非均质界面失效局部化的起始
Onset of Localization in Heterogeneous Interfacial Failure
摘要：
本文用数值方法研究了在荷载作用下，两种弹性材料的界面破坏问题，采用了与弹性半空间相连的纤维束模型。我们发现，故障过程如下的等负荷分担纤维束模型没有任何可检测的空间相关性之间的位置失败的纤维，直到本地化集。局部化的开始是不稳定性，而不是相变。取决于描述弹性半空间的弹性常数，局部化设置在临界载荷之前或之后，导致界面完全失效。当调整弹性常数时，由于局部化或没有空间相关性的失效之间存在交叉，而不是相变。与先前基于与我们不同的模型的主张相反，我们发现，即使在极端局部化状态下，在达到临界载荷之前，也必须有有限部分的纤维失效。对于很小的弹性常数。我们还发现，临界载荷保持有限的弹性常数在无限大系统的极限的所有值。
英文摘要：
We study numerically the failure of an interface joining two elastic materials under load using a fiber bundle model connected to an elastic half space. We find that the breakdown process follows the equal load sharing fiber bundle model without any detectable spatial correlations between the positions of the failing fibers until localization sets in. The onset of localization is an instability, not a phase transition. Depending on the elastic constant describing the elastic half space, localization sets in before or after the critical load causing the interface to fail completely, is reached. There is a crossover between failure due to localization or failure without spatial correlations when tuning the elastic constant, not a phase transition. Contrary to earlier claims based on models different from ours, we find that a finite fraction of fibers must fail before the critical load is attained, even in the extreme localization regime, i.e.\ for very small elastic constant. We furthermore find that the critical load remains finite for all values of the elastic constant in the limit of an infinitely large system.
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