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

Study on Multiscale Stochastic Stress Analysis and Reliability-based Design of a Porous Material

Research Project

Project/Area Number 23760097
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Materials/Mechanics of materials
Research InstitutionKinki University (2012-2014)
Shimane University (2011)

Principal Investigator

SAKATA Sei-ichiro  近畿大学, 理工学部, 准教授 (80325042)

Project Period (FY) 2011-04-28 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords確率均質化解析 / マルチスケール確率応力解析 / 多孔質材料 / 信頼性設計 / マルチスケール問題 / 確率応力解析 / 三次元造形法 / 信頼性評価 / 確率均質化 / 光造形法
Outline of Final Research Achievements

In this research, influence of a microscopic random variation in heterogeneous materials, in particular a porous material, on homogenized material properties and stress fields is investigated. As microscopic random variables, volume fraction, shape and location of holes in the material are taken into account.
At first, influence of the microscopic random variations on the homogenized properties and the stresses is analysed with the multiscale finite element method and the Monte-Carlo simulation, and the results show necessity of the multiscale stochastic stress analysis for a reliability-based design of the material. In particular, importance of considering the non-uniformity of the microscopic random variation is indicated.
The numerical results on the stochastic homogenization analysis with the perturbation-based method are compared with the results of the Monte-Carlo simulation and experiments, and validity and effectiveness of the approach are shown.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (39 results)

All 2015 2014 2013 2012 2011

All Journal Article (11 results) (of which Peer Reviewed: 6 results,  Acknowledgement Compliant: 1 results) Presentation (27 results) (of which Invited: 2 results) Book (1 results)

  • [Journal Article] Stochastic analysis of laminated composite plate consdering stochastic homogenization problem2015

    • Author(s)
      S. Sakata, K. Okuda, K. Ikeda
    • Journal Title

      Frontiers of Structural and Civil Engineering

      Volume: 印刷中 Issue: 2 Pages: 141-153

    • DOI

      10.1007/s11709-014-0286-2

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 摂動法に基づくマルチスケール確率応力解析法を用いた粒子強化複合材料の微視的材料定数変動に対する破壊確率解析2013

    • Author(s)
      坂田誠一郎,塩谷公紀
    • Journal Title

      日本機械学会論文集A編

      Volume: 79 Pages: 395-406

    • NAID

      130003374614

    • Related Report
      2013 Research-status Report
  • [Journal Article] Multiscale Stochastic Stress Analysis of a Porous Material with the Perturbation-Based Stochastic Homogenization Method for a Microscopic Geometrical Random Variation2013

    • Author(s)
      S. Sakata, F. Ashida. K. Ohsumimoto
    • Journal Title

      Journal of Computational Science and Technology

      Volume: 7 Issue: 1 Pages: 99-112

    • DOI

      10.1299/jcst.7.99

    • NAID

      130003368071

    • ISSN
      1881-6894
    • Related Report
      2013 Research-status Report
  • [Journal Article] A Multiscale Stochastic Stress Analysis of a Heterogeneous Material considering Nonuniform Microscopic Random Variation2013

    • Author(s)
      S. Sakata, F. Ashida and K. Ohsumimoto
    • Journal Title

      Journal of Computational Science and Technology

      Volume: 7 Issue: 2 Pages: 134-147

    • DOI

      10.1299/jcst.7.134

    • NAID

      130003368075

    • ISSN
      1881-6894
    • Related Report
      2013 Research-status Report
  • [Journal Article] 摂動法を用いた粒子強化複合材料の確率均質化逆解析2013

    • Author(s)
      坂田誠一郎,清水義隆
    • Journal Title

      日本機械学会論文集A編

      Volume: 79 Pages: 789-801

    • NAID

      130003374663

    • Related Report
      2013 Research-status Report
  • [Journal Article] Stochastic Homogenization ANalysis of a Porous Material with the Perturbation Method considering a Microscopic Geometrical Random Variation2013

    • Author(s)
      S. Sakata, F. Ashida and K. Ohsumimoto
    • Journal Title

      International Journal of Mechanical Sciences

      Volume: 77 Pages: 145-154

    • DOI

      10.1016/j.ijmecsci.2013.10.001

    • Related Report
      2013 Research-status Report
  • [Journal Article] Stochastic Homogenization Analysis of a Particle Reinforced Composite Material using an Approximate Monte-Carlo Simulation with the Weighted Least Square Method2013

    • Author(s)
      S. Sakata, F. Ashida and D. Iwahashi
    • Journal Title

      Journal of Computational Science and Technology

      Volume: 7 Issue: 1 Pages: 1-11

    • DOI

      10.1299/jcst.7.1

    • NAID

      130003368064

    • ISSN
      1881-6894
    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Stochastic Homogenization Analysis for a Thermoelasitc Problem of a Unidirectional Fiber-Reinforced Composite Material with the Homogenization Theory2013

    • Author(s)
      S. Sakata, F. Ashida and K. Fujiwara
    • Journal Title

      Journal of Thermal Stresses

      Volume: 36 Issue: 5 Pages: 405-425

    • DOI

      10.1080/01495739.2013.770359

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Microscopic Failure Probability Analysis of a Unidirectional Fiber Reinforced Composite Material via a Multiscale Stochastic Stress Analysis for a Microscopic Random Variation of an Elastic Property2012

    • Author(s)
      S. Sakata, F.Ashida and K. Enya
    • Journal Title

      Computational Materials Science

      Volume: 62 Pages: 35-46

    • DOI

      10.1016/j.commatsci.2012.05.008

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Hierarchical Stochastic Homogenization Analysis of Particle Reinforced Composite Materials considering Non-uniform Distribution of Microscopic Random Quantities2011

    • Author(s)
      S. Sakata and F. Ashida
    • Journal Title

      Computational Mechanics

      Volume: 48 Issue: 5 Pages: 529-540

    • DOI

      10.1007/s00466-011-0604-7

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] 非一様な微視的ばらつきを有する短繊維強化複合材料の階層型確率均質化解析2011

    • Author(s)
      坂田誠一郎・芦田文博・田中龍太
    • Journal Title

      日本機械学会論文集A編

      Volume: 77 Pages: 1945-1955

    • NAID

      130001423293

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] 逐次摂動法によるGFRPの繊維配置のばらつきに対するマルチスケール確率解析2014

    • Author(s)
      鳥越到,坂田誠一郎
    • Organizer
      日本機械学会第27回計算力学講演会
    • Place of Presentation
      岩手大学(岩手県盛岡市)
    • Year and Date
      2014-10-11 – 2014-10-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Stochastic analysis of laminates for microscopic random variation2014

    • Author(s)
      S. Sakata
    • Organizer
      ACMFMS2014
    • Place of Presentation
      奈良県新公会堂(奈良県奈良市)
    • Year and Date
      2014-10-11 – 2014-10-13
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Inverse stochastic homogenization analysis of particlereinforced composite material considering correlatedrandom variables with function approximation approach2014

    • Author(s)
      S. Kobayashi and S. Sakata
    • Organizer
      ACMFMS2014
    • Place of Presentation
      奈良県新公会堂(奈良県奈良市)
    • Year and Date
      2014-10-11 – 2014-10-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Multiscale stochastic analysis of unidirectional fiber reinforced composite material considering random fiber arrangement with the perturbation approach2014

    • Author(s)
      I. Torigoe and S. Sakata,
    • Organizer
      ACMFMS2014
    • Place of Presentation
      奈良
    • Year and Date
      2014-10-11 – 2014-10-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Stochastic analysis on residual deformation of resin structure considering injection molding process2014

    • Author(s)
      D. Murata and S. Sakata
    • Organizer
      ACMFMS2014
    • Place of Presentation
      奈良県新公会堂(奈良県奈良市)
    • Year and Date
      2014-10-11 – 2014-10-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Multiscale stochastic thermal stress analysis ofunidirectional fiber reinforced composite material with the first order perturbation method using finitedifference approach2014

    • Author(s)
      A. Imaoku, S. Sakata, T. Kurashiki, H. Mori
    • Organizer
      ACMFMS2014
    • Place of Presentation
      奈良県新公会堂(奈良県奈良市)
    • Year and Date
      2014-10-11 – 2014-10-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Multiscale Stochastic Stress Analysis for randomness of Fiber Arrangement in Fiber Reinforced Composite Material2014

    • Author(s)
      S. Sakata and I. Torigoe
    • Organizer
      11thWCCM
    • Place of Presentation
      バルセロナ(スペイン)
    • Year and Date
      2014-07-20 – 2014-07-25
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 一方向繊維強化複合材料のマルチスケール確率熱応力解析2014

    • Author(s)
      今奥亜希,坂田誠一郎
    • Organizer
      日本複合材料会議 JCCM-5
    • Place of Presentation
      キャンパスプラザ京都
    • Related Report
      2013 Research-status Report
  • [Presentation] 逐次摂動法を用いた不均質材料の確率均質化・マルチスケール確率応力解析2013

    • Author(s)
      坂田誠一郎
    • Organizer
      第18回計算工学講演会
    • Place of Presentation
      東京大学
    • Related Report
      2013 Research-status Report
  • [Presentation] An Adaptive Strategy for the Stocahsitc Homogenization and the Multiscale Stochastic Stress Analysis2013

    • Author(s)
      S. Sakata
    • Organizer
      IUTAM Symposium on Multiscale modeling and uncertainty quantification of materials and structures
    • Place of Presentation
      Greece, Santorini Island
    • Related Report
      2013 Research-status Report
  • [Presentation] 繊維配置のばらつきを考慮した一方向繊維強化複合材料のマルチスケール応力解析2013

    • Author(s)
      鳥越到,坂田誠一郎
    • Organizer
      日本機械学会 計算力学部門講演会 CMD2013
    • Place of Presentation
      佐賀大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 素材の材料定数変動に対する積層複合材料のマルチスケール確率熱弾性解析2013

    • Author(s)
      今奥亜希,坂田誠一郎
    • Organizer
      日本機械学会 計算力学部門講演会 CMD2013
    • Place of Presentation
      佐賀大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Inverse Stochastic Homogenization Analysis of a Particle Composite Material with a Function Approximation Approach2012

    • Author(s)
      S. Sakata, F. Ashida and Y. Shimizu
    • Organizer
      10th World Congress on Computational Mechanics
    • Place of Presentation
      Hotel Transamerica (ブラジル,サンパウロ)
    • Related Report
      2012 Research-status Report
  • [Presentation] 複数の微視的変動を有する粒子強化複合材料の多項式近似確率均質化逆解析2012

    • Author(s)
      坂田誠一郎,芦田文博,清水義隆
    • Organizer
      第17回計算工学講演会
    • Place of Presentation
      京都教育文化センター(京都府)
    • Related Report
      2012 Research-status Report
  • [Presentation] 非一様な空孔変動を有する多孔質材料のマルチスケール確率応力解析2012

    • Author(s)
      大住元謙一,坂田誠一郎,芦田文博
    • Organizer
      第17回計算工学講演会
    • Place of Presentation
      京都教育文化センター(京都府)
    • Related Report
      2012 Research-status Report
  • [Presentation] 周期的に非一様な微視的ばらつきを有する複合材料の熱弾性特性に 関する確率均質化解析2012

    • Author(s)
      藤原健一,坂田誠一郎,芦田文博
    • Organizer
      第17回計算工学講演会
    • Place of Presentation
      京都教育文化センター(京都府)
    • Related Report
      2012 Research-status Report
  • [Presentation] 光造形法により作製した二次元多孔質材料の確率均質化特性評価2012

    • Author(s)
      坂田誠一郎
    • Organizer
      日本機械学会2012年度年次大会
    • Place of Presentation
      金沢大学(石川県)
    • Related Report
      2012 Research-status Report
  • [Presentation] 微視的ランダム変動を考慮した一方向繊維複合材料の確率熱応力解析2012

    • Author(s)
      藤原健一,坂田誠一郎,芦田文博
    • Organizer
      第25回計算力学講演会
    • Place of Presentation
      神戸ポートアイランド南地区(兵庫県)
    • Related Report
      2012 Research-status Report
  • [Presentation] A Multiscale Stochastic Stress Analysis of a Heterogeneous Material considering Non-uniform Microscopic Random Variation2012

    • Author(s)
      S. Sakata, F. Ashida and K. Ohsumimoto
    • Organizer
      International Conputational Mechanics Symposium 2012
    • Place of Presentation
      神戸ポートアイランド南地区(兵庫県)
    • Related Report
      2012 Research-status Report
  • [Presentation] 一方向繊維強化複合材料の熱弾性特性の確率均質解析2011

    • Author(s)
      藤原健一・坂田誠一郎・芦田文博
    • Organizer
      第16回日本計算工学講演会
    • Place of Presentation
      東京大学(柏市)
    • Related Report
      2011 Research-status Report
  • [Presentation] 空孔形状のランダム変動を有する多孔質材料の確率均質化解析2011

    • Author(s)
      大住元謙一・坂田誠一郎・芦田文博
    • Organizer
      第16回日本計算工学講演会
    • Place of Presentation
      東京大学(柏市)
    • Related Report
      2011 Research-status Report
  • [Presentation] 摂動法を用いた一方向繊維強化複合材料のマルチスケール確率応力解析2011

    • Author(s)
      坂田誠一郎・芦田文博
    • Organizer
      第16回日本計算工学講演会
    • Place of Presentation
      東京大学(柏市)
    • Related Report
      2011 Research-status Report
  • [Presentation] Stochastic Homogenization and Multiscale Stochastic Stress Analaysis of a Composite Mateiral with an Improved Perturbation-based Approach2011

    • Author(s)
      S. Sakata and F. Ashida
    • Organizer
      ASME McMat 2011
    • Place of Presentation
      Chicago
    • Related Report
      2011 Research-status Report
  • [Presentation] 摂動法を用いた粒子強化複合材料の確率均質化逆解析2011

    • Author(s)
      清水義隆・坂田誠一郎・芦田文博
    • Organizer
      日本機械学会M&M2011材料力学カンファレンス
    • Place of Presentation
      九州工業大学(北九州市)
    • Related Report
      2011 Research-status Report
  • [Presentation] 摂動法による複合材料のマルチスケール確率応力解析の高精度化に関する検討2011

    • Author(s)
      坂田誠一郎・芦田文博
    • Organizer
      日本機械学会M&M2011材料力学カンファレンス
    • Place of Presentation
      九州工業大学(北九州市)
    • Related Report
      2011 Research-status Report
  • [Presentation] 空孔のランダム変動を有する多孔質材料のマルチスケール確率応力解析2011

    • Author(s)
      大住元謙一・坂田誠一郎・芦田文博
    • Organizer
      日本機械学会CMD2011計算力学講演会
    • Place of Presentation
      岡山大学(岡山市)
    • Related Report
      2011 Research-status Report
  • [Presentation] 関数近似を用いた複合材料の確率均質化逆解析2011

    • Author(s)
      坂田誠一郎・芦田文博
    • Organizer
      日本機械学会CMD2011計算力学講演会
    • Place of Presentation
      岡山大学(岡山市)
    • Related Report
      2011 Research-status Report
  • [Book] Multiscale modeling and uncertainty quantification of materials and structures: proceedings of the IUTAM symposium held at Santorini2014

    • Author(s)
      S. Sakata
    • Total Pages
      170
    • Publisher
      Springer
    • Related Report
      2014 Annual Research Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi