论文标题

粘弹性裂纹传播的简单模型

A simple model for viscoelastic crack propagation

论文作者

Persson, B. N. J.

论文摘要

当裂纹在粘弹性固体能量耗散中传播时,可能发生的裂纹尖端很远,而应力场可能与$ r^{ - 1/2} $奇异形式大不相同。裂纹繁殖的大多数理论都集中在近裂纹尖端区域。引人注目的是,我在这里表明,一个简单的理论不能说明近裂纹尖端区域中应力场的性质,从而在半定量性一致性中与基于近裂纹尖端区域的应力场的理论具有裂纹的传播能量。我认为既开放式裂纹的传播,又表明要在粘弹性固体中关闭裂纹的传播,必须在thecrack Tip过程区域中发生一些能量耗散过程。

When a crack propagate in a viscoelastic solid energy dissipation can occur very far from the crack tip where the stress field may be very different from the $r^{-1/2}$ 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 result in a crack propagation energy in semi-quantitative 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 thecrack tip process zone.

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