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首页> 外文期刊>Journal of the Mechanics and Physics of Solids >Transient and steady-state viscoelastic contact responses of layer-substrate systems with interfacial imperfections
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Transient and steady-state viscoelastic contact responses of layer-substrate systems with interfacial imperfections

机译：瞬态和稳态粘弹性接触界面缺陷的层衬底系统

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摘要

This paper reports the development of a novel semi-analytical model for solving the transient and steady-state contact responses of a rigid sphere sliding/rolling on a viscoelastic layer-elastic substrate system. The displacement transmissions at the layer-substrate interface are affected by spring-like or dislocation-like defects. The analytical transient and steady-state viscoelastic frequency response functions (FRFs) are derived from the elastic solutions with imperfect interfaces. Instead of using the integration form of the creep function, viscoelastic modulus E(ω) is directly incorporated into the viscoelastic FRFs by a frequency-velocity transform that links the time-related frequency, ω, and sliding velocity, V, with the space-related frequency number, m, i. e. ω=mV. The solutions are so formulated that fast numerical techniques, such as the conjugate gradient method (CGM) and the discrete convolution-fast Fourier transform (DC-FFT) algorithm, can be incorporated for computation efficiency. The developed model is employed to investigate the effects of layer thickness, modulus, sliding velocity, and the degree of interface imperfection on the viscoelastic contact response of the material system, including pressure distributions, displacements, viscoelastic dissipation, and subsurface stresses.
机译：本文报道了一种新型半分析模型的开发，用于求解刚性球体滑动/轧制在粘弹性层 - 弹性基板系统上的瞬态和稳态接触响应。层衬底界面处的位移传输受弹簧状或位错的缺陷的影响。分析瞬态和稳态粘弹性频率响应函数（FRFS）源自具有不完美界面的弹性解决方案。代替使用蠕变功能的积分形式，通过将时间相关频率，ω和滑动速度，与空间的频率速度变换直接将粘弹性模量e（ω）直接结合到粘弹性FRF中。相关频率数，m，i。 e。 ω= mv。该解决方案如此，可以结合用于计算效率的快速数值，例如共轭梯度法（CGM）和离散卷积 - 快速傅立叶变换（DC-FFT）算法。采用开发的模型来研究层厚度，模量，滑动速度和界面缺陷程度对材料系统的粘弹性接触响应的影响，包括压力分布，位移，粘弹性耗散和地下应力。

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