Abstract As a stress wave propagates in rock, the amplitude of the stress wave will attenuate, and the waveform will dissipate, which can be equivalently characterized by the stress wave propagation in a viscoelastic material. The stress wave propagation may induce rock damage when the stress is greater than the rock strength. In this study, viscoelastic wave propagation in rock and the damage and failure process of rock induced by viscoelastic wave propagation, which are usually examined separately in existing theoretical and numerical models, were investigated under a unified framework. Based on viscoelastic damage theory and the theory of stress wave propagation in a one-dimensional viscoelastic bar, theoretical equations for spalling fracture of a viscoelastic bar were obtained. Then, the numerical model implemented by the one-dimensional wave propagation program was validated by reproducing the dynamic spalling of green sandstone bar; after that step, the program was employed to study the behavior of viscoelastic bar spalling. Based on the numerical simulation, the condition, position and time of the dynamic spalling induced by quarter sine wave propagation in the viscoelastic bar were examined, and the influence of the amplitude and frequency of the quarter sine wave and the viscosity coefficient and length of the viscoelastic bar on the spalling were quantified.

中文翻译：

---

应力波传播引起的一维粘弹性杆的剥落

摘要 当应力波在岩石中传播时，应力波的幅值会衰减，波形会消散，这可以等效地表征为应力波在粘弹性材料中的传播。当应力大于岩石强度时，应力波传播可能引起岩石损伤。在这项研究中，在统一的框架下研究了粘弹性波在岩石中的传播以及粘弹性波传播引起的岩石破坏和破坏过程，这些过程通常在现有的理论和数值模型中分别进行研究。基于粘弹性损伤理论和应力波在一维粘弹性杆中的传播理论，得到了粘弹性杆剥落断裂的理论方程。然后，通过再现绿砂岩坝的动态剥落，验证了由一维波传播程序实现的数值模型；在这一步之后，该程序被用于研究粘弹性钢筋剥落的行为。在数值模拟的基础上，研究了四分之一正弦波在粘弹性杆中传播引起的动态剥落的条件、位置和时间，以及四分之一正弦波的幅值和频率以及粘弹性体的粘性系数和长度的影响。对剥落上的粘弹性棒进行量化。