| Item type |
リポジトリ登録用アイテムタイプ（シンプル）(1) |
| 公開日 |
2025-12-10 |
| タイトル |
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タイトル |
Semi-analytical solution of axisymmetric indentation of poroelastic multi-layer coating on a substrate |
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言語 |
en |
| 言語 |
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言語 |
eng |
| 資源タイプ |
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資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
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資源タイプ |
journal article |
| アクセス権 |
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アクセス権 |
open access |
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アクセス権URI |
http://purl.org/coar/access_right/c_abf2 |
| 著者 |
Miura, Kotaro
| en |
Miura, Kotaro
Graduate School of Science and Technology, Hirosaki University
|
Search repository
Sakamoto, Makoto
Sasagawa, Kazuhiko
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| 抄録 |
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内容記述タイプ |
Abstract |
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内容記述 |
We propose a novel semi-analytical solution of the indentation problem for a poroelastic multi-layer system. This study addresses the time-dependent behavior of materials, such as biological tissues, where mechanical properties vary within the structures. The axisymmetric indentation of a poroelastic multicoating bonded to a poroelastic substrate indented by a rigid, flat-ended cylindrical indenter are investigated. Poroelastic solutions are expressed through two displacement functions, and the transfer matrix method is employed to formulate the effect of a multi-layer composite. In addition, we adopt an analytical method that uses the Laplace–Hankel transform and expresses the normal contact stress at the surface layer as an appropriate series in terms of Chebyshev orthogonal polynomials to reduce the dual integral equations to an infinite system of simultaneous equations in the Laplace transform domain. Subsequently, a numerical inverse Laplace transform is applied to obtain numerical results for the time-dependent consolidation of the rigid cylindrical indenter. Results of consolidation for a single layer bonded to a rigid impervious substrate are consistent with those reported in previous studies. This study examined various combinations of the material properties of a poroelastic multi-layer system. We focus on the effects of the shear modulus, drained and undrained Poisson's ratios, permeability of the surface layer and substrate, and poroelastic layers on the consolidation of the rigid indenter. It is confirmed from the numerical results that consolidation varies with various parameters. These results can be applied to a simplified evaluation of the mechanical properties for multi-layer poroelastic materials by indentation tests. |
|
言語 |
en |
| 書誌情報 |
en : ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
巻 105,
号 9,
p. e70209,
発行日 2025-09-17
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| ISSN |
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収録物識別子タイプ |
PISSN |
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収録物識別子 |
0044-2267 |
| ISSN |
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収録物識別子タイプ |
EISSN |
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収録物識別子 |
1521-4001 |
| DOI |
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関連タイプ |
isIdenticalTo |
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識別子タイプ |
DOI |
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関連識別子 |
https://doi.org/10.1002/zamm.70209 |
| 権利情報 |
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言語 |
en |
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権利情報 |
© 2025 The Author(s). ZAMM - Journal of Applied Mathematics and Mechanics published by Wiley-VCH GmbH. |
| 権利情報 |
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言語 |
en |
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権利情報 |
This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made. |
| 出版タイプ |
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出版タイプ |
VoR |
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出版タイプResource |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| 出版者 |
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出版者 |
Wiley |
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言語 |
en |
Z Angew Math Mech_2025_105(9)_e70209.pdf (1.2 MB)
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