The advancement of gel material modeling and the bifurcation buckling analysis frontier of growth-induced morphogenesis

2022 Fiscal Year Final Research Report

• Project/Area Number: 19H00739
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Review Section: Medium-sized Section 18:Mechanics of materials, production engineering, design engineering, and related fields
• Research Institution: Nagoya University
• Principal Investigator: Okumura Dai 名古屋大学, 工学研究科, 教授 (70362283)
• Co-Investigator(Kenkyū-buntansha): 内田 真 大阪公立大学, 大学院工学研究科, 准教授 (90432624) ; 田中 展 大阪大学, 大学院工学研究科, 准教授 (70550143) ; 伊田 翔平 滋賀県立大学, 工学部, 講師 (80610740)
• Project Period (FY): 2019-04-01 – 2023-03-31
• Keywords: 固体力学 / 材料力学 / ゲル / 高分子合成 / 不安定変形 / 膨潤 / パターン変態 / 形態形成

Outline of Final Research Achievements

This research project aimed at the advancement of gel material modeling and the bifurcation buckling analysis frontier of growth-induced morphogenesis. In the gel material modeling, the Flory-Rehner free energy form is generally considered, and the theoretical solution for evaluating the state-dependent elastic properties is derived in a general form. Experimental studies were also carried out to clarify the molecular chain extensibility effect and the viscosity effect. By applying the step-by-step eigenvalue buckling analysis proposed by the representative, we succeeded in clarifying the process on the bifurcation path for the relationship between the complex deformation pattern and the bifurcation mode. Furthermore, it was demonstrated that pattern transformation can be induced by combining the mechanisms of the gelation process.

Free Research Field

固体力学

Academic Significance and Societal Importance of the Research Achievements

本研究の遂行によって，ゲル材料の状態に依存した弾性特性評価の理論的な道筋が明るくなった．形態形成における，変形パターンの複雑化は分岐モードとしては比較的単純な組み合わせに依存しており，逐次的な解析によってトレース可能であることがわかり，全貌解明につながることが世界で初めて明らかとなった．これらの知見を組み合わせれば，今後の成長誘起形態形成の実験や計算の解釈や機構解明が容易になり，工学的な応用に発展する下地となる研究成果が得られた．