论文标题
通过使用线性边际稳定性假设，通过滑动和滑移依赖性摩擦定律得出滑动前端传播速度
Deriving the slip front propagation velocity with the slip- and slip-velocity-dependent friction laws via the use of the linear marginal stability hypothesis
论文作者
论文摘要
我们在分析和数值上研究滑动前端传播（SFP）速度的确定因素。滑动正面的两种形式为侵入或挤压前部。我们在刚性和固定的底物上假设1D粘弹性培养基，并且根据滑动速度和滑动速度采用摩擦定律。尽管这种依赖性可能是非线性的，但我们使用线性边际稳定性假设，该假说将滑动的管理方程线性化，以研究侵入和挤压前速度。发现分析获得的速度与数值计算一致，在该计算中我们假设摩擦定律非线性取决于滑动速度和滑移速度。这意味着线性化摩擦定律足以捕获SFP行为的主要特征。
We analytically and numerically investigate the determining factors of the slip front propagation (SFP) velocity. The slip front has two forms characterized by intruding or extruding front. We assume a 1D viscoelastic medium on a rigid and fixed substrate, and we employ the friction law depending on the slip and slip velocity. Despite this dependency potentially being nonlinear, we use the linear marginal stability hypothesis, which linearizes the governing equation for the slip, to investigate the intruding and extruding front velocities. The analytically obtained velocities are found to be consistent with the numerical computation where we assume the friction law nonlinearly depends on both the slip and slip velocity. This implies that the linearized friction law is sufficient to capture the dominant features of SFP behavior.
