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Indentation of
compressible soft polymers in prestretched state
Hailiang Ma, Yueting Zhou, Xing Li, Shenghu Ding and Xu Wang |
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Vol. 20 (2025), No. 3, 327–352
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DOI: 10.2140/jomms.2025.20.327
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Abstract |
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Prestrains and residual stresses have certain impacts on the characteristics and functions of soft materials and tissues. Consequently, prestrains and residual stresses also influence the indentation test of soft materials. This paper focuses on the indentation contact of a compressible rubber polymer with prestretching conditions. It derives the semi-analytical expressions for the ratio of the indentation force to the indentation depth and the stress distribution. Subsequently, these semi-analytical expressions can be simplified into analytical expressions in the equiaxial prestretching case. Based on the deduced results, the influences of prestrain, ambient temperature, and indenter parameters on indentation force, indentation depth, and stress distribution parameters are further analyzed. The results indicate that the compressibility of the material makes the surface stiffness of the material increase under the condition of prestretching, resulting in a smaller indentation force or indentation depth during the indentation test. The analytical expressions obtained here in the equiaxial prestretching situation provides a theoretical reference for the indentation test of some soft materials. |
Keywords
prestrain, compressible soft material, neo-Hookean
material, surface Green's function
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Milestones
Received: 22 April 2025
Revised: 6 July 2025
Accepted: 15 July 2025
Published: 2 September 2025
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Authors |
| Hailiang Ma | |
| School of Mathematical
Statistics Ningxia University Yinchuan, 750021 China |
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| Yueting Zhou | |
| School of Aerospace and
Mechanics Tongji University Shanghai, 200092 China |
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| Xing Li | |
| School of Mathematical
Statistics Ningxia University Yinchuan, 750021 China |
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| Shenghu Ding | |
| School of Mathematical Statistics
and Ningxia Key Laboratory of Interdisciplinary Mechanics and
Scientific Computing Ningxia University Yinchuan, 750021 China |
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| Xu Wang | |
| School of Mathematics and
Statistics Ningxia University Yinchuan, 750021 China |
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| © 2025 MSP (Mathematical Sciences Publishers). |
