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1

Johnson, K. L., and L. M. Keer. "Contact Mechanics." Journal of Tribology 108, no. 4 (1986): 659. http://dx.doi.org/10.1115/1.3261297.

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2

Barber, J. R., and M. Ciavarella. "Contact mechanics." International Journal of Solids and Structures 37, no. 1-2 (2000): 29–43. http://dx.doi.org/10.1016/s0020-7683(99)00075-x.

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3

Briscoe, B. J. "Contact mechanics." Tribology International 19, no. 2 (1986): 109–10. http://dx.doi.org/10.1016/0301-679x(86)90085-x.

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4

Liu, Haichao, Haibo Zhang, and Xiaoyu Ding. "Advances in Contact Mechanics." Lubricants 12, no. 5 (2024): 179. http://dx.doi.org/10.3390/lubricants12050179.

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5

Harmon, David, Etienne Vouga, Breannan Smith, Rasmus Tamstorf, and Eitan Grinspun. "Asynchronous contact mechanics." Communications of the ACM 55, no. 4 (2012): 102–9. http://dx.doi.org/10.1145/2133806.2133828.

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6

Wriggers, Peter. "Computational contact mechanics." Computational Mechanics 49, no. 6 (2012): 685. http://dx.doi.org/10.1007/s00466-012-0730-x.

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7

Harmon, David, Etienne Vouga, Breannan Smith, Rasmus Tamstorf, and Eitan Grinspun. "Asynchronous contact mechanics." ACM Transactions on Graphics 28, no. 3 (2009): 1–12. http://dx.doi.org/10.1145/1531326.1531393.

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8

Wriggers, P. "Computational Contact Mechanics." Computational Mechanics 32, no. 1-2 (2003): 141. http://dx.doi.org/10.1007/s00466-003-0472-x.

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9

Bravetti, Alessandro, Hans Cruz, and Diego Tapias. "Contact Hamiltonian mechanics." Annals of Physics 376 (January 2017): 17–39. http://dx.doi.org/10.1016/j.aop.2016.11.003.

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10

Fischer-Cripps,, AC, and KL Johnson,. "Introduction to Contact Mechanics. Mechanical Engineering Series." Applied Mechanics Reviews 55, no. 3 (2002): B51. http://dx.doi.org/10.1115/1.1470678.

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11

Johns-Rahnejat, Patricia M., Nader Dolatabadi, and Homer Rahnejat. "Elastic and Elastoplastic Contact Mechanics of Concentrated Coated Contacts." Lubricants 12, no. 5 (2024): 162. http://dx.doi.org/10.3390/lubricants12050162.

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Machines operate under increasingly harsher contact conditions, causing significant wear and contact fatigue. Sub-surface stresses are responsible for the premature contact fatigue of rolling element bearings, meshing gears, and cam–follower pairs. Surface protection measures include hard, wear-resistant coatings. Traditionally, contact integrity has been predicted using classical Hertzian contact mechanics. However, the theory is only applicable when the contact between a pair of ellipsoidal solids of revolution may be considered as a rigid indenter penetrating a semi-infinite elastic half-sp
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12

Keer, Leon M. "Mechanics of Contact Fatigue." Applied Mechanics Reviews 47, no. 6S (1994): S194—S198. http://dx.doi.org/10.1115/1.3124405.

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Contact fatigue between typical machine elements such as gears, roller followers, bearings and other components involves many complex interacting features. There are the effects of geometry, mechanical properties, material properties and surface chemistry. The present discussion will center around analytical prediction techniques that are concerned only with the mechanical aspects of contact fatigue between two elements. Aspects related to the initiation of a crack under repeated loading will be discussed. The application of an approach developed by Mura, analogous to Griffith’s criterion for
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13

Johns-Rahnejat, Patricia M., Nader Dolatabadi, and Homer Rahnejat. "Analytical Elastostatic Contact Mechanics of Highly-Loaded Contacts of Varying Conformity." Lubricants 8, no. 9 (2020): 89. http://dx.doi.org/10.3390/lubricants8090089.

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In applications requiring high load carrying capacity, conforming contacting pairs with a relatively large contact footprint are used. These include circular arc, Novikov, and Wildhaber gears found, for example, in helicopter rotors. Closely conforming contacts also occur in many natural endo-articular joints, such as hips, or their replacement arthroplasty. The main determining factors in contact fatigue are the sub-surface shear stresses. For highly loaded contacts, classical Hertzian contact mechanics is used for many gears, bearings, and joints. However, the theory is essentially for conce
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14

de León, Manuel, Jordi Gaset, Manuel Laínz, Miguel C. Muñoz-Lecanda, and Narciso Román-Roy. "Higher-order contact mechanics." Annals of Physics 425 (February 2021): 168396. http://dx.doi.org/10.1016/j.aop.2021.168396.

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15

Carrillo, Jan-Michael Y., and Andrey V. Dobrynin. "Contact Mechanics of Nanoparticles." Langmuir 28, no. 29 (2012): 10881–90. http://dx.doi.org/10.1021/la301657c.

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16

Stewart, David E. "Finite-dimensional contact mechanics." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 359, no. 1789 (2001): 2467–82. http://dx.doi.org/10.1098/rsta.2001.0904.

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17

Goryacheva, I. G. "Mechanics of discrete contact." Tribology International 39, no. 5 (2006): 381–86. http://dx.doi.org/10.1016/j.triboint.2005.04.020.

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18

Chang, Shih-Hsiang, Thomas N. Farris, and Srinivasan Chandrasekar. "Contact Mechanics of Superfinishing." Journal of Tribology 122, no. 2 (1999): 388–93. http://dx.doi.org/10.1115/1.555374.

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Superfinishing is an abrasive finishing process in which a smooth work surface is produced by simultaneously loading a bonded abrasive stone against a rotating workpiece surface and oscillating (reciprocating) the stone. The surface topography of a 600 grit aluminum oxide stone used for superfinishing is quantitatively described using scanning phase-shift interferometry. A bounded three-parameter lognormal distribution is found to provide a more accurate representation of cutting edge height distribution than a bounded normal distribution, especially in fitting the upper tail end of data. More
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19

Vouga, E., D. Harmon, R. Tamstorf, and E. Grinspun. "Asynchronous variational contact mechanics." Computer Methods in Applied Mechanics and Engineering 200, no. 25-28 (2011): 2181–94. http://dx.doi.org/10.1016/j.cma.2011.03.010.

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20

Srivastava, Abhishek, and Chung-Yuen Hui. "Large deformation contact mechanics of long rectangular membranes. I. Adhesionless contact." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2160 (2013): 20130424. http://dx.doi.org/10.1098/rspa.2013.0424.

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In part I of this work, we study adhesionless contact of a long rectangular elastic membrane with a rigid substrate. Our model is based on finite strain theory and is valid for arbitrarily large deformations. Both frictionless and no-slip contact conditions are considered. Exact closed form solutions are obtained for frictionless contact. For small contact, the differences between these two contact conditions are small. However, significant differences occur for large contacts. For example, frictionless contact predicts a maximum pressure (and contact region) beyond which there is no solution;
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21

Packham, D. E. "Work of adhesion: contact angles and contact mechanics." International Journal of Adhesion and Adhesives 16, no. 2 (1996): 121–28. http://dx.doi.org/10.1016/0143-7496(95)00034-8.

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22

Yang, C., and B. N. J. Persson. "Contact mechanics: contact area and interfacial separation from small contact to full contact." Journal of Physics: Condensed Matter 20, no. 21 (2008): 215214. http://dx.doi.org/10.1088/0953-8984/20/21/215214.

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23

Kumar, Nirmal, and Anirvan DasGupta. "Contact Mechanics and Induced Hysteresis at Oscillatory Contacts with Adhesion." Langmuir 30, no. 30 (2014): 9107–14. http://dx.doi.org/10.1021/la501834s.

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24

Tichy, John, Joseph A. Levert, Lei Shan, and Steven Danyluk. "Contact Mechanics and Lubrication Hydrodynamics of Chemical Mechanical Polishing." Journal of The Electrochemical Society 146, no. 4 (1999): 1523–28. http://dx.doi.org/10.1149/1.1391798.

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25

Osipov, V. I., V. N. Sokolov, and F. S. Karpenko. "Physicochemical mechanics of disperse porous materials as a new approach to assessing mechanical stability of clay soils." Geoèkologiâ, no. 4 (December 30, 2024): 50–63. https://doi.org/10.31857/s0869780924040059.

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Data are presented on the discrepancy between theoretical calculations and experimental results on assessing the strength of fine dispersed bodies including clay soils. Physicochemical processes operating on the surface of dispersed particles are considered upon interaction of latter with water and the formation of adsorbed water films producing disjoining pressure. The presence of films exerting the disjoining effect controls the development of various types of contacts between soil particles in the course of lithogenesis, i. e., coagulational, transitional, and phase contacts. These contacts
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26

Xu, Zhi Qian, Xiang Zhen Yan, and Xiu Juan Yang. "Contact Mechanics Analysis of Two Rough Surfaces in Contact." Advanced Materials Research 154-155 (October 2010): 531–34. http://dx.doi.org/10.4028/www.scientific.net/amr.154-155.531.

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In this paper, the calculation formulas of the asperity’s deformation related with the surface contact pressure are deduced by using the simplified contact model. Firstly, we assume that the rough surface is composed of a set of cones as asperities, and the cones are arranged in different ways along two directions. Secondly, according to the mechanical analysis of a rigid conical punch on a half-space, the theoretical relationship between the average pressure of the micro contact area and the property parameters of a conical punch is obtained. Meanwhile, the calculation formula of the average
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27

Nikogeorgos, Nikolaos, Christopher A. Hunter, and Graham J. Leggett. "Relationship Between Molecular Contact Thermodynamics and Surface Contact Mechanics." Langmuir 28, no. 51 (2012): 17709–17. http://dx.doi.org/10.1021/la304246e.

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28

Yang, C., B. N. J. Persson, J. Israelachvili, and K. Rosenberg. "Contact mechanics with adhesion: Interfacial separation and contact area." EPL (Europhysics Letters) 84, no. 4 (2008): 46004. http://dx.doi.org/10.1209/0295-5075/84/46004.

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29

Blanco-Lorenzo, Julio, Javier Santamaria, Ernesto G. Vadillo, and Nekane Correa. "A contact mechanics study of 3D frictional conformal contact." Tribology International 119 (March 2018): 143–56. http://dx.doi.org/10.1016/j.triboint.2017.10.022.

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30

Galindo-Torres, Sergio Andres, Alexander Scheuermann, David Williams, and Hans Mühlhaus. "Micro-Mechanics of Contact Erosion." Applied Mechanics and Materials 553 (May 2014): 513–18. http://dx.doi.org/10.4028/www.scientific.net/amm.553.513.

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In the present paper a simulation framework is presented coupling the mechanics of fluids and solids to study the contact erosion phenomenon. The fluid is represented by the Lattice Boltzmann Method (LBM) and the soil particles are modeled using the Discrete Element Method (DEM). The coupling law considers accurately the momentum transfer between both phases. A soil composed of particles of two distinct sizes is simulated by the DEM and then hydraulically loaded with an LBM fluid. It is observed how the hydraulic gradient compromises the stability of the soil by pushing the smaller particles i
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31

Ulman, Abraham, Gun-Young Choi, Yitzhak Shnidman, and Walter Zurawsky. "Adhesion studies using contact mechanics." Israel Journal of Chemistry 40, no. 2 (2000): 107–21. http://dx.doi.org/10.1560/c5y8-vf2c-61k9-t6yu.

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32

De Pauw, J., P. De Baets, W. De Waele, and R. Hojjati. "Contact mechanics in fretting fatigue." International Journal Sustainable Construction & Design 3, no. 3 (2012): 199–206. http://dx.doi.org/10.21825/scad.v3i3.20575.

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This paper studies the contact mechanics in a line contact during fretting fatigue conditions. Inliterature one can find numerical and analytical solutions of normal and tangential stresses for a variety ofloading cases. However, a unified solution valid for all loading cases during fretting fatigue conditions is notavailable. We present in this paper a strategy to combine existing contact mechanics theories into a unifiedcalculation procedure. Therefore, the relevant contact mechanics theories for an idealized cylinder-on-flatcontact are selected and bundled. Two clear flowcharts group the ex
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33

Yaremko, Yurij. "Contact Transformations in Classical Mechanics." Journal of Nonlinear Mathematical Physics 4, no. 1-2 (1997): 117–23. http://dx.doi.org/10.2991/jnmp.1997.4.1-2.15.

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34

Hills, DA, D. Nowell, and J. R. Barber. "KL Johnson and contact mechanics." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 13 (2016): 2451–58. http://dx.doi.org/10.1177/0954406216634121.

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In 2008, the Journal of Mechanical Engineering Science was approaching its 50th anniversary and the editorial board arranged some personal contributions from those who had been material in the journal’s success. In response to this initiative, the authors spoke informally to Ken Johnson about his life and work. However, typically modest in his approach, Ken was reluctant to see the article published during his lifetime, and so it has remained in the ‘bottom drawer of the desk’ ever since. But now, following Prof. Johnson’s passing in September 2015 we thought it appropriate to publish our brie
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35

Ševera, Pavol. "Contact geometry in Lagrangian mechanics." Journal of Geometry and Physics 29, no. 3 (1999): 235–42. http://dx.doi.org/10.1016/s0393-0440(98)00037-0.

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36

Barone, F., and R. Grassini. "Logicoalgebraic foundations of contact mechanics." International Journal of Theoretical Physics 24, no. 5 (1985): 435–40. http://dx.doi.org/10.1007/bf00669904.

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37

Guler, M. A., and F. Erdogan. "Contact mechanics of graded coatings." International Journal of Solids and Structures 41, no. 14 (2004): 3865–89. http://dx.doi.org/10.1016/j.ijsolstr.2004.02.025.

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38

Alexandrov, V. M. "Asymptotic methods in contact mechanics." Mathematical and Computer Modelling 28, no. 4-8 (1998): 29–35. http://dx.doi.org/10.1016/s0895-7177(98)00106-x.

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39

Klisch, T. "Contact mechanics in multibody systems." Mechanism and Machine Theory 34, no. 5 (1999): 665–75. http://dx.doi.org/10.1016/s0094-114x(98)00050-0.

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40

Mirenkov, V. E. "Contact problems in rock mechanics." Journal of Mining Science 43, no. 4 (2007): 370–81. http://dx.doi.org/10.1007/s10913-007-0036-0.

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41

Ainsley, Samantha, Etienne Vouga, Eitan Grinspun, and Rasmus Tamstorf. "Speculative parallel asynchronous contact mechanics." ACM Transactions on Graphics 31, no. 6 (2012): 1–8. http://dx.doi.org/10.1145/2366145.2366170.

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42

Keer, Leon M. "Contact Mechanics (K. L. Johnson)." SIAM Review 29, no. 2 (1987): 332–33. http://dx.doi.org/10.1137/1029068.

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43

Herczeg, Gabriel, and Andrew Waldron. "Contact geometry and quantum mechanics." Physics Letters B 781 (June 2018): 312–15. http://dx.doi.org/10.1016/j.physletb.2018.04.008.

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44

Antoni, Nicolas, and Quoc-Son Nguyen. "Shakedown theorems in Contact Mechanics." Comptes Rendus Mécanique 336, no. 4 (2008): 341–46. http://dx.doi.org/10.1016/j.crme.2007.11.021.

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45

Meguid, S. A., and A. Czekanski. "Advances in computational contact mechanics." International Journal of Mechanics and Materials in Design 4, no. 4 (2008): 419–43. http://dx.doi.org/10.1007/s10999-008-9077-z.

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46

Leichner, Alexander, Heiko Andrä, and Bernd Simeon. "Contact Mechanics in Computational Homogenization." PAMM 17, no. 1 (2017): 607–8. http://dx.doi.org/10.1002/pamm.201710273.

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47

Marui, Etsuo, Norihiko Hasegawa, and Reiji Miyachi. "Effects of Lubrication Upon Plastic-Metal Contact." Journal of Tribology 113, no. 1 (1991): 192–97. http://dx.doi.org/10.1115/1.2920586.

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It is important to examine the contact mechanics between metal surfaces for greater accuracy of guideway motion and for pre-estimates of contact rigidity and damping capacity of mechanical systems. In the present study, the contact of a hard steel ball and a soft duralumin surface is examined, and the effect of lubrication on the plastic contact mechanics is discussed. Frictional stress between contact surfaces plays an important role in the deformation of surfaces. The parameters, which define the state of contact, are estimated in the experiment, taking lubrication into consideration.
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48

Ciavarella, M., J. Joe, A. Papangelo, and J. R. Barber. "The role of adhesion in contact mechanics." Journal of The Royal Society Interface 16, no. 151 (2019): 20180738. http://dx.doi.org/10.1098/rsif.2018.0738.

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Adhesive (e.g. van der Waals) forces were not generally taken into account in contact mechanics until 1971, when Johnson, Kendall and Roberts (JKR) generalized Hertz’ solution for an elastic sphere using an energetic argument which we now recognize to be analogous to that used in linear elastic fracture mechanics. A significant result is that the load–displacement relation exhibits instabilities in which approaching bodies ‘jump in’ to contact, whereas separated bodies ‘jump out’ at a tensile ‘pull-off force’. The JKR approach has since been widely used in other geometries, but at small length
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49

Kogut, Lior, and Robert L. Jackson. "A Comparison of Contact Modeling Utilizing Statistical and Fractal Approaches." Journal of Tribology 128, no. 1 (2005): 213–17. http://dx.doi.org/10.1115/1.2114949.

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Statistical and fractal approaches for characterizing surface topography have been used widely in contact mechanics. In the present study, a comparison is conducted between contact mechanics results obtained with statistical and fractal approaches to characterize surface topography. Specifically, a three-dimensional fractal surface was generated and statistical surface parameters were extracted using different sampling resolutions. Contact mechanics simulations were performed using the simulated fractal surface and statistical surfaces represented by the extracted statistical surface parameter
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50

Yang, Xiang Dong, Xin Wei, Xiao Zhu Xie, and Zhuo Chen. "Development of Theory Model in Chemical Mechanical Polishing." Advanced Materials Research 403-408 (November 2011): 767–71. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.767.

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Chemical mechanical polishing (hereinafter referred to as CMP) which is to provide the best global planarization technology has been researched and applied in the field of ultra-precision surface finish. This article outlines the principles of the CMP process, focusing on the development of the major theoretical models such as phenomenological model, contact mechanics model, fluid dynamics model and hybrid model based contact mechanics and fluid dynamics in chemical mechanical polishing process. The hybrid model based contact mechanics and fluid dynamics has been a good developed in recent yea
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