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大变形下橡胶中慢裂纹扩展的振荡不稳定性

Oscillatory instability in slow crack propagation in rubber under large deformation.

作者信息

Endo Daiki, Sato Katsuhiko, Hayakawa Yoshinori

机构信息

Department of Physics, Tohoku University, Sendai 980-8578, Japan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 2):016106. doi: 10.1103/PhysRevE.86.016106. Epub 2012 Jul 11.

DOI:10.1103/PhysRevE.86.016106
PMID:23005490
Abstract

We performed experiments to investigate slow fracture in thin rubber films under uniaxial tension using high-viscosity oils. In this system we observed an oscillating instability in slowly propagating cracks for small applied strains. The transition between oscillatory and straight patterns occurred near the characteristic strain at which rubber exhibits a nonlinear stress-strain relation. This suggests that nonlinear elasticity plays an important role in the formation of the observed pattern. This was confirmed by numerical simulation for neo-Hookean and linear elasticity models.

摘要

我们进行了实验,以研究在单轴拉伸下使用高粘度油的薄橡胶膜中的缓慢断裂。在该系统中,我们观察到在小的外加应变下缓慢扩展裂纹中的振荡不稳定性。振荡模式和直线模式之间的转变发生在橡胶呈现非线性应力 - 应变关系的特征应变附近。这表明非线性弹性在观察到的模式形成中起重要作用。这通过对新胡克弹性模型和线性弹性模型的数值模拟得到了证实。

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