Development of large deformation meshfree method and processoptimization in thermal nanoimprint

• Project/Area Number: 22760095
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Production engineering/Processing studies
• Research Institution: Tokyo Institute of Technology
• Principal Investigator: ONISHI Yuki 東京工業大学, 大学院・情報理工学研究科, 助教 (20543747)
• Project Period (FY): 2010 – 2012
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000); Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: ナノ・マイクロ加工 / 熱ナノインプリント / メッシュフリー法 / 増分形陰的釣合方程式 / 有限要素法 / メッシュリゾーニング / 大変形解析 / 大変形 / 増分形釣合方程式 / 速度形仮想仕事式 / ガラーキンメッシュフリー法 / リゾーニング付き有限要素法 / 浮動応力点積分 / 内力増分 / 移動最小二乗法

Research Abstract

A floating stress-point integration meshfree method and a mesh rezoning finite element method based on the incremental equilibrium equation are developed. Both methods are novel numerical method to analyze large deformation of soft materials, such as heated polymers and glasses, stably and accurately. These outcomes are expected to be effective means of the numerical optimization for fabrication processes with large deformation like thermal nanoimprint.

Research Products

• [Journal Article] A Novel Static-Implicit Finite Element Formulation for Large Deformation Analysis Based on the Incremental Equilibrium Equation (2013)
  • Author(s): Yuki ONISHI, Kenji AMAYA.
  • Journal Title: Theoretical and Applied Mechanics Japan Volume: Vol.61 Pages: 135-144
  • NAID: 130004463837
• [Journal Article] A Novel Static-Implicit Finite Element Formulation for Large Deformation Analysis Based on the Incremental Equilibrium Equation (2013)
  • Author(s): Yuki ONISHI
  • Journal Title: Theoretical and Applied Mechanics Japan Volume: 61 Pages: 135-144
  • NAID: 130004463837
  • Peer Reviewed
• [Journal Article] Floatingstress-point integration meshfree method for large deformation analysis of elastic and elastoplastic materials (2012)
  • Author(s): Yuki ONISHI, Kenji AMAYA
  • Journal Title: International Journal for Numerical Methods in Engineering Volume: Vol.92 Pages: 36-55
• [Journal Article] Floating stress-point integration meshfree method for large deformation analysis of elastic and elastoplastic materials (2012)
  • Author(s): Yuki ONISHI
  • Journal Title: International Journal for Numerical Methods in Engineering Volume: 92 Issue: 1 Pages: 36-55
  • DOI: 10.1002/nme.4321
  • Peer Reviewed
• [Journal Article] 内力増分を用いた浮動応力点積分の定式化によるメッシュフリー大変形解析 (2011)
  • Author(s): 大西有希, 天谷賢治.
  • Journal Title: 日本機械学会論文集A編 Volume: Vol.77,No.782 Pages: 1656-1670
  • NAID: 130001423269
• [Journal Article] Meshfree Large Deformation Analysis Based on Formulation of Floating Stress-Point Integration with Incremental Internal Force (2011)
  • Author(s): 大西有希, 天谷賢治
  • Journal Title: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A Volume: 77 Issue: 782 Pages: 1656-1670
  • DOI: 10.1299/kikaia.77.1656
  • NAID: 130001423269
  • ISSN: 0387-5008, 1884-8338
  • Peer Reviewed
• [Journal Article] A Novel MeshfreeMethod for Large Deformation Analysis of Elastic and Viscoelastic Bodies without using Background Cells (2010)
  • Author(s): Y. Onishi, K. Amaya.
  • Journal Title: Journal of Solid Mechanics and Materials Engineering Volume: Vol.4,No.11 Pages: 1673-1686
• [Journal Article] A Novel Meshfree Method for Large Deformation Analysis of Elastic and Viscoelastic Bodies without using Background Cells (2010)
  • Author(s): Y.Onishi, K.Amaya
  • Journal Title: Journal of Solid Mechanics and Materials Engineering Volume: 4 Pages: 1673-1686
  • NAID: 130000420996
  • Peer Reviewed
• [Presentation] 増分形釣合方程式に基づく陰的有限要素法による大変形弾塑性リゾーニング解析 (2013)
  • Author(s): 大西有希, 天谷賢治.
  • Organizer: 第62回理論応用力学講演会,第62回理論応用力学講演会講演論文集
  • Place of Presentation: 東京工業大学
• [Presentation] 増分形釣合方程式に基づく陰的有限要素法による大変形弾塑性リゾーニング解析 (2013)
  • Author(s): 大西有希
  • Organizer: 第62回理論応用力学講演会
  • Place of Presentation: 東京工業大学（東京都）
• [Presentation] A StableRezoning Method for Large Deformation Finite Element Analysis using Incremental Equilibrium Equation (2012)
  • Author(s): Yuki ONISHI, Kenji AMAYA
  • Organizer: International Computational Mechanics Symposium (ICMS)
  • Place of Presentation: Kobe,Japan
• [Presentation] A novelfinite element formulation for large deformation analysis based on incremental equilibrium equation in conjunction with rezoning technique (2012)
  • Author(s): Yuki ONISHI, Kenji AMAYA
  • Organizer: 10th World Congress on Computational Mechanics (WCCM2012), Proceedings of the 10th World Congress on Computational Mechanics (WCCM2012)
  • Place of Presentation: Sao Paulo, Brazil
• [Presentation] 増分形釣合方程式を用いた大変形有限要素解析におけるリゾーニング法の安定化 (2012)
  • Author(s): 大西有希, 天谷賢治
  • Organizer: M&M若手シンポジウム
  • Place of Presentation: KKR函館
• [Presentation] 増分形釣合方程 式に基づくRezoning付き有限要素法による静的陰解法大変形解析 (2012)
  • Author(s): 大西有希, 天谷賢治
  • Organizer: 第17回計算工学講演会,計算工学講演会論文集
  • Place of Presentation: 京都教育文化センター
• [Presentation] 増分形釣合方程式に基づく大変形有限要素法の定式化 (2012)
  • Author(s): 大西有希, 天谷賢治
  • Organizer: 第61回理論応用力学講演会
  • Place of Presentation: 東京大学
• [Presentation] A Stable Rezoning Method for Large Deformation Finite Element Analysis using Incremental Equilibrium Equation (2012)
  • Author(s): Yuki ONISHI
  • Organizer: International Computational Mechanics Symposium (ICMS)
  • Place of Presentation: Kobe Univ. and FIBER Konan Univ. (Hyogo), Japan
• [Presentation] A novel finite element formulation for large deformation analysis based on incremental equilibrium equation in conjunction with rezoning technique (2012)
  • Author(s): Yuki ONISHI
  • Organizer: 10th World Congress on Computational Mechanics (WCCM)
  • Place of Presentation: Sao Paulo, Brazil
• [Presentation] 増分形釣合方程式を用いた大変形有限要素解析におけるリゾーニング法の安定化 (2012)
  • Author(s): 大西有希
  • Organizer: M&M若手シンポジウム
  • Place of Presentation: KKR函館（北海道）
• [Presentation] 増分形釣合方程式に基づくRezoning付き有限要素法による静的陰解法大変形解析 (2012)
  • Author(s): 大西有希
  • 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）
• [Presentation] Meshfree Large Deformation Analysis with Modified Formulation of Floating Stress-point Integration (2011)
  • Author(s): Yuki ONISHI, Kenji AMAYA, Ryuta IMAI
  • Organizer: 2nd International Conference on Particle-based Methods
  • Place of Presentation: UPC Barcelona, Spain
  • Year and Date: 2011-10-26
• [Presentation] 増分型仮想仕事式と浮動応力点積分に基づく大変形解析のためのGalerkinメッシュフリー法の定式化 (2011)
  • Author(s): 大西有希, 天谷賢治
  • Organizer: 第60回 理論応用力学講演会
  • Place of Presentation: 東京工業大学
  • Year and Date: 2011-03-08
• [Presentation] Meshfree Large Deformation Analysis with Modified Formulation of Floating Stress-point Integration (2011)
  • Author(s): Yuki ONISHI, Kenji AMAYA, Ryuta IMAI.
  • Organizer: 2nd International Conference on Particle-based Methods
  • Place of Presentation: Barcelona, Spain.
• [Presentation] 浮動応力点積分メッシュフリー法を用いた大変形弾塑性解析 (2011)
  • Author(s): 大西有希, 天谷賢治.
  • Organizer: 第24回計算力学講演会
  • Place of Presentation: 岡山大学
• [Presentation] 内力増分を用いた浮動応力点積分の定式化によるメッシュフリー大変形解析 (2011)
  • Author(s): 大西有希, 天谷賢治.
  • Organizer: 第16回計算工学講演会
  • Place of Presentation: 東京大学
• [Presentation] 増分型仮想仕事式と浮動応力点積分に基づく大変形解析のためのGalerkinメッシュフリー法の定式化 (2011)
  • Author(s): 大西有希, 天谷賢治.
  • Organizer: 第60回理論応用力学講演会
  • Place of Presentation: 東京工業大学
• [Presentation] 浮動応力点積分によるメッシュフリー大変形解析 (2010)
  • Author(s): 大西有希, 天谷賢治
  • Organizer: 第23回 計算力学講演会
  • Place of Presentation: 北見工業大学
  • Year and Date: 2010-09-23
• [Presentation] A Meshfree Approach for Large Deformation Analysis in Thermal Nanoimprint (2010)
  • Author(s): Y.Onishi, K.Amaya
  • Organizer: The 3rd Asian Symposium on Nano Imprint Lithography
  • Place of Presentation: つくば国際会議場
  • Year and Date: 2010-07-01
• [Presentation] 浮動評価点積分による大変形解析のためのメッシュフリー法 (2010)
  • Author(s): 大西有希, 天谷賢治
  • Organizer: 第15回 計算工学講演会
  • Place of Presentation: 九州大学
  • Year and Date: 2010-05-27
• [Presentation] A Meshfree Approach for Large Deformation Analysis in Thermal Nanoimprint (2010)
  • Author(s): Y. ONISHI, KENJI AMAYA.
  • Organizer: The3rd Asian Symposium on Nano Imprint Lithography (ASNIL)
  • Place of Presentation: Tsukuba,Japan.
• [Presentation] 浮動応力点積分によるメッシュフリー大変形解析 (2010)
  • Author(s): 大西有希, 天谷賢治.
  • Organizer: 第23回計算力学講演会
  • Place of Presentation: 北見工業大学
• [Presentation] 浮動評価点積分による大変形解析のためのメッシュフリー法 (2010)
  • Author(s): 大西有希, 天谷賢治.
  • Organizer: 第15回計算工学講演会
  • Place of Presentation: 九州大学
• [Book] YUKI ONISHI. PARTICLE-BASED METHODS II Fundamentals and Applications (2011)
  • Author(s): E. Onate, D. R. J. Owen (Eds.)
  • Publisher: International Center for Numerical Methods in Engineering (CIMNE)
• [Book] PARTICLE-BASED METHOD II Fundamentals and Applications (2011)
  • Author(s): E.Onate, D.R.J.Owen (Eds.)
  • Publisher: International Center for Numerical Methods in Engineering
• [Remarks]
  • URL: http://www.a.mei.titech.ac.jp/~yonishi/