A SAM-FFT based model for 3D steady-state elastodynamic frictional contacts

This paper reported a semi-analytical method (SAM)-fast Fourier transform (FFT) based model for three-dimensional (3D) steady-state elastodynamic frictional contact of an elastic ellipsoid sliding on an elastic half-space with a constant sliding velocity. The frequency response functions (FRFs) and...

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Bibliographic Details
Published in:International journal of solids and structures Vol. 170; pp. 53 - 67
Main Authors: Zhang, Xin, Wang, Q. Jane
Format: Journal Article
Language:English
Published: New York Elsevier Ltd 01.10.2019
Elsevier BV
Subjects:
Algorithms
Coefficient of friction
Conjugate gradient method
Contact pressure
Contact stresses
Convolution
Deformation
Elastic analysis
Elastic half spaces
Elastic properties
Elastodynamic frictional contact
Elastodynamics
Fast Fourier transform
Fast Fourier transformations
Fourier transforms
Frequency response functions
Modulus of elasticity
Pressure distribution
S waves
Semi-analytical method
Shear
Sliding
Steady state
Stress concentration
Three dimensional models
Velocity
Steady state
Semi-analytical method
Fast Fourier transform
Elastodynamic frictional contact
ISSN:0020-7683, 1879-2146
Online Access:Get full text
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Summary:This paper reported a semi-analytical method (SAM)-fast Fourier transform (FFT) based model for three-dimensional (3D) steady-state elastodynamic frictional contact of an elastic ellipsoid sliding on an elastic half-space with a constant sliding velocity. The frequency response functions (FRFs) and their conversion into influence coefficients (ICs) for displacements and stresses in an elastic half-space are analytically derived pertaining to generalized normal and tangential forces. Fast numerical techniques used are based on the conjugate gradient method (CGM) for obtaining unknown pressure distribution in the contact interface, and the discrete convolution-fast Fourier transform (DC-FFT) algorithm for calculating displacements and stresses. The proposed SAM-FFT based model is employed to investigate the effects of friction, sliding velocity, and Young's modulus on contact pressure, surface deformation and sub-surface von Mises stress. A transition map, supported by appropriate limits of friction coefficient and sliding velocity, is constructed to determine whether the location of maximum von Mises stress to appear beneath the contact surface or in the contact surface. It deserves mentioning that the elastodynamic effect becomes more profound if the sliding velocity is higher than 0.4 times of shear wave speed, which corresponds to a sliding velocity of 1300 m/s for steel materials (shear wave speed ∼3250 m/s), or 60 m/s for a soil foundation (shear wave speed ∼150 m/s).
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ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2019.04.028