The linear viscoelastic fracture theory applies to soft solids better when they are…viscoelastic

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-17 DOI:10.1098/rspa.2023.0561
Etienne Barthel
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Abstract

Over the last half-century, linear viscoelastic models for crack growth in soft solids have flourished but their predictions have rarely been compared to experiments. In fact, most available models are either very approximate or cast in forms which are not quite suitable for the analysis of actual data. Here, we propose a linear viscoelastic approach which consistently exploits the dynamic mechanical analysis data. We apply this method to four sets of results documenting fracture or adhesion rupture in soft solids with various degrees of viscoelasticity. For elastomers, the results reproduce the well-known inconsistency of the process zone size. In more viscoelastic systems, however, the present approach is able to match the measured velocity dependence of the rupture energy with physically acceptable process zone sizes. Moreover, our predictions agree with the damage zone sizes measured by mechanoluminescence. Building on these results, we discuss various issues arising when evaluating the linear viscoelastic contribution to the rupture/adhesion energy in soft solids: data quality, physical interpretation of the parameters, validity of simpler approximations and limitations of the present approach.

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线性粘弹性断裂理论更适用于具有......粘弹性的软固体。
在过去的半个世纪里,有关软固体裂纹生长的线性粘弹性模型得到了蓬勃发展,但这些模型的预测结果却很少与实验进行比较。事实上,大多数现有模型要么非常近似,要么其形式不太适合实际数据分析。在此,我们提出了一种线性粘弹性方法,该方法可持续利用动态力学分析数据。我们将该方法应用于四组结果,这些结果记录了具有不同粘弹性的软固体的断裂或粘着断裂情况。对于弹性体,结果再现了众所周知的加工区大小的不一致性。然而,在粘弹性更强的系统中,本方法能够将测量到的断裂能量速度依赖性与物理上可接受的加工区尺寸相匹配。此外,我们的预测与机械发光法测得的损伤区尺寸一致。在这些结果的基础上,我们讨论了在评估线性粘弹性对软固体断裂/粘附能量的贡献时出现的各种问题:数据质量、参数的物理解释、较简单近似的有效性以及本方法的局限性。
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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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