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Thermo-mechanical coupled gradient-enhanced reduced order multi-scale analysis for the next-generation material design

Research Project

Project/Area Number 20K14603
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 18010:Mechanics of materials and materials-related
Research InstitutionNagoya University

Principal Investigator

MATSUBARA SEISHIRO  名古屋大学, 工学研究科, 助教 (40823638)

Project Period (FY) 2020-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2021: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2020: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywordsマルチスケール / 均質化法 / 熱・機械連成問題 / ミクロ非定常 / 高分子複合材料 / 熱・機械連成挙動 / 次数低減法 / 勾配型マルチスケール理論 / 熱・機械連成解析 / 熱・機械・化学連成解析 / 熱可塑性樹脂 / 熱硬化性樹脂 / 熱・機械強連成マルチスケール解析 / 二次均質化理論 / 次数低減手法 / 微視的非定常現象
Outline of Research at the Start

加熱を受けたり,外的負荷による非弾性変形で発熱した複合材料は,微視的に非定常な温度・変形場の相互連成挙動が生じており,それは微視構造の寸法に依存する.そこで本研究では,このような寸法依存性を有する微視的非定常性を考慮した均質化理論と関係するマルチスケール解析手法の開発を行う.ところが,このようなマルチスケール・マルチフィジックス解析の実施には莫大な計算コストを要すると考えられるため,さらに本研究では,ニューラルネットワークなどの機械学習を駆使した次数低減マルチスケール解析手法を開発する.

Outline of Final Research Achievements

In this study, we formulated a method of two-scale analysis to predict unsteady thermo-mechanically coupled behaviors in the microstructure of polymer based composite and to evaluate coupled thermo-mechanical macroscopic properties. As a result, the verification for the thermo-mechanically coupled problem of thermo-hyperelastic composite demonstrated that our proposed method can evaluate unsteady two-scale thermo-mechanically coupled behaviors of composites accurately.

Academic Significance and Societal Importance of the Research Achievements

本提案手法では,「非定常」な複合材料の熱・機械連成挙動を微視・巨視構造レベル双方で高精度に予測することが可能である.そのため,微視構造レベルで局所的に温度が蓄積し,それによる残留応力が問題となる充填ゴムや繊維強化樹脂の強度評価を高精度に実施することが可能である.また,トポロジー最適化手法との組み合わせによってこれらの弱点を克服するような微視構造のデザインも可能になる.したがって,本手法は実用面においても極めて有用であるといえる.

Report

(3 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • Research Products

    (14 results)

All 2021 2020

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (10 results) (of which Int'l Joint Research: 5 results)

  • [Journal Article] Thermo-mechanical coupled incremental variational formulation for thermosetting resins subjected to curing process2021

    • Author(s)
      Yosuke Yamanaka, Seishiro Matsubara, Risa Saito, Shuji Moriguchi, Kenjiro Terada
    • Journal Title

      International Journal of Solids and Structures

      Volume: 216 Pages: 30-42

    • DOI

      10.1016/j.ijsolstr.2021.01.014

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] A variationally consistent formulation of the thermo-mechanically coupled problem with non-associative viscoplasticity for glassy amorphous polymers2021

    • Author(s)
      Seishiro Matsubara, Kenjiro Terada
    • Journal Title

      International Journal of Solids and Structures

      Volume: 212 Pages: 152-168

    • DOI

      10.1016/j.ijsolstr.2020.12.004

    • NAID

      120007164831

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Finite element implementation of Gent-Gent hyperelastic model for swollen elastomers2020

    • Author(s)
      菊池 正太郎, 三好 宏明, 松原 成志朗, 奥村 大
    • Journal Title

      Transactions of the JSME (in Japanese)

      Volume: 86 Issue: 890 Pages: 20-00233-20-00233

    • DOI

      10.1299/transjsme.20-00233

    • NAID

      130007930471

    • ISSN
      2187-9761
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] 微圧縮超弾性体の熱・機械完全連成問題に対する 増分型Mean dilatation法2020

    • Author(s)
      松原 成志朗, 奥村 大, 寺田 賢二郎
    • Journal Title

      計算数理工学論文集

      Volume: 20 Pages: 101-109

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Presentation] 熱弾性材料に対するマルチスケール熱・機械連成解析2021

    • Author(s)
      松原 成志朗,奥村 大,寺田 賢二郎
    • Organizer
      第26回計算工学講演会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Thermo-mechanically coupled analyses for dissipative composites considering transient change of microscopic temperature2021

    • Author(s)
      S. Matsubara, D. Okumura, K. Terada
    • Organizer
      COMPLAS2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fully implicit coupled analysis for finite thermo-viscoelasticity with resin cure: application to multiscale analysis2021

    • Author(s)
      Y. Yamanaka, S. Matsubara, S. Moriguchi, K. Terada
    • Organizer
      COMPLAS2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 非晶性樹脂の変形による自己発熱を考慮した有限要素解析2021

    • Author(s)
      松原 成志朗, 奥村 大, 永島 壮, 寺田 賢二郎
    • Organizer
      日本機械学会 M&M2021 材料力学ンファレンス
    • Related Report
      2021 Annual Research Report
  • [Presentation] A Method of thermo-mechanically coupled two-scale analysis reflecting the microscopic unsteady thermo-mechanical cross-interactions2021

    • Author(s)
      S. Matsubara, D. Okumura, K. Terada
    • Organizer
      IMECE2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 非均質体に対する微視的温度場の過渡現象を考慮した熱・機械連成マルチスケール解析2021

    • Author(s)
      松原成志朗,奥村大
    • Organizer
      機械学会東海支部第70期講演会
    • Related Report
      2020 Research-status Report
  • [Presentation] 非晶性熱可塑性樹脂の熱・機械強連成有限要素解析2021

    • Author(s)
      松原成志朗,奥村大
    • Organizer
      日本材料学会東海支部 第15 回学術講演会
    • Related Report
      2020 Research-status Report
  • [Presentation] 微視的非定常性を考慮した複合材料のマルチスケール熱伝導解析2020

    • Author(s)
      松原成志朗,寺田賢二郎
    • Organizer
      日本機械学会2020年度年次大会
    • Related Report
      2020 Research-status Report
  • [Presentation] A thermo-mechanically coupled variational update for glassy amorphous polymers in consideration of the effect of mechanical entropy change2020

    • Author(s)
      S. Matsubara D. Okumura K. Terada
    • Organizer
      IMECE2020 virtual conference
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Thermo-mechanical coupled two-scale analysis involving microscopic thermal inertia2020

    • Author(s)
      S. Matsubara D. Okumura K. Terada
    • Organizer
      The 3rd international conference on computational engineering and science for safety and environmental problems
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research

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Published: 2020-04-28   Modified: 2023-01-30  

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