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粘弹性裂纹扩展的一个简单模型。

A simple model for viscoelastic crack propagation.

作者信息

Persson B N J

机构信息

PGI-1, FZ Jülich, Jülich, EU, Germany.

出版信息

Eur Phys J E Soft Matter. 2021 Feb 11;44(1):3. doi: 10.1140/epje/s10189-020-00001-w.

Abstract

When a crack propagates in a viscoelastic solid, energy dissipation can occur very far from the crack tip where the stress field may be very different from the [Formula: see text] singular form expected close to the crack tip. Most theories of crack propagation focus on the near crack tip region. Remarkable, here I show that a simple theory which does not account for the nature of the stress field in the near crack tip region results in a crack propagation energy in semiquantitative agreement with a theory based on the stress field in the near crack tip region. I consider both opening and closing crack propagation and show that for closing crack propagation in viscoelastic solids, some energy dissipation processes must occur in the crack tip process zone. The theory is illustrated by new experimental results for the adhesive interaction between a silica glass ball and a silicone rubber surface.

摘要

当裂纹在粘弹性固体中扩展时,能量耗散可能发生在远离裂纹尖端的地方,在那里应力场可能与预期的靠近裂纹尖端的[公式:见正文]奇异形式有很大不同。大多数裂纹扩展理论都集中在裂纹尖端附近区域。值得注意的是,在这里我表明,一个不考虑裂纹尖端附近区域应力场性质的简单理论,其得出的裂纹扩展能量与基于裂纹尖端附近区域应力场的理论在半定量上是一致的。我考虑了张开和闭合裂纹扩展,并表明对于粘弹性固体中的闭合裂纹扩展,一些能量耗散过程必须发生在裂纹尖端过程区。通过石英玻璃球与硅橡胶表面之间的粘附相互作用的新实验结果对该理论进行了说明。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d3e0/7878232/f9b7cbacb0c0/10189_2020_1_Fig1_HTML.jpg

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