Frictional resistance to accelerating slip
Frictional resistance to accelerating slip
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加速滑移的摩擦阻力
DOI：
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发表时间：
1984
期刊：
影响因子：
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通讯作者：
J. Gu
中科院分区：
文献类型：
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作者：
J. Gu
基于迪特里希和鲁伊纳提出的速率和状态相关的本构摩擦定律，在假定滑移加速度a为常数或分段常数的条件下，得到了摩擦应力和状态变量的一般解析表达式，它是滑移速率V或滑移时间或滑移位移δ的显函数。讨论了解的性质，并作了评述。均匀加速（或减速）滑动，以下：1.摩擦应力增加随着时间的增加，或滑动率的增加，或运动开始时的滑动，直到最大值（或最小）值（当它存在时）已经达到，然后减少（或增大），最后趋于一种特殊的摩擦状态，即稳定状态，此时的应力取决于瞬时滑移率。2.摩擦应力的最大值取决于加速度a; θ a越大，最大值的幅度越大。
估算了克服摩擦应力所需的能量消耗ε。从而得到了滑动机械系统节能的最佳加速度值，并估算了裂纹或断层突然破裂过程的能量释放率G。
AbstractGeneral analytical expressions for the friction stress and state variable, based on a rate and state-dependent constitutive friction law proposed by Dieterich and Ruina, have been obtained as an explicit function of slip rateV or slip timet or slip displacement δ under the assumption that slip accelerationa is constant or piecewise constant.Properties of the solutions have been discussed, and reviewed, for uniformly accelerating (or decelerating) slip, the following.1.Frictional stress increases (or decreases) with increasing time, or slip rate, or slippage at the beginning of motion, until a maximum (or a minimum) value (when it exists) has been reached, then decreases (or increases), and finally approaches a special frictional state, namely a steady state, for which stress depends on instantaneous slip rate.2.The maximal value of frictional stress is dependent on accelerationa; the larger thea, the larger the magnitude of the maximum.
The energy expense ε needed to overcome the frictional stress has been estimated. And therefore the optimal value of acceleration for saving energy for a slipping mechanical system has been obtained.The energy release rateG for an abrupt rupture process of a crack or fault has been estimated.