Identifying Viscoelastic Characteristic Functions Using Global Digital Image Correlation and Inverse Analysis

• Project/Area Number: 18K03845
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 18010:Mechanics of materials and materials-related
• Research Institution: Aoyama Gakuin University
• Principal Investigator: Yoneyama Satoru 青山学院大学, 理工学部, 教授 (90306499)
• Project Period (FY): 2018-04-01 – 2021-03-31
• Project Status: Completed (Fiscal Year 2020)
• Budget Amount: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2018: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
• Keywords: 逆問題解析 / 粘弾性 / ひずみ測定 / 画像相関法

Outline of Final Research Achievements

This study proposes a method for determining the relaxation bulk and shear moduli simultaneously based on the virtual fields method. In-plane displacements and strains are measured and the through-thickness strain is computed form the in-plane strains using the numerical Laplace transform based on the correspondence principle. The unknown material property functions are determined by solving nonlinear simultaneous equations obtained from the principle of virtual work and the constitutive equations of viscoelasticity. The effectiveness of the proposed method is demonstrated by applying it to the displacement fields obtained by finite element analysis and the measured fields measured by digital image correlation.

Academic Significance and Societal Importance of the Research Achievements

この方法では，独立した2種類の粘弾性材料特性を同一の試験片を用いて同時に決定することが可能であり，従来から指摘されてきた材料特性評価の精度に関する問題が解消できる．そのため，高分子材料など粘弾性挙動を示す材料で構成される機器・構造物の応力解析の精度が向上しそれらの信頼性向上が期待できる．また，この方法を実現するために本研究で開発した数値ラプラス変換を用いた応力算出法や非線形バーチャルフィールド法は，粘弾性力学および逆問題解析それぞれにおいて今後の発展に資する技術である．

Research Products

• [Journal Article] Computing Stresses from Measured In-plane Strains in Viscoelastic Body under Plane Stress Condition (2020)
  • Author(s): Taguchi, S., Takeo, K. and Yoneyama, S.
  • Journal Title: Advanced Experimental Mechanics Volume: 5 Issue: 0 Pages: 135-140
  • DOI: 10.11395/aem.5.0_135
  • NAID: 130007953463
  • ISSN: 2189-4752, 2424-175X
  • Year and Date: 2020-08-31
  • Peer Reviewed / Open Access
• [Presentation] Inverse Analysis of Viscoelastic Material Properties Considering Time- and Temperature-Dependence of Poisson’s Ratio (2021)
  • Author(s): Taguchi, S. and Yoneyama, S.
  • Organizer: International Conference on Computational and Experimental Engineering and Sciences
  • Int'l Joint Research
• [Presentation] Evaluating Stresses from Measured Strains in Viscoelastic Body Using Numerical Laplace Transformation (2020)
  • Author(s): Taguchi, S., Takeo, K. and Yoneyama, S.
  • Organizer: SEM XIV International Congress on Experimental Mechanics
  • Int'l Joint Research
• [Presentation] 数値ラプラス変換を用いた平面応力状態における粘弾性体の応力算出手法の確立 (2020)
  • Author(s): 田口祥太郎, 竹尾恭平, 米山 聡
  • Organizer: 第51回応力・ひずみ測定と強度評価シンポジウム
• [Presentation] ポアソン比の時間依存性を考慮した逆問題解析による粘弾性材料特性の同定 (2020)
  • Author(s): 佐々木壮一朗, 田口祥太郎, 竹尾恭平, 米山 聡
  • Organizer: 第51回応力・ひずみ測定と強度評価シンポジウム
• [Presentation] Computing Stresses from Measured In-plane Strains in Viscoelastic Body under Plane Stress Condition (2019)
  • Author(s): Taguchi, S., Takeo, K. and Yoneyama, S.
  • Organizer: The 14th International Symposium on Advanced Science and Technology in Experimental Mechanics
  • Int'l Joint Research
• [Presentation] Simultaneous Identification of Two-independent Viscoelastic Characteristics with the Virtual Fields Method (2019)
  • Author(s): Hoshino, Y., Zhang, Y. and Yoneyama, S.
  • Organizer: International Conference on Computational & Experimental Engineering and Sciences
  • Int'l Joint Research / Invited
• [Remarks] 青山学院大学理工学部機械創造工学科材料力学研究室
  • URL: http://www.me.aoyama.ac.jp/~yoneyama/