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Mathematical modeling and analysis of discontinuous phenomena in continuum body

Research Project

Project/Area Number 17H02857
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionKanazawa University

Principal Investigator

KIMURA Masato  金沢大学, 数物科学系, 教授 (70263358)

Co-Investigator(Kenkyū-buntansha) 高石 武史  武蔵野大学, 工学部, 教授 (00268666)
田中 良巳  横浜国立大学, 大学院環境情報研究院, 准教授 (10315830)
小俣 正朗  金沢大学, 数物科学系, 教授 (20214223)
伊藤 弘道  東京理科大学, 理学部第二部数学科, 准教授 (30400790)
田上 大助  九州大学, マス・フォア・インダストリ研究所, 准教授 (40315122)
平野 史朗  立命館大学, 理工学部, 助教 (60726199)
Project Period (FY) 2017-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥17,030,000 (Direct Cost: ¥13,100,000、Indirect Cost: ¥3,930,000)
Fiscal Year 2020: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2018: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2017: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Keywords連続体力学 / 亀裂問題 / 不連続現象 / 接触 / 摩擦 / 剥離 / 粒子法 / 亀裂進展モデル / 接触と剥離現象 / ゲル破壊 / 断層破壊 / 亀裂進展 / フェーズ・フィールド・モデル / 剥離モデル / 双曲型自由境界問題 / 動的亀裂問題 / 弾性体
Outline of Final Research Achievements

We conducted the following three research teams. Team 1 studied the contact and delamination phenomena, and the particle systems. Team 2 studied the fracture in gel and crack propagation models. Team 3 focused on the friction and the contact on the discontinuity surface and considered applications to the fault dynamics. The main results we obtained in this project are as follows. (1) mathematical analysis of the continuous limit problem and the boundary conditions for interacting particles [Team 1], (2) mathematical modeling of hyperbolic PDEs with delamination and their analysis [Team 1], (3) variational structures for a viscoelasticity model and a viscoelastic fracture model [Team 2], (4) mathematical analysis of a unidirectional evolution model related to the crack propagation [Team 2], (5) mathematical analysis of crack problems with the friction and the contact [Team 3], (6) mathematical analysis of the fault destruction.

Academic Significance and Societal Importance of the Research Achievements

本来,滑らかに変化する現象を記述するためにニュートンやライプニッツによって発明された「微分」と「微分方程式」は,現代の科学技術における,数理モデリングとコンピュータ・シミュレーションの基礎となっている.本研究では,亀裂や界面,接触,剥離,摩擦などの様々な「不連続な現象」を微分方程式によって扱うための,数学解析・数理モデリング・数値計算の新たな手法を開発した.これは,モデリングとシミュレーションの可能性と信頼性を大きく広げることにつながる成果である.

Report

(5 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • Research Products

    (114 results)

All 2021 2020 2019 2018 2017 Other

All Int'l Joint Research (7 results) Journal Article (26 results) (of which Int'l Joint Research: 12 results,  Peer Reviewed: 26 results,  Open Access: 9 results) Presentation (72 results) (of which Int'l Joint Research: 40 results,  Invited: 36 results) Book (1 results) Funded Workshop (8 results)

  • [Int'l Joint Research] University of Graz(オーストリア)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Novosibirsk state University(ロシア連邦)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Texas A&M University(米国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Karlstard University(スウェーデン)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] チェコ工科大学(チェコ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Graz(Austria)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Texas A&M University(米国)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Quantitative Estimate of the Continuum Approximations of Interacting Particle Systems in One Dimension2021

    • Author(s)
      Kimura Masato、van Meurs Patrick
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: 53 Issue: 1 Pages: 681-709

    • DOI

      10.1137/20m1322054

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Lagrange multiplier approach to unilateral indentation problems: Well-posedness and application to linearized viscoelasticity with non-invertible constitutive response2021

    • Author(s)
      Itou Hiromichi、Kovtunenko Victor A.、Rajagopal Kumbakonam R.
    • Journal Title

      Mathematical Models and Methods in Applied Sciences

      Volume: - Issue: 03 Pages: 1-26

    • DOI

      10.1142/s0218202521500159

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] 勾配流型き裂進展モデルの拡張について2021

    • Author(s)
      高石武史
    • Journal Title

      武蔵野大学数理工学センター紀要

      Volume: 6 Pages: 39-48

    • NAID

      120007008116

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Parameter interdependence of dynamic self-similar crack with distance-weakening friction2020

    • Author(s)
      Hirano Shiro、Itou Hiromichi
    • Journal Title

      Geophysical Journal International

      Volume: 223 Issue: 3 Pages: 1584-1596

    • DOI

      10.1093/gji/ggaa392

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Gradient Flow Model of Mode-III Fracture in Maxwell-type Viscoelastic Materials2020

    • Author(s)
      Tanaka Yoshimi、Takaishi Takeshi
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 89 Issue: 8 Pages: 084801-084801

    • DOI

      10.7566/jpsj.89.084801

    • NAID

      210000158347

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A hyperbolic free boundary problem and its numerical and mathematical analysis2020

    • Author(s)
      Omata Seiro
    • Journal Title

      Sugaku Expositions

      Volume: 33 Issue: 1 Pages: 31-55

    • DOI

      10.1090/suga/447

    • Related Report
      2020 Annual Research Report 2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Regularity of the minimiser of one-dimensional interaction energies2020

    • Author(s)
      M. Kimura and P. van Meurs
    • Journal Title

      ESAIM: Control, Optimisation and Calculus of Variations

      Volume: 26 Pages: 27-27

    • DOI

      10.1051/cocv/2019043

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity2020

    • Author(s)
      Itou Hiromichi、Kovtunenko Victor A.、Rajagopal Kumbakonam R.
    • Journal Title

      International Journal of Engineering Science

      Volume: 151 Pages: 103272-103272

    • DOI

      10.1016/j.ijengsci.2020.103272

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Gel dynamics in the mixture of low and high viscosity solvents: Re-entrant volume change induced by dynamical asymmetry2020

    • Author(s)
      Y. Tanaka, M. Seii, J. Sui and M. Doi
    • Journal Title

      Journal of Chemical Physics

      Volume: 152 Issue: 18 Pages: 1849011-8

    • DOI

      10.1063/5.0002266

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition2019

    • Author(s)
      M.M. Murshed, K. Futai, M. Kimura, H. Notsu
    • Journal Title

      Discrete & Continuous Dynamical Systems - S

      Volume: - Issue: 3 Pages: 1063-1078

    • DOI

      10.3934/dcdss.2020230

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of a projection method for the Stokes problem using an ε-Stokes approach2019

    • Author(s)
      M. Kimura, K. Matsui, A. Muntean, H. Notsu
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 36 Issue: 3 Pages: 959-985

    • DOI

      10.1007/s13160-019-00373-3

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Particle dynamics subject to impenetrable boundaries: existence and uniqueness of mild solutions2019

    • Author(s)
      M. Kimura, P. van Meurs, Z.X. Yang
    • Journal Title

      SIAM J. Math. Anal.

      Volume: 51 (6) Issue: 6 Pages: 5049-5076

    • DOI

      10.1137/18m1235922

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Unidirectional evolution equations of diffusion type2019

    • Author(s)
      Goro Akagi and Masato Kimura
    • Journal Title

      Journal of Differential Equations

      Volume: 266 Issue: 1 Pages: 1-43

    • DOI

      10.1016/j.jde.2018.05.022

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Comparing motion of curves and hypersurfaces in $\mathbb{R}^m$.2019

    • Author(s)
      J. Minarcik, M. Kimura, and M. Benes
    • Journal Title

      Discrete and Continuous Dynamical Systems - B

      Volume: 印刷中 Issue: 9 Pages: 1-12

    • DOI

      10.3934/dcdsb.2019032

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Deformation problem for glued elastic bodies and an alternative iteration method2019

    • Author(s)
      M. Kimura and A. Suzuki
    • Journal Title

      Proceedings of CoMFoS18, Springer(印刷中)

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A numerical approach based on variational methods to an elastodynamic contact problem2019

    • Author(s)
      Yoshiho Akagawa, Shuichi Morikawa, Seiro Omata
    • Journal Title

      Sci. Rep. Kanazawa Univ.(印刷中)

      Volume: -

    • NAID

      120006731735

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A priori estimates for the general dynamic Euler?Bernoulli beam equation: Supported and cantilever beams2019

    • Author(s)
      Hasanov Alemdar、Itou Hiromichi
    • Journal Title

      Applied Mathematics Letters

      Volume: 87 Pages: 141-146

    • DOI

      10.1016/j.aml.2018.07.038

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Crack problem within the context of implicitly constituted quasi-linear viscoelasticity2019

    • Author(s)
      Itou Hiromichi、Kovtunenko Victor A.、Rajagopal Kumbakonam R.
    • Journal Title

      Mathematical Models and Methods in Applied Sciences

      Volume: 29 Issue: 02 Pages: 355-372

    • DOI

      10.1142/s0218202519500118

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Revealing cracks inside conductive bodies by electric surface measurements2019

    • Author(s)
      Hauptmann, A., Ikehata, M, Itou, H. and Siltanen, S.
    • Journal Title

      Inverse Problems

      Volume: 35 Issue: 2 Pages: 025004-025004

    • DOI

      10.1088/1361-6420/aaf273

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress2019

    • Author(s)
      Itou Hiromichi、Kovtunenko Victor A.、Rajagopal Kumbakonam R.
    • Journal Title

      International Journal of Engineering Science

      Volume: 136 Pages: 17-25

    • DOI

      10.1016/j.ijengsci.2018.12.005

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Friction vs. damage: dynamic self-similar crack growth revisited2019

    • Author(s)
      S. Hirano
    • Journal Title

      Proceedings of CoMFoS18, Springer(印刷中)

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Modeling of Unilateral Rupture Along Very Long Reverse Faults2019

    • Author(s)
      Shiro Hirano
    • Journal Title

      Journal of Geophysical Research: Solid Earth

      Volume: 124 Issue: 1 Pages: 1057-1071

    • DOI

      10.1029/2018jb016511

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Gradient Flow Structure of an Extended Maxwell Viscoelastic Model and a Structure-Preserving Finite Element Scheme2018

    • Author(s)
      Kimura Masato、Notsu Hirofumi、Tanaka Yoshimi、Yamamoto Hiroki
    • Journal Title

      Journal of Scientific Computing

      Volume: 78 Issue: 2 Pages: 1111-1131

    • DOI

      10.1007/s10915-018-0799-2

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Resume: Energy estimation of earthquake faulting processes2018

    • Author(s)
      Hirano, S.
    • Journal Title

      Singularity and asymptotic behavior of solutions for partial differential equations with conservation law: RIMS KoKyuroku Bessatsu

      Volume: 印刷中

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Contacting crack faces within the context of bodies exhibiting limiting strains2017

    • Author(s)
      Itou Hiromichi、Kovtunenko Victor A.、Rajagopal Kumbakonam R.
    • Journal Title

      JSIAM Letters

      Volume: 9 Issue: 0 Pages: 61-64

    • DOI

      10.14495/jsiaml.9.61

    • NAID

      130006077574

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body2017

    • Author(s)
      Itou Hiromichi、Kovtunenko Victor A、Rajagopal Kumbakonam R
    • Journal Title

      Mathematics and Mechanics of Solids

      Volume: 23 Issue: 3 Pages: 433-444

    • DOI

      10.1177/1081286517709517

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] 動的自己相似亀裂を表現する特異積分方程式の変数変換について2021

    • Author(s)
      平野史朗・伊藤弘道
    • Organizer
      日本応用数理学会 2021年 研究部会連合発表会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Numerical Study of Crack Growth On 3 Dimensional Viscoelatic Material2021

    • Author(s)
      Takeshi Takaishi
    • Organizer
      14th Virtual Congress WCCM & ECCOMAS 2020
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] エネルギー勾配流によるフェーズフィールドき裂進展数理モデルとその応用2021

    • Author(s)
      高石武史
    • Organizer
      PCoMS-SMee Multiscale Theory seminar 計算物質科学人材育成コンソーシアム (PCoMS)
    • Related Report
      2020 Annual Research Report
  • [Presentation] 狭空間に閉じ込められた弾性膜の座屈を伴う破壊2021

    • Author(s)
      増田 千紘, 工藤 大嗣 , 松井 和己 , 田中 良巳
    • Organizer
      第17回 日本応用数理学会研究部会連合発表会
    • Related Report
      2020 Annual Research Report
  • [Presentation] On a flat-punch indentation problem within the context of linearized viscoelasticity2020

    • Author(s)
      Itou Hiromichi
    • Organizer
      The Second Russia-Japan Workshop "Mathematical analysis of fracture phenomena for elastic structures and its applications"
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 粘弾性体におけるき裂問題と圧子押込み問題について2020

    • Author(s)
      伊藤弘道
    • Organizer
      第32回さいたま数理解析セミナー
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] On flat-punch indentation problems within the context of linearized viscoelasticity2020

    • Author(s)
      Itou Hiromichi、Kovtunenko Victor A.、Rajagopal Kumbakonam R.
    • Organizer
      日本数学会2020年度秋季総合分科会 函数方程式論分科会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 距離弱化型摩擦則を伴なう動的自己相似亀裂の解析解2020

    • Author(s)
      平野史朗・伊藤弘道
    • Organizer
      日本地震学会2020年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Dynamic antiplane self-similar crack with distance-weakening friction: an analytical solution for source parameter estimation2020

    • Author(s)
      Hirano, S., & Itou, H.
    • Organizer
      American Geophysical Union 2020 Fall Meeting, Online
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 2種溶媒の混合で駆動されるゲルの速い変形モード2020

    • Author(s)
      田中 良巳,清井 美結,Sui Jize,土井 正男
    • Organizer
      第70回高分子討論会(2020/9/17) オンライン
    • Related Report
      2020 Annual Research Report
  • [Presentation] 動的非対称性をもつ混合溶媒中のゲルの膨潤収縮ダイナミクス2020

    • Author(s)
      清井美結,田中良巳,土井正男
    • Organizer
      第68回レオロジー討論会(2020/10/21)オンライン
    • Related Report
      2020 Annual Research Report
  • [Presentation] 粗大粒子分散によるミセル溶液のレオロジー変化2020

    • Author(s)
      岡本翼,北谷星斗,田中良巳
    • Organizer
      第68回レオロジー討論会(2020/10/21)オンライン
    • Related Report
      2020 Annual Research Report
  • [Presentation] ゲルの破壊と浸透圧の力学2020

    • Author(s)
      田中良巳
    • Organizer
      材料科学における幾何と代数I 九州大学IMI共同利用研究集会(2020/9/7) オンライン
    • Related Report
      2020 Annual Research Report
  • [Presentation] 変分型フェーズフィールド破壊モデルの粘弾性流体への適用2020

    • Author(s)
      田中良巳
    • Organizer
      粘着研究会第172回(9月度)例会 (2020/9/11) オンライン
    • Related Report
      2020 Annual Research Report
  • [Presentation] A variational approach to modeling thermoelastic problems2020

    • Author(s)
      Sayahdin Alfat and Masato Kimura
    • Organizer
      The Second Russia-Japan Workshop "Mathematical analysis of fracture phenomena for elastic structures and its applications"
    • Related Report
      2020 Annual Research Report
  • [Presentation] Variational approach on crack path selection problem2020

    • Author(s)
      Alifian Mahardhika Maulana and Masato Kimura
    • Organizer
      The Second Russia-Japan Workshop "Mathematical analysis of fracture phenomena for elastic structures and its applications"
    • Related Report
      2020 Annual Research Report
  • [Presentation] On unilateral contact problems with friction for an elastic body with cracks2020

    • Author(s)
      Hiromichi Itou
    • Organizer
      RIMS共同研究(公開型)「偏微分方程式による逆問題解析とその周辺」
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A nonlinear integro-differential equation for earthquake faulting2020

    • Author(s)
      Hirano, S.
    • Organizer
      RIMS Workshop on Analysis of inverse problems through partial differential equations and related topics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 狭空間での弾性シートの破壊:座屈とき裂伸展の干渉効2020

    • Author(s)
      増田千紘, 工藤大嗣, 松井和己, 田中良巳
    • Organizer
      日本応用数理学会 第16回研究部会連合発表会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Two dimensional snow crystal growth model using generalized crystalline motion2019

    • Author(s)
      Masato Kimura
    • Organizer
      RIMS Workshop: ”Pattern formation and defects in biology and materials science”
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 一般化クリスタライン法による2次元雪結晶成長モデル2019

    • Author(s)
      木村正人
    • Organizer
      非線形偏微分方程式の理論と応用
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] On some problems for fracture phenomena2019

    • Author(s)
      Hiromichi Itou
    • Organizer
      Russia-Japan Workshop “Mathematical analysis of fracture phenomena for elastic structures and its applications”
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Dynamic growth of a self-similar anti-plane crack during earthquakes2019

    • Author(s)
      Hirano, S.
    • Organizer
      Russia-Japan Workshop "Mathematical analysis of fracture phenomena for elastic structures and its applications"
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Energy dissipation during dynamic antiplane self-similar crack growth2019

    • Author(s)
      Hirano, S.
    • Organizer
      CoMFoS19:Mathematical Analysis of Continuum Mechanics and Industrial Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Analytical solution of dynamic self-similar crack growth under distance-weakening friction2019

    • Author(s)
      Hirano, S.
    • Organizer
      Numerical Modeling of Earthquake Motions: Waves and Ruptures
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 螺旋の濡れの安定形態2019

    • Author(s)
      田中良巳
    • Organizer
      界面現象の数理・モデリング研究合宿2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] ソフトマターの破壊:柔らかさが応力集中を低減する2つの事例2019

    • Author(s)
      田中良巳
    • Organizer
      大阪大学基礎工学研究科機能創成セミナー 兼 日本材料学会・塑性工学部門委員会講演会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 蒸気過飽和度を考慮した2次元雪結晶成長モデル2019

    • Author(s)
      木村正人
    • Organizer
      日本数学会2019年度年会(東京工業大学、2019年3月18日)
    • Related Report
      2018 Annual Research Report
  • [Presentation] Snow crystal growth model using generalized crystalline method2019

    • Author(s)
      Masato Kimura
    • Organizer
      Taiwan-Japan Joint Workshop on Inverse Problems in Kyoto 2019 (Kyoto, Japan, March 30-31, 2019)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] エネルギー勾配流によるき裂進展モデル:粘弾性や脆化を伴う現象への応用2019

    • Author(s)
      高石武史
    • Organizer
      大阪大学MMDS主催スタディーグループ マルチマテリアル産業へ向けての数理とデータサイエンス (大阪大学、2019年2月6日)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Gradient Flow Model of Fracture and Its Applications2019

    • Author(s)
      Yoshimi Tanaka
    • Organizer
      BIRS workshop "Phase-Field models of Fracture (Banff, Canada, 2019.3.3-8)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A delamination-vibration model and its finite element analysis2018

    • Author(s)
      Masato Kimura
    • Organizer
      CoMFoS18: Mathematical Analysis of Continuum Mechanics II (Kyoto, June 13-15, 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Gradient flow structure of the Maxwell-Zener model for viscoelasticity2018

    • Author(s)
      Masato Kimura
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Taipei, July 5-9, 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Snow crystal growth model with supersaturation of vapor2018

    • Author(s)
      Masato Kimura
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2018 (Noto, Japan, July 13-16, 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Phase field modeling for crack propagation with irreversibility2018

    • Author(s)
      Masato Kimura
    • Organizer
      China-Japan Symposium on Defects and Cracks in 2018 CSIAM Annual Meeting (Chengdu, China, September 14-16, 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A structure preserving finite element method for Maxwell type viscoelasticity problem2018

    • Author(s)
      Masato Kimura
    • Organizer
      Japan-Taiwan Joint Workshop on Scientific Computation and Related Topics (Taipei, November 24-26, 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical model of the crack growth with phase field approach and its numerical simulation2018

    • Author(s)
      高石武史
    • Organizer
      第12回 産総研・東北大 MathAM-OIL セミナー(東北大学、2018年5月15日)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] エネルギー勾配流によるき裂進展モデルの導出とその応用について2018

    • Author(s)
      高石武史
    • Organizer
      大阪大学MMDSワークショップ 工学と数学の接点を求めて(大阪大学、2018年11月28日)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Soft Matter Mechanics2018

    • Author(s)
      Yoshimi Tanaka
    • Organizer
      CoMFoS18: Mathematical Analysis of Continuum Mechanics II (Kyoto, June 13-15, 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 制限された空間での弾性薄膜の破壊2018

    • Author(s)
      赤堀 裕介,増田千紘,田中 良巳
    • Organizer
      日本応用数理学会2018年度年会(名古屋大学、2018年9月3-5日)
    • Related Report
      2018 Annual Research Report
  • [Presentation] Free boundary problems of hyperbolic type with a focus on the free boundary conditions2018

    • Author(s)
      Seiro Omata
    • Organizer
      The 11th MSJ-SI (北海道大学、2018年7月2-13日)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On an interfacial self-similar crack problem in anti-plane deformation2018

    • Author(s)
      Hiromichi Itou
    • Organizer
      9th International Conference IP:M&S (Inverse Problems: Modeling and Simulation)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A phase field model for crack propagation and some applications2018

    • Author(s)
      Masato Kimura
    • Organizer
      Applied Analysis Seminar, Louisiana State University
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Contacting crack faces within the context of nonlinear elastic bodies exhibiting limiting strain2018

    • Author(s)
      Hiromichi Itou
    • Organizer
      2nd International Conference on "Modern Mathematical Methods and High Performance Computing in Science and Technology" (M3HPCST-2018)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] ある非線形弾性体におけるき裂問題とその面外変形の場合について2018

    • Author(s)
      伊藤弘道
    • Organizer
      第54回東工大数理解析セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] On frictional problems in elasticity2018

    • Author(s)
      Hiromichi Itou
    • Organizer
      Seminar "Boundary-value problems in domains with nonsmooth boundaries"
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 高速で拡大する自己相似な面外亀裂の特異積分方程式2018

    • Author(s)
      平野史朗
    • Organizer
      日本応用数理学会 第14回 研究部会連合発表会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Some remarks on a time-explicit particle methods for flow problems2018

    • Author(s)
      Daiuke Tagami
    • Organizer
      ANZIAM Conference 2018
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Unidirectional diffusion equation and application to crack growth models2017

    • Author(s)
      Masato Kimura
    • Organizer
      Karlstad Applied Analysis Seminar
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maxwell-Zener 粘弾性モデルの勾配流構造とその数値解法2017

    • Author(s)
      木村正人
    • Organizer
      日本応用数理学会2017年度年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Analysis of unidirectional diffusion equation and its gradient flow structure2017

    • Author(s)
      Masato Kimura
    • Organizer
      The 42nd Sapporo Symposium on Partial Differential Equations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonlinear elasticity with limiting small strain for cracks subject to non-penetration2017

    • Author(s)
      Hiromichi Itou
    • Organizer
      International Conference on Elliptic and Parabolic Problems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On crack problems for nonlinear elasticity2017

    • Author(s)
      Hiromichi Itou
    • Organizer
      保存則をもつ偏微分方程式に対する解の特異性および漸近挙動の研究
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] き裂を含む領域における偏微分方程式の解析2017

    • Author(s)
      伊藤弘道
    • Organizer
      2017年日本数学会 秋季総合分科会 函数方程式論分科会 特別講演
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] On direct and inverse problems involving cracks in elasticity2017

    • Author(s)
      Hiromichi Itou
    • Organizer
      Geometry and Inverse Problems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On inverse crack problems by means of the enclosure method2017

    • Author(s)
      Hiromichi Itou
    • Organizer
      The 15th Annual Meeting of the China Society for Industrial and Applied Mathematics(CSIAM2017), A3 Workshop on Modeling and Computation of Applied Inverse Problems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On inverse problems of a crack and a cavity in linearized elasticity2017

    • Author(s)
      Hiromichi Itou
    • Organizer
      A3 Workshop on Applied Inverse Problems and Related Topics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] フェーズフィールド法による破壊現象の数値解析および粘弾性流体への適用2017

    • Author(s)
      高石武史
    • Organizer
      粘弾性流体の破壊・勉強会 (東京大学地震研究所)
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] フェーズフィールドを用いた粘弾性き裂進展モデル2017

    • Author(s)
      高石武史
    • Organizer
      先端化学・材料技術部会 コンピュータケミストリ分科会 講演会(新化学技術推進協会)
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Maxwell粘弾性き裂モデルとその数値シミュレーション2017

    • Author(s)
      高石武史
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] フェーズフィールドを用いたき裂進展モデルとその拡張2017

    • Author(s)
      高石武史
    • Organizer
      第30回計算力学講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] To extend the phase field model to non-brittle crack growth2017

    • Author(s)
      Takeshi Takaishi
    • Organizer
      International Conference CoMFoS17: Mathematical Analysis of Continuum Mechanics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] To extend the phase field model to non-brittle crack growth2017

    • Author(s)
      Yoshimi Tanaka
    • Organizer
      International Conference CoMFoS17: Mathematical Analysis of Continuum Mechanics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical modeling and numerical simulation of unilateral dynamic rupture propagation along very-long reverse faults2017

    • Author(s)
      Shiro Hirano
    • Organizer
      American Geophysical Union 2017 Fall Meeting
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 長大逆断層の一方向破壊をもたらす媒質境界と応力場2017

    • Author(s)
      平野史朗
    • Organizer
      日本地震学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Unilateral dynamic rupture propagation along earthquake faults2017

    • Author(s)
      Shiro Hirano
    • Organizer
      International Conference CoMFoS17: Mathematical Analysis of Continuum Mechanics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 地球内部における歪み-応力構成関係とダメージの考え方2017

    • Author(s)
      平野史朗
    • Organizer
      日本応用数理学会2017年年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Energy estimation of earthquake faulting based on a wavefield inversion2017

    • Author(s)
      Shiro Hirano
    • Organizer
      RIMS workshop on "Singularity and asymptotic behavior of solutions for partial differential equations with conservation law"
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical analysis of a generalized particle-based method for convection-diffusion equations and its application2017

    • Author(s)
      Daisuke Tagami
    • Organizer
      ENUMATH 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Mathematical analysis of characteristic generalized particle methods for convection-diffusion equations2017

    • Author(s)
      Daisuke Tagam
    • Organizer
      The 12th International SPHERIC Workshop
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A reduced iterative domain decomposition method for magnetic field problems with the gauge condition2017

    • Author(s)
      Daisuke Tagami
    • Organizer
      KAUST Workshop on Computational Science and Engineering with High Performance Computers
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Free boundary problems of wave type2017

    • Author(s)
      Seiro Omata
    • Organizer
      Free Boundary Problems and Nonlinear PDEs
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] Mathematical Analysis of Continuum Mechanics and Industrial Applications III -Proceedings of the International Conference CoMFoS18- (Mathematics for Industry Volume 34)2020

    • Author(s)
      Itou, H., Hirano, S., Kimura, M., Kovtunenko, V.A., Khludnev, A.M. (Eds.)
    • Total Pages
      204
    • Publisher
      Springer
    • ISBN
      9789811560613
    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] Czech-Japanese Seminar in Applied Mathematics 2021 (online)2021

    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] The Second Russia-Japan Workshop "Mathematical analysis of fracture phenomena for elastic structures and its applications" (CoMFoS20)2020

    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] 若手研究集会「波動・振動・流れの制御と逆問題 -理論と数値計算-」2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] CoMFoS19: Mathematical Aspects of Continuum Mechanics2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] Kanazawa workshop: Gradient flows and related topics: analysis and applications2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] BIRS workshop "Phase-Field models of Fracture (Banff, Canada, 2019.3.3-8)2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] International Conference CoMFoS18: Mathematical Analysis of Continuum Mechanics II2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] International Conference CoMFoS17: Mathematical Analysis of Continuum Mechanics2017

    • Related Report
      2017 Annual Research Report

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Published: 2017-04-28   Modified: 2022-05-23  

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