We develop a theoretical description based on an existent mean-field model for the transient dynamics prior to the steady flow of yielding materials. The mean-field model not only reproduces the experimentally observed nonlinear time dependence of the shear-rate response to an external stress, but also allows for the determination of the different physical processes involved in the onset of the reacceleration phase after the initial slowing down and a distinct fluidization phase. The fluidization time displays a power-law dependence on the distance of the applied stress to an age-dependent yield stress, which is not universal but strongly dependent on initial conditions.

中文翻译：

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屈服应力流体无热蠕变动力学的平均场场景

我们基于屈服材料稳定流动之前瞬态动力学的现有平均场模型开发了理论描述。平均场模型不仅重现了实验观察到的剪切速率对外部应力的非线性时间依赖性，而且还可以确定在初始减速和减速之后重新加速阶段的开始所涉及的不同物理过程。一个明显的流化阶段。流化时间显示出幂律依赖于所施加应力与随年龄变化的屈服应力之间的距离，这不是普遍的，但在很大程度上取决于初始条件。