on Engineering Science 98. II. 1371-1376 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yadong Wu,Michihiko Nakagaki: "Constitutive model of particle dispersed composite in plastic regime"Proceedings of International Conference on Engineering Science 98. II. 2047-2056 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 呉亜東、中垣通彦、小野進、小金丸正明: "短繊維分散複合材料の構成則モデル"計算工学講演会論文集. 3-3. 993-996 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 尾越周平、中垣通彦、呉亜東、松村覚: "形状記憶合金を分散した知的複合材料の構成則と熱衝撃緩和問題への応用"日本機会学会第11回計算力学講演会講演論文集. 481-482 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yadong Wu,Michihiko Nakagaki: "Constitutive law for particle dispersed composite in plastic regime with local rigidity scheme"Proceedings of International Symposium on Strength Theory:Application,,Development & Prospects for 21st Century. 365-370 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 田中慎也、中垣通彦、呉亜東、尾越周平: "LRM粒子分散構成則を用いた傾斜機能材料の熱弾塑性き裂解析"日本機会学会M&M'98材料力学部門講演会. A. 95-96 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 小金丸正明、中垣通彦、呉亜東: "分散繊維強化複合材料のメゾ/マクロ特性"日本機会学会M&M'98材料力学部門講演会. B. 35-36 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Michihiko Nakagaki, Yadong Wu: "Elastoplastic modeling for composite with ellipsoidal inhomogeneities"Proceedings of 4th International Conference on Composites Engineering. 707-708 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Michihiko Nakagaki, Yadong Wu, Takayuki Kasai: "Averaging law in constitututive modeling for phase transforming alloy and its effects on material behavior"Proc. Of Plasticity '97 : 6th International Symposium on Plasticity and Its Current Applications. 167-168 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yadong Wu, Michihiko Nakagaki: "An Elastoplastic constitutive modeling of particle dispersed composite"Proc. International Conference on Material and Mechanics '97, JSME. 57-62 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Michihiko Nakagaki, Yadong Wu, Takayuki Kasai: "An averaging law in constitutive modeling for phase transforming material"Proc. International Conference on Material and Mechanics '97, JSME. 427-428 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Michihiko Nakagaki, Yadong Wu: "Elastoplastic constitutive law for particle dispersed composite material accounting for mesoscopic inhomogeneity"Proceedings of 3rd International Conference on Fracture and Strength of Solids. Part.1. 583-588 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Michihiko Nakagaki, Yadong Wu, and Seiya Hagihara: "Dynamically propagating crack in graded particle dispersed composite modeled by neuro-fuzzy inference"Proceedings of 3rd International Conference on Fracture and Strength of Solids. Part.1. 333-342 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Seiya Hagihara, Michihiko Nakagaki: "Effect of plastocreep-fatigue interaction on creep fatigue crack propagation problem"Proceedings of International Conference on Computational Engineering Science 1997. 6-368 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Mitsuo Sugawar, Hiroshi Kubot, Hiroyuki Miyamoto, Yusuke Urita, Minoru Kataok, Seiya Hagihara, and Michihiko Nakagaki: "A computational method on the analysis of refractory material with the use of neural network and FEM"Proceedings of United International Technical Conference on Refractories 97. 359 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yadong Wu, Michihiko Nakagaki: "Nonlinear Constitutive Model for Short Fiber-reinforced Composite Accounting for Meso-mechanical Stress Interaction between Inclusions"Proceedings of Conference on Computational Engineering and Science 97, 2/2. 1175-1778 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M. Nakagaki, Yadong Wu: "Functionally Graded Material Design with the Use of Grain Dispersed Constitutive Model"Proceedings of 39th JSASS/JSME Structures Conference. 69-72 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M. Nakagaki, Yadong Wu: "Particle Dispersed Model and its Constitutive Law for Fiber Reinforced Composite"Proceedings of IST Industry-Academia Collaborative Research Development Promotion Forum. 32-36 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M. Nakagaki, Yadong Wu, S. Tanaka: "Effective Thermal Conductivity Coefficients for Ellipsoidal Particle Dispersed Composites"Proceedings of 35th Symposium on Strength of Materials at High Temperatures. 45-49 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Hagihara, M. Nakagaki, T. Goto, M. Sugawara, H. Kubota, M. Kataoka: "Finite Element Analysis of Monolithic Refractory Lining for Ladle Subjected to Cyclic Thermal Shocks"Proceedings of 35th Symposium on Strength of Materials at High Temperatures. 1-5 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M. Sugawara, Y. Urita, M. Kataoka, S. Hagihara, M. Nakagaki: "Neural Network Application to the Study of Expansion Behavior of Monolithic Refractory Lining Material ; Nonlinear Finite Element Analysis on Monolithic Refractory Lining Material -- Part I"Taikabutsu. 50/5. 265-274 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Wu, M. Nakagaki: "Constitutive Model for Whisker Reinforced Composite"Proceedings of 75th JSME Spring Annual Meeting. II. 323-324 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Wu, M. Nakagaki: "Constitutive Model for Composites with Particle Dispersed Inclusions"Proceedings of 47th Japan NCTAM Conference. 393-394 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Hagihara, M. Nakagaki, et al.: "Analysis of Castable Lining Material Subjected to Thermal Shock"Proceedings of 47th Japan NCTAM Conference. 399-400 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Wu, M. Nakagaki: "The Constitutive Law of Particle Dispersed Composite based on Equivalent Inclusion Method"Proceedings of JSMS Composites-27. 129-132 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Wu, M. Nakagaki: "Elastoplastic Constitutive Law for Particle Dispersed Cormposite Material Accounting for Mesoscopic Inhomogeneity"Transactions of the JSME, A. 64/620. 197-204 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Wu, M. Nakagaki: "Constitutive Law for Particle Dispersed Composite and its Evaluation"Transactions of the JSME, A. 64/622. 2328-2333 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Michihiko Nakagaki and Yadong Wu: "Elastoplastic constitutive law for particle dispersed composite material accounting for mesoscopic inhomogeneity"Journal of Key Engineering Materials. 145-149. 583-588 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Michihiko Nakagaki, Yadong Wu, and Seiya Hagihara: "Dynamically propagating crack in graded particle dispersed composite modeled by neuro-fuzzy inference"Journal of Key Engineering Materials. 145-149. 333-342 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yadong Wu, Michihiko Nakagaki: "Thermo-mechanical property model for particle/fiber reinforced composite"Proceedings of International Conference on Engineering Science 98. II. 1371-1376 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yadong Wu, Michihiko Nakagaki: "Constitutive model of particle dispersed composite in plastic regime"Proceedings of International Conference on Engineering Science 98. II. 2047-2056 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yadong Wu, Michihiko Nakagaki, Susumu Ono, and Masaaki Koganemaru: "Constitutive model for short fiber-reinforced composite"Proceedings of Conference on Computational Engineering Science. 3/3. 993-996 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Ogoshi, M. Nakagaki, Y. Wu, S. Matsumura: "Constitutive law for intelligent composite material with dispersed shape-memory alloy and its application to thermal shock problem"Proceedings of 11th Computational Mechanics Conference. 481-482 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Yadong Wu, Michihiko Nakagaki: "Constitutive law for particle dispersed composite in plastic regime with local rigidity scheme"Proceedings of International Symposium on Strength Theory : Application, Development & Prospects for 21st Century. 365-370 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Tanaka, M. Nakagaki, Y. Wu, S. Ogoshi: "Thermo-elastoplastic crack analysis of functionally graded material with the use of LRM constitutive law for particle dispersed composite"Proceedings of 1998 Annual Meetings of JSME/MMD. A. 95-96 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Kaneko, Y. Wu, M. Nakagaki: "Damage Behavior of Composite Accounting for Meso-scopic Local Distribution"Proceedings of 1998 Annual Meetings of JSME/MMD. B. 37-38 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M. Koganemaru, M. Nakagaki, Y. Wu: "Meso/Macro Characteristics for Fiber Dispersed Composite"Proceedings of 1998 Annual Meetings of JSME/MMD. B. 35-36 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Wu, M. Nakagaki: "Elastoplastic Constitutive Model for Fiber Dispersed Composite with Distributed Fiber Orientations"Proceedings of 1998 Annual Meetings of JSME/MMD. B. 155-156 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S. Ono, Y. Wu, M. Nakagaki, M. Koganemaru: "Thermal Expansion Model of Particle / Fiber Dispersed Composites"Proceedings of 1998 Annual Meetings of JSME/MMD. B. 245-246 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y. Wu, M. Nakagaki, S. Ono: "Behavior and constitutive model for clustered whisker reinforced composite"Proceedings of 76th JSME Fall Annal Meeting. I. 463-464 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M. Nakagaki: "Computational Mechanics V -- Application of Neural Network for Material Mechanics, Chapter 2, "Fracture in Functionally Graded Materials""Yokendo. 32-60 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 呉亜東,中垣通彦: "微視的特性を考慮した粒子分散複合材料の弾塑性構成則モデル" 日本機械学会論文集(A編). 64-620. 197-204 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 呉亜東,中垣通彦: "粒子分散複合材料の構成則モデルとその評価" 日本機械学会論文集(A編). 64-622. 212-219 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Michihiko Nakagaki and Yadong Wu: "Elastoplastic consitutive law for particle dispersed compostite material accounting for mesoscopic inhomogeneity" Journal of Key Engineering Materials. 145-149. 583-588 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Michihiko Nakagaki,Yadong Wu,and Seiya Hagihara: "Dynamically propagating crack in graded particle dispersed composite modeled by neuro-fuzzy inference" Journal of Key Engineering Materials. 145-149. 333-342 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 菅原光男、瓜田祐輔、片岡稔、萩原世也、中垣通彦: "ニューラルネットワークによる不定形耐火物内張材の膨張挙動の解析(第1報 非線形有限要素法による不定形耐火物内張材の強度解析)" Taikabutsu. 50-5. 265-274 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Yadong Wu,Michihiko Nakagaki: "Thermo-mechanical property model for particle/fiber reinforced composite" Proceedings of International Conference on Engineering Science 98. II. 1371-1376 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 金子優美、呉亜東、中垣通彦: "微視的な局所分布を考慮した複合材料の損傷挙動" 日本機会学会M&M'98材料力学部門講演会. B. 37-38 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 呉亜東、中垣通彦: "任意配向性をもつ短繊維分散複合材料の弾塑性構成則モデル" 日本機会学会M&M'98材料力学部門講演会. B. 155-156 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 小野進、呉亜東、中垣通彦、小金丸正明: "粒子/繊維分散複合材料の熱膨張モデル" 日本機会学会M&M'98材料力学部門講演会. B. 245-246 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 呉亜東、中垣通彦、小野進: "偏り分布する繊維分散複合材料の挙動と構成則モデル" 日本機会学会第76期全国大会講演論文集. I. 463-464 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 呉亜東,中垣通彦: "粒子分散モデルによる複合材料の巨視的構成則" 日本機械学会九州支部第50期総会講演会論文集. 100-102 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Michihiko Nakagaki and Yadong Wu: "Elastoplastic constitutive law for particle dispersed composite material accounting for mesoscopic inhomogeneity" Proceedings of 3rd international conference on fracture and strength of solids. 1. 583-588 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Michihiko Nakagaki,Yadong Wu,and Seiya Hagihara: "Dynamically propagating crack in graded particle dispersed composite modeled by neuro-fuzzy inference" Proceedings of 3rd international conference on fracture and strength of solids. 1. 333-342 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Michihiko Nakagaki,Yadong Wu,Takayuki Kasai: "An averaging law in constitutive modeling for phase transforming material" Proc.of Interenational Conference on Materials and Mechanics'97. 427-428 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Yadong Wu,Michihiko Nakagaki: "An Elastoplastic constitutive modeling of particle dispsersed composite" Proc.of Interenational Conference on Materials and Mechanics'97. 57-62 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 呉亜東,中垣通彦: "微視的な応力干渉を考慮した粒子分散複合材料の非線形構成則" 計算工学講演会論文集. 12. 1175-1178 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 中垣通彦、呉亜東: "粒子分散構成則を用いた傾斜機能材料の材料設計" 第39回構造強度に関する講演会講演集. 69-72 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 中垣通彦、呉亜東: "繊維分散強化複合材料モデルと構成則" 産学官共同研究中間成果発表フォーラム予稿集. 32-36 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 中垣通彦、呉亜東、田中慎也: "粒子分散複合材料の平均熱伝導率" 第35回高温強度シンポジウム講演会. 45-49 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Michihiko Nakagaki,Yadong Wu,Takayuki Kasai: "Averaging law in constitututive modeling for phase transforming alloy and its effects on material behavior" Proc.of Plasticitity '97:6th International Symposium on Plasticity and Its Current Applications. 167-168 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Michihiko Nakagaki,Yadong Wu: "Elastoplastic modeling for composite with ellipsoidal inhomogeneities" Proceedings of 4th International Conference on Composites Engineering. 707-708 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 呉亜東、中垣通彦: "ウィスカ分散複合材料の構成則" 日本機械学会75期通常総会講演会. 323-324 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 呉亜東,中垣通彦: "粒子分散構造をもつ複合材料の平均化構成則" 第47回応用力学連合講演会予稿集. 393-394 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 呉亜東,中垣通彦: "等価介在物理論による粒子分散複合材料の構成式" 第27回FRPシンポジウム講演会. 129-132 (1998)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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