论文标题
剪切下软玻璃材料的连续建模
Continuum modeling of Soft Glassy Materials under shear
论文作者
论文摘要
软玻璃材料(SGM)由多种形状,弹性和相互作用的胶体颗粒的致密无定形组成,它们在静止时赋予它们固体性能。它们在现代工程中无处不在,包括添加剂制造,半固体流动池,浸入涂层,粘合力的运动,在那里它们经历了复杂的机械历史。这样的过程通常包括足够大的剪切物引起的固体到液转化,从而导致复杂的瞬时现象,例如非单调应激反应,即应力过冲和空间异质流动,例如剪切束或脆性失败。在本文中,我们提出了基于空间分辨的流动性方法的连续模型的教学介绍,我们最近引入了该方法,以合理化SGMS剪切诱导的屈服。我们的模型依赖于非本地效应,定量捕获了与此类复杂流相关的显着特征,包括应力过冲的速率依赖性以及瞬时剪切束带以及非平凡缩放定律用于流化时间。这种方法提供了一种多功能框架来说明微妙的效果,例如雪崩样现象或边界条件的影响,我们通过在模型中包括弹性颗粒的弹性液动力滑移来说明,软颗粒压缩了固体表面。
Soft Glassy Materials (SGM) consist in dense amorphous assemblies of colloidal particles of multiple shapes, elasticity, and interactions, which confer upon them solid-like properties at rest. They are ubiquitously encountered in modern engineering, including additive manufacturing, semi-solid flow cells, dip-coating, adhesive locomotion, where they are subjected to complex mechanical histories. Such processes often include a solid-to-liquid transition induced by large enough shear, which results in complex transient phenomena such as non-monotonic stress responses, i.e., stress overshoot, and spatially heterogeneous flows, e.g., shear-banding or brittle failure. In the present article, we propose a pedagogical introduction to a continuum model based on a spatially-resolved fluidity approach that we recently introduced to rationalize shear-induced yielding in SGMs. Our model, which relies upon non-local effects, quantitatively captures salient features associated with such complex flows, including the rate dependence of the stress overshoot, as well as transient shear-banded flows together with nontrivial scaling laws for fluidization times. This approach offers a versatile framework to account for subtle effects, such as avalanche-like phenomena, or the impact of boundary conditions, which we illustrate by including in our model the elasto-hydrodynamic slippage of soft particles compressed against solid surfaces.