Unconventional singularities and energy balance in frictional rupture.
Unconventional singularities and energy balance in frictional rupture.
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摩擦破裂中的非常规奇异性与能量平衡。
DOI：
10.1038/s41467-021-22806-9
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发表时间：
2021-05-10
影响因子：
16.6
通讯作者：
Bouchbinder E
中科院分区：
文献类型：
--
作者：
Brener EA;Bouchbinder E
一个普遍的理解摩擦破裂的框架，如沿着沿着的地震，调用了一个普通裂缝的类比。普通裂纹的一个显著特征是其近边场具有平方根奇异性，这与存在严格的耗散相关的长度尺度分离和边缘局部能量平衡密切相关。然而，在摩擦破裂的奇异性顺序，长度尺度分离和边缘局部化的能量平衡之间的相互关系还没有完全理解，即使在传统的平方根奇异性仍然近似有效的物理情况下。在这里，我们开发了一个宏观理论，表明通用的速率依赖性摩擦导致偏离传统的奇点，即使这种偏差是小的，显着的非边缘局部破裂相关的耗散出现。后者的物理起源，这是预测消失相同的裂纹类比，是规模分离的崩溃，导致累积的空间扩展耗散，涉及宏观尺度。非边缘局部破裂相关的耗散也被预测为位置相关的。理论预测定量支持现有的数值结果，并讨论了它们可能的影响地震物理。块体材料中的普通裂纹在其边缘附近具有平方根奇异变形场。在这里，作者表明，破裂前沿传播沿着摩擦界面，而在某些方面类似于普通裂纹，功能边缘奇异性，不同于传统的平方根之一。
A widespread framework for understanding frictional rupture, such as earthquakes along geological faults, invokes an analogy to ordinary cracks. A distinct feature of ordinary cracks is that their near edge fields are characterized by a square root singularity, which is intimately related to the existence of strict dissipation-related lengthscale separation and edge-localized energy balance. Yet, the interrelations between the singularity order, lengthscale separation and edge-localized energy balance in frictional rupture are not fully understood, even in physical situations in which the conventional square root singularity remains approximately valid. Here we develop a macroscopic theory that shows that the generic rate-dependent nature of friction leads to deviations from the conventional singularity, and that even if this deviation is small, significant non-edge-localized rupture-related dissipation emerges. The physical origin of the latter, which is predicted to vanish identically in the crack analogy, is the breakdown of scale separation that leads an accumulated spatially-extended dissipation, involving macroscopic scales. The non-edge-localized rupture-related dissipation is also predicted to be position dependent. The theoretical predictions are quantitatively supported by available numerical results, and their possible implications for earthquake physics are discussed. Ordinary cracks in bulk materials feature square root singular deformation fields near their edge. Here, the authors show that rupture fronts propagating along frictional interfaces, while resembling ordinary cracks in some respects, feature edge sigularity that differs from the conventional square root one.
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影响因子：
3.9
作者：
DIETERICH, J
通讯作者：
DIETERICH, J
影响因子：
--
作者：
IDA, Y
通讯作者：
IDA, Y
影响因子：
2.5
作者：
Breitenfeld, MS;Geubelle, PH
通讯作者：
Geubelle, PH
影响因子：
5.3
作者：
Brener, Efim A.;Bouchbinder, Eran
通讯作者：
Bouchbinder, Eran
DOI：
10.1016/0022-5096(95)00043-i
发表时间：
1995-11-01
影响因子：
5.3
作者：
GEUBELLE, PH;RICE, JR
通讯作者：
RICE, JR