School of Earth and Planetary Sciences, National Institute of Science Education and Research (NISER), HBNI, Bhubaneswar, 752050, India.
Department of Geosciences, Princeton University, Princeton, NJ 08544.
Proc Natl Acad Sci U S A. 2022 Jul 26;119(30):e2119462119. doi: 10.1073/pnas.2119462119. Epub 2022 Jul 20.
Nearly all frictional interfaces strengthen as the logarithm of time when sliding at ultra-low speeds. Observations of also logarithmic-in-time growth of interfacial contact area under such conditions have led to constitutive models that assume that this frictional strengthening results from purely time-dependent, and slip-insensitive, contact-area growth. The main laboratory support for such strengthening has traditionally been derived from increases in friction during "load-point hold" experiments, wherein a sliding interface is allowed to gradually self-relax down to subnanometric slip rates. In contrast, following step decreases in the shear loading rate, friction is widely reported to increase over a characteristic slip scale, independent of the magnitude of the slip-rate decrease-a signature of slip-dependent strengthening. To investigate this apparent contradiction, we subjected granite samples to a series of step decreases in shear rate of up to 3.5 orders of magnitude and load-point holds of up to 10,000 s, such that both protocols accessed the phenomenological regime traditionally inferred to demonstrate time-dependent frictional strengthening. When modeling the resultant data, which probe interfacial slip rates ranging from 3 .[Formula: see text]. to less than [Formula: see text], we found that constitutive models where low slip-rate friction evolution mimics log-time contact-area growth require parameters that differ by orders of magnitude across the different experiments. In contrast, an alternative constitutive model, in which friction evolves only with interfacial slip, fits most of the data well with nearly identical parameters. This leads to the surprising conclusion that frictional strengthening is dominantly slip-dependent, even at subnanometric slip rates.
当以超低速滑动时,几乎所有的摩擦界面都会随着时间的对数而增强。在这种条件下,界面接触面积也呈现出对数时间增长的观察结果,这导致了假设这种摩擦增强是纯粹由时间相关且与滑动不敏感的接触面积增长引起的本构模型。这种增强的主要实验室支持传统上来自于“加载点保持”实验中摩擦的增加,其中滑动界面逐渐自行松弛到亚纳米滑动速率。相比之下,在剪切加载速率的阶跃下降之后,摩擦被广泛报道在特征滑动尺度上增加,而与滑动速率下降的幅度无关——这是滑动相关增强的特征。为了研究这种明显的矛盾,我们对花岗岩样品进行了一系列剪切速率的阶跃下降,幅度高达 3.5 个数量级,以及长达 10000 s 的加载点保持,使得这两种方案都可以进入传统上推断为展示时间相关摩擦增强的现象学范围。在对所得数据进行建模时,这些数据探测了从 3.[公式:见正文].到小于 [Formula: see text]的界面滑动速率,我们发现,低滑动速率摩擦演化模拟对数时间接触面积增长的本构模型需要在不同实验中相差几个数量级的参数。相比之下,另一种本构模型,其中摩擦仅随界面滑动而演变,很好地拟合了大部分数据,参数几乎相同。这导致了一个令人惊讶的结论,即摩擦增强主要是滑动相关的,即使在亚纳米滑动速率下也是如此。