Transient and steady-state viscoelastic contact responses of layer-substrate systems with interfacial imperfections

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-...

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Bibliographic Details
Published in:Journal of the mechanics and physics of solids Vol. 145; p. 104170
Main Authors: Zhang, Xin, Wang, Q. Jane, He, Tao
Format: Journal Article
Language:English
Published: London Elsevier Ltd 01.12.2020
Elsevier BV
Subjects:
Algorithms
Conjugate gradient method
Contact pressure
Convolution
Creep (materials)
Defects
Fast Fourier transformations
Fourier transforms
Frequency response functions
Imperfect interface
Layered system
Mathematical models
Sliding
Steady state
Substrates
Thickness
Transient
Viscoelastic contact
Viscoelasticity
Viscoelastic contact
Layered system
Transient
Steady-state
Imperfect interface
ISSN:0022-5096, 1873-4782
Online Access:Get full text
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Summary: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 Ε(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.
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ISSN:0022-5096
1873-4782
DOI:10.1016/j.jmps.2020.104170