标题： 稠密摩擦悬浮流变学的拓扑见解：第三阶环驱动不连续剪切增稠 显示英文标题

标题： Topological insights into dense frictional suspension rheology: Third order loops drive discontinuous shear thickening

摘要： 密集悬浮液在外加形变下表现出显著的粘度变化，这种现象称为剪切增稠。 最近的研究确定了从润滑、无约束相互作用到摩擦接触的应力诱导转变，这在剪切增稠中起着关键作用。 本研究调查了二维模拟中连续和不连续剪切增稠（CST 和 DST）过程中的流变行为和接触网络演化。 我们发现，在低应力下，弱增稠期间，摩擦接触网络由沿压缩轴的准线性链组成。 随着应力的增加，接触网络变得更加各向同性，并形成环状结构。 我们表明，摩擦接触网络中的三阶环是这种行为的关键。 我们的研究结果揭示了三阶环中的边数与悬浮液粘度之间的强相关性。 值得注意的是，这种关系独立于填充分数、施加应力和颗粒间摩擦，突显了介观网络拓扑在控制宏观流变学中的基本作用。 显示英文摘要

摘要： Dense suspensions exhibit significant viscosity changes under external deformation, a phenomenon known as shear thickening. Recent studies have identified a stress-induced transition from lubricated, unconstrained interactions to frictional contacts, which play a crucial role in shear thickening. This work investigates the rheological behavior and contact network evolution during continuous and discontinuous shear thickening (CST and DST) in two-dimensional simulations. We find that at low stress, during weak thickening, the frictional contact network is composed of quasilinear chains along the compression axis. With increasing stress, the contact network becomes more isotropic, and forms loop-like structures. We show that third-order loops within the frictional contact network are key to this behavior. Our findings revealed a strong correlation between the number of edges in the third-order loops and the viscosity of the suspension. Notably, this relationship remains independent of the packing fraction, applied stress, and interparticle friction, highlighting the fundamental role of the mesoscale network topology in governing macroscopic rheology.