Analytical Study of Axisymmetric Indentation for Poroelastic Multi-Layer Coating on Substrate Body

2022 Fiscal Year Final Research Report

• Project/Area Number: 20K14612
• Research Category: Grant-in-Aid for Early-Career Scientists
• Allocation Type: Multi-year Fund
• Review Section: Basic Section 18010:Mechanics of materials and materials-related
• Research Institution: Hirosaki University (2022); Seikei University (2020-2021)
• Principal Investigator: Miura Kotaro 弘前大学, 理工学研究科, 助教 (30846829)
• Project Period (FY): 2020-04-01 – 2023-03-31
• Keywords: 接触問題 / 関節軟骨 / 積層構造 / 多孔質材料 / 弾性論

Outline of Final Research Achievements

We considered the axisymmetric indentation of poroelastic multi-coating bonded to poroelastic substrate indented by a rigid flat-ended cylindrical indenter. The approach that expressed poroelastic solutions in term of two displacement functions and the transfer matrix method which can formulate the effect of multi-layer composite were applied in this study. Furthermore, we adopted the analytic method that using Laplace-Hankel transform and expressing the normal contact stress at the surface layer as an appropriate series with a Chebyshev orthogonal polynomial to reduce dual integral equations to an infinite system of simultaneous equations in Laplace transform domain. The results of axial displacement for one-layer bonded to rigid impervious substrate given by this study were good agreement with previously reported results. It is found that the permeability of the surface and substrate have a significant effect on the rate of progression of axial displacement of indenter.

Free Research Field

弾性論

Academic Significance and Societal Importance of the Research Achievements

関節軟骨の力学的特性を正確に表現するために湿潤多孔質弾性体としてモデル化し，基礎的な押込み接触問題に対して解析解を求めた．積層構造を考慮したこの解析解は，インデンテーション試験により関節軟骨の変性度合いや水分含有量によって変化する力学的特性を評価する実験解析に利用することができる．関節軟骨の力学的特性が正確に評価できれば，軟骨の変性疾患の早期診断等に応用できると考えている．