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扩展裂纹尖端过程区的形态转变。II. 过程区的几何参数。

Morphological transformation of the process zone at the tip of a propagating crack. II. Geometrical parameters of the process zone.

作者信息

Boulbitch Alexei, Korzhenevskii Alexander L

机构信息

Zum Waldeskühl 12, 54296 Igel, Germany.

Institute for Problems of Mechanical Engineering, RAS, Bol'shoi prosp. V. O. 61, 199178 St. Petersburg, Russia.

出版信息

Phys Rev E. 2020 Mar;101(3-1):033004. doi: 10.1103/PhysRevE.101.033004.

Abstract

The morphological transformation of the process zone at the tip of a propagating crack occurs with the increase of the crack velocity. The zone configuration changes its shape from concave to convex, dropletlike form. The latter exhibits a metastable wake. We prove that the transformation takes place as soon as the crack velocity exceeds Gordon's speed V_{G}. The latter is the velocity of motion of the interface between the stable and overheated metastable phases. We further analyze the dependence of geometrical parameters of the zone and wake on the crack tip velocity. We show that at a constant velocity, the size of the process zone grows with the approach to the binodal. However, it decreases by over three orders of magnitude as the crack's velocity increases. In contrast, the interval length where the zone or the wake comes in direct contact with the crack surface increases at 0≤V<V_{G}, achieves its maximum at V=V_{G}, and then decreases with the further velocity increase. The zone vanishes as soon as the crack's velocity exceeds a critical speed V_{cr}.

摘要

随着裂纹扩展速度的增加,扩展裂纹尖端过程区会发生形态转变。该区域的形态从凹形变为凸形的液滴状。后者呈现出一个亚稳尾迹。我们证明,一旦裂纹速度超过戈登速度(V_{G}),转变就会发生。后者是稳定相和过热亚稳相之间界面的运动速度。我们进一步分析了该区域和尾迹的几何参数对裂纹尖端速度的依赖性。我们表明,在恒定速度下,过程区的尺寸随着接近双节线而增大。然而,随着裂纹速度增加,它会减小三个数量级以上。相反,该区域或尾迹与裂纹表面直接接触的区间长度在(0≤V<V_{G})时增加,在(V = V_{G})时达到最大值,然后随着速度进一步增加而减小。一旦裂纹速度超过临界速度(V_{cr}),该区域就会消失。

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