Abstract This paper reports the investigation of steady-state elastodynamic frictional contact responses of a rigid or elastic indenter sliding on an elastic layer-substrate system at a sub-Rayleigh velocity. The developments of the elastodynamic frictional contact model include the analytical acquirement of elastodynamic frequency response functions by utilizing the Galilean transform and Fourier transform, and numerical implementation of contact pressure determination by adopting the conjugate gradient method. The stress and the displacement fields are calculated with the discrete convolution-fast Fourier transform algorithm. The detailed parameter analyses are provided to investigate the combined effects of the system parameters on the contact behaviors. The results indicate that the elastodynamic effect results in a softening contact response, which is more significant for stiffer layer cases.

中文翻译：

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层-基底系统的亚瑞利弹力摩擦接触

摘要 本文报道了刚性或弹性压头以亚瑞利速度在弹性层-基底系统上滑动的稳态弹动力摩擦接触响应的研究。弹动力摩擦接触模型的发展包括利用伽利略变换和傅里叶变换解析获得弹动力频率响应函数，以及采用共轭梯度法确定接触压力的数值实现。应力和位移场是用离散卷积-快速傅立叶变换算法计算的。提供了详细的参数分析来研究系统参数对接触行为的综合影响。结果表明，弹性动力学效应导致软化接触响应，