从远处看:沙特尔沃斯再次访问
Stefanie Heyden1, Nicolas Bain2
1ETH Zürich, Institute for Building Materials, 8093 Zürich, Switzerland. stefanie.heyden@mat.ethz.ch.
Soft matter
|July 8, 2024
概括
用于软表面的Shuttleworth方程在较大的变形时被重新评估. 弹性常数取决于使用的应力测量,影响表面弹性模块估计.
科学领域:
- 材料科学 材料科学 材料科学
- 固体力学 固体力学是什么
- 表面物理 表面物理
背景情况:
- 沙特尔沃斯方程是一个线性应力-应变关系,通常用于模拟软表面行为.
- 它对经历大变形的材料的适用性目前正在研究和辩论中.
研究的目的:
- 在有限的动力学框架内推导出表面的构成性行为,以适应大的变形.
- 分析不同应力测量对弹性常数和表面弹性模块的影响.
- 为了研究表面放松对表面弹性模块估计的影响.
主要方法:
- 使用有限动力学的一般框架来推导构成性行为.
- 在无限小的应用变形之前,区分有限和无限小的表面放松.
- 在有限和线性设置中分析弹性常数.
主要成果:
- 沙特尔沃斯方程对应于Cauchy应力测量在一个完全线性化的背景下.
- 测量的弹性常数被证明取决于所选择的应力测量,无论考虑的是有限的还是线性化的情况.
- 表面松显著影响到表面弹性模块的估计.
结论:
- 在大的变形下,Shuttleworth方程的有效性需要仔细考虑应力测量.
- 结果为软表面的行为和预先应用变形的影响提供了物理洞察力.
- 精确估计表面弹性模块需要考虑表面放松效应和应力测量的选择.
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