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Study on
indentation contact behavior of a hyperelastic semi-infinite
solid under nonequal biaxial stretching
Cheng Fu, Huixin Wei, Xin Sun, Yuyao Wu, Guangjin Yu and Zhiwen Lan |
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Vol. 20 (2025), No. 4, 377–393
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Abstract |
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Understanding the mechanical and contact behavior of hyperelastic materials under complicated boundary conditions holds significant importance for soft material design. In this study, the indentation contacts problem of a rigid spherical indenter on a semi-infinite elastic solid under prestretching are analyzed. An incompressible hyperelastic material is applied to describe the mechanical behavior of the elastic solid. A theoretical model for accurately determining the contact radii and forces is developed by introducing the neo-Hookean strain energy function and the instantaneous elastic modulus based on the small deformation assumption. Finite element method is then used to compare to theoretical results. To efficiently process simulation data in batches, we present an automatic process based on the secondary development of Python. Such theoretical model and automatic process have potential applications in many fields such as biological tissues and the automotive industry. |
Keywords
spherical indentation, hyperelastic material, contact
behavior, unequal stretching, eccentricity
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Milestones
Received: 16 January 2025
Revised: 22 May 2025
Accepted: 9 July 2025
Published: 12 October 2025
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Authors |
| Cheng Fu | |
| School of Infrastructure
Engineering Nanchang University Nanchang, 330031 China |
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| Huixin Wei | |
| School of Infrastructure
Engineering Nanchang University Nanchang, 330031 China |
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| Xin Sun | |
| School of Mechanical
Engineering Tianjin University Tianjin, 300350 China |
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| Yuyao Wu | |
| School of Infrastructure
Engineering Nanchang University Nanchang, 330031 China |
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| Guangjin Yu | |
| School of Infrastructure
Engineering Nanchang University Nanchang, 330031 China |
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| Zhiwen Lan | |
| School of Infrastructure
Engineering Nanchang University Nanchang, 330031 China |
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| © 2025 MSP (Mathematical Sciences Publishers). |
