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Journal of Tribology | Volume 136 | Issue 2 | research-article
Research Papers: Applications

First-Body Versus Third-Body: Dialogue Between an Experiment and a Combined Discrete and Finite Element Approach

[+] Author and Article Information
Mathieu Renouf

Associate Researcher
LMGC,
University of Montpellier 2,
CNRS,
Montpellier F-34096, France
e-mail: Mathieu.Renouf@univ-mont2.fr

Viet-Hung Nhu

LaMCoS,
University of Lyon,
CNRS,
INSA Lyon,
Villeurbanne F-69621, France
e-mail: Viet-Hung.Nhu@insa-lyon.fr

Aurélien Saulot

Associate Professor
LaMCoS,
University of Lyon,
CNRS,
INSA Lyon,
Villeurbanne F-69621, France
e-mail: Aurelien.Saulot@insa-lyon.fr

Francesco Massi

Associate Professor
DIMA,
University of Rome “La Sapienza,”
Rome 00184, Italia
e-mail: Francesco.Massi@uniroma1.it

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received June 25, 2013; final manuscript received November 14, 2013; published online February 19, 2014. Assoc. Editor: Prof. C. Fred Higgs III.

J. Tribol 136(2), 021104 (Feb 19, 2014) (9 pages) Paper No: TRIB-13-1129; doi: 10.1115/1.4026062 History: Received June 25, 2013; Revised November 14, 2013
Article
References
Figures
Tables

The present paper proposes to analyze relations between the behavior of two bodies in contact (local stress and vibration modes) and the rheology of third-body particles. Experiments are performed on a system composed of a polycarbonate disk in contact with a steel cylinder, where birefringent property of polycarbonate allows us to observe shear-stress isovalues. Multiscale numerical simulations involve the coupling between finite elements and discrete elements to model simultaneously nonhomogeneous third-body flows within a confined contact and dynamical behavior of the bodies in contact. Comparisons between experiments and simulations are performed on the dynamic response of the system, the stress distribution, as well as the evolution of third-body particles within the contact. Such comparisons exhibit not only qualitative results but also quantitative ones and suggest a new approach to study in deeper third-body rheology.
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References

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2
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3
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4
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Di Bartolomeo, M., Massi, F., Baillet, L., Culla, A., Fregolent, A., and Berthier, Y., 2012, “Wave and Rupture Propagation at Frictional Bimaterial Sliding Interfaces: From Local to Global Dynamics, From Stick-Slip to Continuous Sliding,” Tribol. Int., 52, pp. 117–131. [CrossRef]
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Temizer, I., and Wriggers, P., 2008, “A Multiscale Contact Homogenization Technique for the Modeling of Third Bodies in the Contact Interface,” Comput. Methods Appl. Mech. Eng., 198(3–4), pp. 377–396. [CrossRef]
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Cao, H.-P., Renouf, M., Dubois, F., and Berthier, Y., 2011, “Coupling Continuous and Discontinuous Descriptions to Model First Body Deformation in Third Body Flows,” ASME J. Tribol., 133(4), p. 041601. [CrossRef]
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Leonard, B. D., Patil, P., Slack, T. S., Sadeghi, F., Shinde, S., and Mittelbach, M., 2011, “Fretting Wear Modeling of Coated and Uncoated Surfaces Using the Combined Finite-Discrete Element Method,” ASME J. Tribol., 133(2), p. 021601. [CrossRef]
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Tonazzi, D., Massi, F., Culla, A., Baillet, L., Fregolent, A., and Berthier, Y., “Instability Scenarios Between Elastic Media Under Frictional Contact,” Mech. Syst. Signal Process. (in press).
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Moreau, J. J., 1994, “Some Numerical Methods in Multibody Dynamics: Application to Granular Materials,” Eur. J. Mech. A Solids, 13(4-suppl.), pp. 93–114.
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Figures

Grahic Jump Location
Fig. 1

Sketch of the (a) face and (b) lateral views of the experimental setup and (c) photograph of the experimental setup

+Sketch of the (a) face and (b) lateral views of the experimental setup and (c) photograph of the experimental setup
View Large  |  Save Figure  |  Download Slide (.ppt)
Sketch of the (a) face and (b) lateral views of the experimental setup and (c) photograph of the experimental setup
Grahic Jump Location
Fig. 2

Spectrogram of instability states (a) during the increase of third-body flow and (b) with a stable third-body flow for a radial expansion of 20 μm and a rotation speed ω = 0.2 m/s

+Spectrogram of instability states (a) during the increase of third-body flow and (b) with a stable third-body flow for a radial expansion of 20 μm and a rotation speed ω = 0.2 m/s
View Large  |  Save Figure  |  Download Slide (.ppt)
Spectrogram of instability states (a) during the increase of third-body flow and (b) with a stable third-body flow for a radial expansion of 20 μm and a rotation speed ω = 0.2 m/s
Grahic Jump Location
Fig. 3

Evolution of isochromatics during the creation of third-body particles for a radial expansion of 20 μm and a rotation speed ω = 0.2 m/s

+Evolution of isochromatics during the creation of third-body particles for a radial expansion of 20 μm and a rotation speed ω = 0.2 m/s
View Large  |  Save Figure  |  Download Slide (.ppt)
Evolution of isochromatics during the creation of third-body particles for a radial expansion of 20 μm and a rotation speed ω = 0.2 m/s
Grahic Jump Location
Fig. 4

Zoom on third-body particles on the inner diameter disk with a binocular microscope

+Zoom on third-body particles on the inner diameter disk with a binocular microscope
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Zoom on third-body particles on the inner diameter disk with a binocular microscope
Grahic Jump Location
Fig. 5

Definition of the list of first neighbors of particle i (dashed particles) (a) and of the local frame (tα,nα) for a contact between two particles (b) and between one particle and a deformable structure (c)

+Definition of the list of first neighbors of particle i (dashed particles) (a) and of the local frame (tα,nα) for a contact between two particles (b) and between one particle and a deformable structure (c)
View Large  |  Save Figure  |  Download Slide (.ppt)
Definition of the list of first neighbors of particle i (dashed particles) (a) and of the local frame (tα,nα) for a contact between two particles (b) and between one particle and a deformable structure (c)
Grahic Jump Location
Fig. 6

Numerical model used for standalone FEM and the combined FEM-DEM simulations

+Numerical model used for standalone FEM and the combined FEM-DEM simulations
View Large  |  Save Figure  |  Download Slide (.ppt)
Numerical model used for standalone FEM and the combined FEM-DEM simulations
Grahic Jump Location
Fig. 7

Frequency calculated on the standalone FEM model and the combined FEM-DEM model during the frictional process compared to the experimental result

+Frequency calculated on the standalone FEM model and the combined FEM-DEM model during the frictional process compared to the experimental result
View Large  |  Save Figure  |  Download Slide (.ppt)
Frequency calculated on the standalone FEM model and the combined FEM-DEM model during the frictional process compared to the experimental result
Grahic Jump Location
Fig. 8

Comparison of the deviatoric stress values between the FEM-DEM model and experimental results without third-body (cf. Fig. 3(a)).

+Comparison of the deviatoric stress values between the FEM-DEM model and experimental results without third-body (cf. Fig. 3(a)).
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of the deviatoric stress values between the FEM-DEM model and experimental results without third-body (cf. Fig. 3(a)).
Grahic Jump Location
Fig. 9

Comparison of the deviatoric stress field between the FEM-DEM model and experimental results with third-body. The numbers from 1 to 10 correspond to the number of fringes identified in the experiment.

+Comparison of the deviatoric stress field between the FEM-DEM model and experimental results with third-body. The numbers from 1 to 10 correspond to the number of fringes identified in the experiment.
View Large  |  Save Figure  |  Download Slide (.ppt)
Comparison of the deviatoric stress field between the FEM-DEM model and experimental results with third-body. The numbers from 1 to 10 correspond to the number of fringes identified in the experiment.
Grahic Jump Location
Fig. 10

Visualization of the equivalent velocity field within a macroparticle during the process for different cohesion values: (a) 0, (b) 0.1, (c) 0.2, and (d) 1.0

+Visualization of the equivalent velocity field within a macroparticle during the process for different cohesion values: (a) 0, (b) 0.1, (c) 0.2, and (d) 1.0
View Large  |  Save Figure  |  Download Slide (.ppt)
Visualization of the equivalent velocity field within a macroparticle during the process for different cohesion values: (a) 0, (b) 0.1, (c) 0.2, and (d) 1.0
Grahic Jump Location
Fig. 11

Visualization of the equivalent deviatoric stress within a macroparticle during the process for different cohesion values: (a) 0, (b) 0.1, (c) 0.2, and (d) 1.0

+Visualization of the equivalent deviatoric stress within a macroparticle during the process for different cohesion values: (a) 0, (b) 0.1, (c) 0.2, and (d) 1.0
View Large  |  Save Figure  |  Download Slide (.ppt)
Visualization of the equivalent deviatoric stress within a macroparticle during the process for different cohesion values: (a) 0, (b) 0.1, (c) 0.2, and (d) 1.0

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