慢滑动中长波Love波和Stoneley波的失稳
Destabilization of long-wavelength Love and Stoneley waves in slow sliding
摘要：
Love波是一种色散界面波，它是与弹性半空间结合的弹性层的反平面运动的一种响应模式。类似地，当位移在固体平面内时，斯通利波是不同弹性半空间粘结接触中的界面波。结果表明，在缓慢滑动，长波长的爱和斯通利波的摩擦不稳定。摩擦被假定为具有正的瞬时对数依赖于滑移率和对数率弱化行为在稳态。长波长的不稳定性通常发生在滑动速率和状态相关的摩擦，即使界面波不存在。对于低速率的滑移，这种不稳定性本质上是准静态的，即，相速度与剪切波速度相比小得可以忽略。粘结接触中界面波的存在允许不稳定性传播的速度的顺序的剪切波速度，即使在缓慢的滑动，表明准静态近似是不是一个有效的在这样的问题。
英文摘要：
Love waves are dispersive interfacial waves that are a mode of response for anti-plane motions of an elastic layer bonded to an elastic half-space. Similarly, Stoneley waves are interfacial waves in bonded contact of dissimilar elastic half-spaces, when the displacements are in the plane of the solids. It is shown that in slow sliding, long wavelength Love and Stoneley waves are destabilized by friction. Friction is assumed to have a positive instantaneous logarithmic dependence on slip rate and a logarithmic rate weakening behavior at steady-state. Long wavelength instabilities occur generically in sliding with rate- and state-dependent friction, even when an interfacial wave does not exist. For slip at low rates, such instabilities are quasi-static in nature, i.e., the phase velocity is negligibly small in comparison to a shear wave speed. The existence of an interfacial wave in bonded contact permits an instability to propagate with a speed of the order of a shear wave speed even in slow sliding, indicating that the quasi-static approximation is not a valid one in such problems.
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