Application of the method of dimensionality reduction to simulate the fretting wear of anisotropic indenter

2015 ◽  
Author(s):  
A. I. Dmitriev
Keyword(s):  
Dimensionality Reduction ◽  
Fretting Wear ◽  
Method Of Dimensionality Reduction

scholarly journals LIMITING PROFILE OF AXISYMMETRIC INDENTER DUE TO THE INITIALLY DISPLACED DUAL-MOTION FRETTING WEAR

2016 ◽  
Vol 14 (1) ◽  
pp. 55 ◽  
Author(s):  
Qiang Li
Keyword(s):  
Dimensionality Reduction ◽  
Indentation Depth ◽  
Fretting Wear ◽  
Final State ◽  
Method Of Dimensionality Reduction ◽  
Limiting Profile ◽  
Constant Displacement

Recently the final worn shape of elastic indenters due to fretting wear was analytically solved using the method of dimensionality reduction. In this paper we extend this model to dual-motion fretting wear and take into account that the indenter is initially pressed with constant indentation depth and moved horizontally with constant displacement. Two key parameters, the maximal indentation depth during oscillation and the stick area radius in the final state as well as the liming shape of indenter are analytically calculated. It is shown that the oscillation amplitudes and the initially indented or moved displacements have an influence on the final shaking-down shape.

Simplified simulation of fretting wear using the method of dimensionality reduction

2014 ◽  
Vol 17 (3) ◽  
pp. 236-241 ◽  
Author(s):  
Q. Li ◽  
A. E. Filippov ◽  
A. V. Dimaki ◽  
Y. S. Chai ◽  
V. L. Popov
Keyword(s):  
Dimensionality Reduction ◽  
Fretting Wear ◽  
Method Of Dimensionality Reduction

scholarly journals A Review of the Method of Dimensionality Reduction in Contact Mechanics: Applications for Structural Damping, Wear and Adhesion

2015 ◽  
Author(s):  
V.L. Popov ◽  
M. Heß ◽  
M. Popov
Keyword(s):  
Dimensionality Reduction ◽  
Three Dimensional ◽  
Contact Problems ◽  
Adhesive Contact ◽  
Tangential Direction ◽  
Fretting Wear ◽  
Normal Contact ◽  
Method Of Dimensionality Reduction ◽  
Frictional Damping ◽  
Arbitrary Axis

In the method of dimensionality reduction (MDR), contacts of three-dimensional bodies are mapped to the contact problem with a one-dimensional elastic or viscoelastic foundation. This is valid for the normal contact, the tangential contact and the normal contact of viscoelastic bodies. For the above classes of contact problems, several examples are considered and discussed in detail. This includes: (a) Fretting wear for arbitrary histories of loading (for simultaneous oscillations both in normal and horizontal directions); (b) Frictional damping under the influence of oscillations in normal and tangential direction as well as normal and torsional loading; (c) Adhesion of bodies of arbitrary axis-symmetric shape with extension to the adhesive contact of elastomers.

A Simplified Version of Persson's Multiscale Theory for Rubber Friction Due to Viscoelastic Losses

2017 ◽  
Vol 140 (1) ◽  
Author(s):  
M. Ciavarella
Keyword(s):  
Dimensionality Reduction ◽  
Free Parameter ◽  
Fractal Dimensions ◽  
Scale Model ◽  
Entire Spectrum ◽  
Method Of Dimensionality Reduction ◽  
Single Scale ◽  
Rubber Friction ◽  
Exact Calculations ◽  
Best Fit

We show that the full multiscale Persson's theory for rubber friction due to viscoelastic losses can be approximated extremely closely to simpler models, like that suggested by Persson in 1998 and similarly by Popov in his 2010 book (but notice that we do not make any use of the so-called “Method of Dimensionality Reduction” (MDR)), so it is essentially a single scale model at the so-called large wavevector cutoff. The dependence on the entire spectrum of roughness is therefore only confusing, at least for range of fractal dimensions of interest D≃2.2, and we confirm this with actual exact calculations and reference to recent data of Lorenz et al. Moreover, we discuss the critical assumption of the choice of the “free parameter” best fit truncation cutoff.

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