Indentation of a non-equal biaxially stretched elastomer by an elliptic cone

IF 3.4 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Mechanics of Materials Pub Date : 2025-06-06 DOI:10.1016/j.mechmat.2025.105412

Le Du , Jianmin Long , Rui Xiao

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Abstract

By assuming the contact pressure follows an inverse hyperbolic cosine function and employing the surface Green's function method, we investigated the indentation of a non-equal biaxially stretched elastomer by an elliptic cone. We considered different rotation angles of the elliptic cone relative to the principal stretching directions of the elastomer and proposed a semi-analytical method to solve this problem. The rotation angle of the elliptic cone influences the relationship between the indentation force and the indentation depth. Additionally, we investigated the effects of the rotation angle of the elliptic cone and the pre-stretches of the elastomer on the rotation angle and eccentricity of the contact ellipse. By applying a pre-defined stress field to the elastomer, we performed finite element simulations of the present problem and found that the simulation results are in good agreement with the theoretical predictions. This work contributes to the application of indentation experiments to characterize the mechanical properties of pre-stretched soft materials, as well as to the design of contact or printing patterns.

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椭圆锥对非等量双轴拉伸弹性体的压痕

假设接触压力服从逆双曲余弦函数，采用表面格林函数方法，研究了非等双轴拉伸弹性体在椭圆锥下的压痕问题。考虑了椭圆锥相对于弹性体主拉伸方向的不同旋转角度，提出了求解该问题的半解析方法。椭圆锥的旋转角度影响压痕力与压痕深度的关系。此外，我们还研究了椭圆锥的旋转角度和弹性体的预拉伸对接触椭圆的旋转角度和偏心率的影响。通过对弹性体施加预先定义的应力场，对该问题进行了有限元模拟，发现模拟结果与理论预测相吻合。这项工作有助于应用压痕实验来表征预拉伸软材料的机械性能，以及设计接触或印刷图案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics of Materials 工程技术-材料科学：综合

CiteScore

7.60

自引率

5.10%

发文量

243

审稿时长

46 days

期刊介绍： Mechanics of Materials is a forum for original scientific research on the flow, fracture, and general constitutive behavior of geophysical, geotechnical and technological materials, with balanced coverage of advanced technological and natural materials, with balanced coverage of theoretical, experimental, and field investigations. Of special concern are macroscopic predictions based on microscopic models, identification of microscopic structures from limited overall macroscopic data, experimental and field results that lead to fundamental understanding of the behavior of materials, and coordinated experimental and analytical investigations that culminate in theories with predictive quality.