论文标题
隐藏的混蛋中的蠕变和余震
Hidden jerk in universal creep and aftershocks
论文作者
论文摘要
大多数材料在恒定负载的作用下表现出蠕变记忆。记忆行为受安德拉德（Andrade）的蠕变定律（Creep Warr）的约束，该法也与地震余震的Omori-UTSU定律有着固有的联系。这两种经验定律都没有确定性的解释。巧合的是，Andrade定律类似于分数仪表板在异常粘弹性建模中蠕变符合的时变部分。因此，调用了分数衍生物，但是由于它们缺乏物理解释，因此从曲线中提取的两个定律的物理参数缺乏信心。在这封信中，我们建立了一种类似的线性物理机制，该物理机制是构成法律的基础，并将其参数与材料的宏观特性联系起来。令人惊讶的是，解释不需要粘度的特性。取而代之的是，它需要存在将应变与一阶压力导数相关的流变特性，这涉及混蛋。此外，我们证明了复杂介质中声学衰减的恒定质量因子模型是合理的。根据已建立的观察结果，获得的结果得到了验证。
Most materials exhibit creep memory under the action of a constant load. The memory behavior is governed by Andrade's creep law, which also has an inherent connection with the Omori-Utsu law of earthquake aftershocks. Both empirical laws lack a deterministic interpretation. Coincidentally, the Andrade law is similar to the time-varying part of the creep compliance of the fractional dashpot in anomalous viscoelastic modeling. Consequently, fractional derivatives are invoked, but since they lack a physical interpretation, the physical parameters of the two laws extracted from curve fit lack confidence. In this Letter, we establish an analogous linear physical mechanism that underlies both laws and relates its parameters with the material's macroscopic properties. Surprisingly, the explanation does not require the property of viscosity. Instead, it necessitates the existence of a rheological property that relates strain with the first order time derivative of stress, which involves jerk. Further, we justify the constant quality factor model of acoustic attenuation in complex media. The obtained results are validated in light of the established observations.
