Transient and steady-state viscoelastic contact responses of layer-substrate systems with interfacial imperfections
Transient and steady-state viscoelastic contact responses of layer-substrate systems with interfacial imperfections
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DOI：
10.1016/j.jmps.2020.104170
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发表时间：
2020-09
影响因子：
5.3
通讯作者：
Xin Zhang;Q. Wang;T. He
中科院分区：
文献类型：
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作者：
Xin Zhang;Q. Wang;T. He
本文报道了一种新的半解析模型的发展，用于解决瞬态和稳态接触响应的刚性球滑动/滚动粘弹性层弹性基板系统。层-基界面处的位移传递受类弹簧或类位错缺陷的影响。从非理想界面的弹性解出发，导出了瞬态和稳态粘弹性频率响应函数的解析表达式。不使用蠕变函数的积分形式，粘弹性模量E（ω）通过频率-速度变换直接并入粘弹性FRF中，该频率-速度变换将时间相关频率ω和滑动速度V与空间相关频率数m联系起来，即ω=−mV。的解决方案，制定快速的数值技术，如共轭梯度法（CGM）和离散卷积快速傅立叶变换（DC-FFT）算法，可以纳入计算效率。所开发的模型被用来调查层的厚度，模量，滑动速度，和界面缺陷的程度上的材料系统的粘弹性接触响应，包括压力分布，位移，粘弹性耗散，和次表面应力的影响。
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 modulusΕ(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.