Abstract

This paper discusses the principle of magnetorheological (MR) polishing, which is widely used in the production of precision optics, and also presents the results of processing optical items of complex shape. The concept of ablation of material from the surface to be processed, based on the principle of conservation of momentum by the particles of a binary abrasive suspension, is considered in the theoretical part as applied to the method of MR polishing. According to the proposed model, the forces normal to the surface required for the incorporation of abrasive particles into the material being polished are provided by their interaction near the surface with the more massive baseline (magnetic) particles, which in the shear flow of the concentrated suspension are subject to fluctuations and exchange momentum with the abrasive particles.

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    [CrossRef]
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    [CrossRef]
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2011 (1)

2010 (2)

2009 (4)

C. Miao, S. Shafrir, J. Lambropoulos, J. Mici, and S. Jacobs, “Shear stress in magnetorheological finishing for glasses,” Appl. Opt. 48, 2585 (2009).
[CrossRef] [PubMed]

C. Miao, S. Shafrir, J. Lambropoulos, and S. Jacobs, “Normal force in magnetorheological finishing,” Proc. SPIE 7426, 74260C (2009).
[CrossRef]

W. Kordonski and S. Gorodkin, “Magnetorheological measurements with consideration for the internal magnetic field in samples,” J. Phys.: Conf. Ser. 149, 012064 (2009).
[CrossRef]

S. Ang, T. Scholz, A. Klocke, and G. Schneider, “Determination of elastic/plastic transition of human enamel by nanoindentation,” Dent. Mater. 15, 1403 (2009).
[CrossRef]

2008 (2)

H. Laun, C. Gabriel, and G. Schmidt, “Primary and secondary normal stress differences of a magnetorheological fluid (MRF) up to magnetic flux densities of 1 T,” J. Non-Newtonian Fluid Mech. 148, 47 (2008).
[CrossRef]

K. Gertzos, P. Nikolakopoulos, and C. Papadopoulos, “CFD analysis of journal bearing hydrodynamic lubrication by Bingham lubricant,” Tribol. Int. 41, 1190 (2008).
[CrossRef]

2007 (1)

2006 (1)

W. Kordonski, A. Shorey, and M. Tricard, “Magnetorheological jet-finishing technology,” J. Fluid Eng. 128, 20 (2006).
[CrossRef]

2003 (3)

G. Basim, I. Vakarelski, and M. B. Moudgil, “Role of interaction forces in controlling the stability and polishing performance of CMP slurries,” J. Colloid Interface Sci. 263, 506 (2003).
[CrossRef]

J. Menapace, S. Dixit, F. Genin, and W. Brocious, “Magnetorheological finishing for imprinting continuous phase plate structure onto optical surfaces,” Proc. SPIE 5273, 220 (2003).
[CrossRef]

A. Shorey, S. Gorodkin, and W. Kordonski, “Effect of process parameters on surface morphology in MRF,” Proc. SPIE TD02, 69 (2003).

2001 (2)

A. Shorey, S. Jacobs, W. Kordonski, and R. Gans, “Experiments and observations regarding the mechanisms of glass removal in magnetorheological finishing,” Appl. Opt. 40, 20 (2001).
[CrossRef] [PubMed]

D. D. Walker, A. T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 451, 267 (2001).
[CrossRef]

2000 (2)

A. Karion and M. Hunt, “Wall stress in granular Couette flow of mono-sized particles and binary mixtures,” Powder Technol. 109, 145 (2000).
[CrossRef]

W. Losert, L. Bocquet, T. Lubensky, and J. Gollub, “Particle dynamics in sheared granular matter,” Phys. Rev. Lett. 85, 1428 (2000).
[CrossRef] [PubMed]

1997 (1)

Y. Mori, K. Yamauchi, and K. Endo, “Mechanism of atomic removal in elastic emission machining,” J. Jpn. Soc. Prec. Eng. 10, 24 (1997).

1996 (1)

W. Kordonski and S. Jacobs, “Magnetorheological finishing,” Int. J. Mod. Phys. B-10, 2837 (1996).

1993 (1)

W. Kordonski, “Elements and devices based on magnetorheological effect,” J. Intell. Mater. Syst. Struct. 4, 65 (1993).
[CrossRef]

1991 (1)

J. A. Tichy, “Hydrodynamic lubrication theory for the Bingham plastic flow model,” J. Rheol. 35, 477 (1991).
[CrossRef]

1990 (1)

L. M. Cook, “Chemical processes in glass polishing,” J. Non-Cryst. Solids 120, 152 (1990).
[CrossRef]

1986 (1)

Z. Shulman, V. Kordonski, E. Zaltsgendler, I. Prokhorov, B. Khusid, and S. Demchuk, “Structure, physical properties, and dynamics of magnetorheological suspensions,” Int. J. Multiphase Flow 12, 935 (1986).
[CrossRef]

1966 (1)

P. Perzyna, “Fundamental problems in viscoplasticity,” Adv. Appl. Mech. 9, 243 (1966).

1927 (1)

F. W. Preston, “The theory and design of plate-glass polishing machines,” J. Soc. Glass Technol. 11, 214 (1927).

Ang, S.

S. Ang, T. Scholz, A. Klocke, and G. Schneider, “Determination of elastic/plastic transition of human enamel by nanoindentation,” Dent. Mater. 15, 1403 (2009).
[CrossRef]

Basim, G.

G. Basim, I. Vakarelski, and M. B. Moudgil, “Role of interaction forces in controlling the stability and polishing performance of CMP slurries,” J. Colloid Interface Sci. 263, 506 (2003).
[CrossRef]

Beaucamp, A. T. H.

D. D. Walker, A. T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 451, 267 (2001).
[CrossRef]

Bishop, A.

Bocquet, L.

W. Losert, L. Bocquet, T. Lubensky, and J. Gollub, “Particle dynamics in sheared granular matter,” Phys. Rev. Lett. 85, 1428 (2000).
[CrossRef] [PubMed]

Booij, S. M.

S. M. Booij, “Fluid jet polishing,” doctoral thesis (Technische Universiteit Delft, 2003).

Brocious, W.

J. Menapace, S. Dixit, F. Genin, and W. Brocious, “Magnetorheological finishing for imprinting continuous phase plate structure onto optical surfaces,” Proc. SPIE 5273, 220 (2003).
[CrossRef]

Brooks, D.

D. D. Walker, A. T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 451, 267 (2001).
[CrossRef]

Cook, L. M.

L. M. Cook, “Chemical processes in glass polishing,” J. Non-Cryst. Solids 120, 152 (1990).
[CrossRef]

Dai, Y.

DeGroote, J.

Demchuk, S.

Z. Shulman, V. Kordonski, E. Zaltsgendler, I. Prokhorov, B. Khusid, and S. Demchuk, “Structure, physical properties, and dynamics of magnetorheological suspensions,” Int. J. Multiphase Flow 12, 935 (1986).
[CrossRef]

Dixit, S.

J. Menapace, S. Dixit, F. Genin, and W. Brocious, “Magnetorheological finishing for imprinting continuous phase plate structure onto optical surfaces,” Proc. SPIE 5273, 220 (2003).
[CrossRef]

Doi, T.

I. Marinescu, E. Uhlmann, and T. Doi, Handbook of Lapping and Polishing (CRC Press, 2006).

Endo, K.

Y. Mori, K. Yamauchi, and K. Endo, “Mechanism of atomic removal in elastic emission machining,” J. Jpn. Soc. Prec. Eng. 10, 24 (1997).

Freeman, R.

D. D. Walker, A. T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 451, 267 (2001).
[CrossRef]

Gabriel, C.

H. Laun, C. Gabriel, and G. Schmidt, “Primary and secondary normal stress differences of a magnetorheological fluid (MRF) up to magnetic flux densities of 1 T,” J. Non-Newtonian Fluid Mech. 148, 47 (2008).
[CrossRef]

Gans, R.

Genin, F.

J. Menapace, S. Dixit, F. Genin, and W. Brocious, “Magnetorheological finishing for imprinting continuous phase plate structure onto optical surfaces,” Proc. SPIE 5273, 220 (2003).
[CrossRef]

Gertzos, K.

K. Gertzos, P. Nikolakopoulos, and C. Papadopoulos, “CFD analysis of journal bearing hydrodynamic lubrication by Bingham lubricant,” Tribol. Int. 41, 1190 (2008).
[CrossRef]

Gollub, J.

W. Losert, L. Bocquet, T. Lubensky, and J. Gollub, “Particle dynamics in sheared granular matter,” Phys. Rev. Lett. 85, 1428 (2000).
[CrossRef] [PubMed]

Gorodkin, S.

W. Kordonski and S. Gorodkin, “Material removal in magnetorheological finishing of optics,” Appl. Opt. 50, 1984 (2011).
[CrossRef] [PubMed]

W. Kordonski and S. Gorodkin, “Magnetorheological measurements with consideration for the internal magnetic field in samples,” J. Phys.: Conf. Ser. 149, 012064 (2009).
[CrossRef]

A. Shorey, S. Gorodkin, and W. Kordonski, “Effect of process parameters on surface morphology in MRF,” Proc. SPIE TD02, 69 (2003).

Hunt, M.

A. Karion and M. Hunt, “Wall stress in granular Couette flow of mono-sized particles and binary mixtures,” Powder Technol. 109, 145 (2000).
[CrossRef]

Jacobs, S.

Karion, A.

A. Karion and M. Hunt, “Wall stress in granular Couette flow of mono-sized particles and binary mixtures,” Powder Technol. 109, 145 (2000).
[CrossRef]

Khusid, B.

Z. Shulman, V. Kordonski, E. Zaltsgendler, I. Prokhorov, B. Khusid, and S. Demchuk, “Structure, physical properties, and dynamics of magnetorheological suspensions,” Int. J. Multiphase Flow 12, 935 (1986).
[CrossRef]

King, A.

D. D. Walker, A. T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 451, 267 (2001).
[CrossRef]

Klocke, A.

S. Ang, T. Scholz, A. Klocke, and G. Schneider, “Determination of elastic/plastic transition of human enamel by nanoindentation,” Dent. Mater. 15, 1403 (2009).
[CrossRef]

Kordonski, V.

Z. Shulman, V. Kordonski, E. Zaltsgendler, I. Prokhorov, B. Khusid, and S. Demchuk, “Structure, physical properties, and dynamics of magnetorheological suspensions,” Int. J. Multiphase Flow 12, 935 (1986).
[CrossRef]

Kordonski, W.

W. Kordonski and S. Gorodkin, “Material removal in magnetorheological finishing of optics,” Appl. Opt. 50, 1984 (2011).
[CrossRef] [PubMed]

W. Kordonski and S. Gorodkin, “Magnetorheological measurements with consideration for the internal magnetic field in samples,” J. Phys.: Conf. Ser. 149, 012064 (2009).
[CrossRef]

W. Kordonski, A. Shorey, and M. Tricard, “Magnetorheological jet-finishing technology,” J. Fluid Eng. 128, 20 (2006).
[CrossRef]

A. Shorey, S. Gorodkin, and W. Kordonski, “Effect of process parameters on surface morphology in MRF,” Proc. SPIE TD02, 69 (2003).

A. Shorey, S. Jacobs, W. Kordonski, and R. Gans, “Experiments and observations regarding the mechanisms of glass removal in magnetorheological finishing,” Appl. Opt. 40, 20 (2001).
[CrossRef] [PubMed]

W. Kordonski and S. Jacobs, “Magnetorheological finishing,” Int. J. Mod. Phys. B-10, 2837 (1996).

W. Kordonski, “Elements and devices based on magnetorheological effect,” J. Intell. Mater. Syst. Struct. 4, 65 (1993).
[CrossRef]

Kovacevic, R.

A. Momber and R. Kovacevic, Principles of Abrasive Water-Jet Machining (Springer, New York, 1998).

Lambropoulos, J.

Laun, H.

H. Laun, C. Gabriel, and G. Schmidt, “Primary and secondary normal stress differences of a magnetorheological fluid (MRF) up to magnetic flux densities of 1 T,” J. Non-Newtonian Fluid Mech. 148, 47 (2008).
[CrossRef]

Losert, W.

W. Losert, L. Bocquet, T. Lubensky, and J. Gollub, “Particle dynamics in sheared granular matter,” Phys. Rev. Lett. 85, 1428 (2000).
[CrossRef] [PubMed]

Lubensky, T.

W. Losert, L. Bocquet, T. Lubensky, and J. Gollub, “Particle dynamics in sheared granular matter,” Phys. Rev. Lett. 85, 1428 (2000).
[CrossRef] [PubMed]

Marinescu, I.

I. Marinescu, E. Uhlmann, and T. Doi, Handbook of Lapping and Polishing (CRC Press, 2006).

Marino, A.

McCavana, G.

D. D. Walker, A. T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 451, 267 (2001).
[CrossRef]

Menapace, J.

J. Menapace, S. Dixit, F. Genin, and W. Brocious, “Magnetorheological finishing for imprinting continuous phase plate structure onto optical surfaces,” Proc. SPIE 5273, 220 (2003).
[CrossRef]

Miao, C.

Mici, J.

Momber, A.

A. Momber and R. Kovacevic, Principles of Abrasive Water-Jet Machining (Springer, New York, 1998).

Mori, Y.

Y. Mori, K. Yamauchi, and K. Endo, “Mechanism of atomic removal in elastic emission machining,” J. Jpn. Soc. Prec. Eng. 10, 24 (1997).

Morton, R.

D. D. Walker, A. T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 451, 267 (2001).
[CrossRef]

Moudgil, M. B.

G. Basim, I. Vakarelski, and M. B. Moudgil, “Role of interaction forces in controlling the stability and polishing performance of CMP slurries,” J. Colloid Interface Sci. 263, 506 (2003).
[CrossRef]

Nikolakopoulos, P.

K. Gertzos, P. Nikolakopoulos, and C. Papadopoulos, “CFD analysis of journal bearing hydrodynamic lubrication by Bingham lubricant,” Tribol. Int. 41, 1190 (2008).
[CrossRef]

Papadopoulos, C.

K. Gertzos, P. Nikolakopoulos, and C. Papadopoulos, “CFD analysis of journal bearing hydrodynamic lubrication by Bingham lubricant,” Tribol. Int. 41, 1190 (2008).
[CrossRef]

Peng, X.

Perzyna, P.

P. Perzyna, “Fundamental problems in viscoplasticity,” Adv. Appl. Mech. 9, 243 (1966).

Preston, F. W.

F. W. Preston, “The theory and design of plate-glass polishing machines,” J. Soc. Glass Technol. 11, 214 (1927).

Prokhorov, I.

Z. Shulman, V. Kordonski, E. Zaltsgendler, I. Prokhorov, B. Khusid, and S. Demchuk, “Structure, physical properties, and dynamics of magnetorheological suspensions,” Int. J. Multiphase Flow 12, 935 (1986).
[CrossRef]

Riley, D.

D. D. Walker, A. T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 451, 267 (2001).
[CrossRef]

Schmidt, G.

H. Laun, C. Gabriel, and G. Schmidt, “Primary and secondary normal stress differences of a magnetorheological fluid (MRF) up to magnetic flux densities of 1 T,” J. Non-Newtonian Fluid Mech. 148, 47 (2008).
[CrossRef]

Schneider, G.

S. Ang, T. Scholz, A. Klocke, and G. Schneider, “Determination of elastic/plastic transition of human enamel by nanoindentation,” Dent. Mater. 15, 1403 (2009).
[CrossRef]

Scholz, T.

S. Ang, T. Scholz, A. Klocke, and G. Schneider, “Determination of elastic/plastic transition of human enamel by nanoindentation,” Dent. Mater. 15, 1403 (2009).
[CrossRef]

Shafrir, S.

C. Miao, S. Shafrir, J. Lambropoulos, J. Mici, and S. Jacobs, “Shear stress in magnetorheological finishing for glasses,” Appl. Opt. 48, 2585 (2009).
[CrossRef] [PubMed]

C. Miao, S. Shafrir, J. Lambropoulos, and S. Jacobs, “Normal force in magnetorheological finishing,” Proc. SPIE 7426, 74260C (2009).
[CrossRef]

Shen, H. H.

H. H. Shen, “Granular shear flows—constitutive relations and internal structures,” in Fifteenth ASCE Engineering Mechanical Conference (Columbia University, 2002), pp. 1–7.

Shi, F.

Shorey, A.

W. Kordonski, A. Shorey, and M. Tricard, “Magnetorheological jet-finishing technology,” J. Fluid Eng. 128, 20 (2006).
[CrossRef]

A. Shorey, S. Gorodkin, and W. Kordonski, “Effect of process parameters on surface morphology in MRF,” Proc. SPIE TD02, 69 (2003).

A. Shorey, S. Jacobs, W. Kordonski, and R. Gans, “Experiments and observations regarding the mechanisms of glass removal in magnetorheological finishing,” Appl. Opt. 40, 20 (2001).
[CrossRef] [PubMed]

Shulman, Z.

Z. Shulman, V. Kordonski, E. Zaltsgendler, I. Prokhorov, B. Khusid, and S. Demchuk, “Structure, physical properties, and dynamics of magnetorheological suspensions,” Int. J. Multiphase Flow 12, 935 (1986).
[CrossRef]

Simms, J.

D. D. Walker, A. T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 451, 267 (2001).
[CrossRef]

Song, C.

Tichy, J. A.

J. A. Tichy, “Hydrodynamic lubrication theory for the Bingham plastic flow model,” J. Rheol. 35, 477 (1991).
[CrossRef]

Tricard, M.

W. Kordonski, A. Shorey, and M. Tricard, “Magnetorheological jet-finishing technology,” J. Fluid Eng. 128, 20 (2006).
[CrossRef]

Uhlmann, E.

I. Marinescu, E. Uhlmann, and T. Doi, Handbook of Lapping and Polishing (CRC Press, 2006).

Vakarelski, I.

G. Basim, I. Vakarelski, and M. B. Moudgil, “Role of interaction forces in controlling the stability and polishing performance of CMP slurries,” J. Colloid Interface Sci. 263, 506 (2003).
[CrossRef]

Walker, D. D.

D. D. Walker, A. T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 451, 267 (2001).
[CrossRef]

Wilson, J.

Yamauchi, K.

Y. Mori, K. Yamauchi, and K. Endo, “Mechanism of atomic removal in elastic emission machining,” J. Jpn. Soc. Prec. Eng. 10, 24 (1997).

Zaltsgendler, E.

Z. Shulman, V. Kordonski, E. Zaltsgendler, I. Prokhorov, B. Khusid, and S. Demchuk, “Structure, physical properties, and dynamics of magnetorheological suspensions,” Int. J. Multiphase Flow 12, 935 (1986).
[CrossRef]

Adv. Appl. Mech. (1)

P. Perzyna, “Fundamental problems in viscoplasticity,” Adv. Appl. Mech. 9, 243 (1966).

Appl. Opt. (5)

Dent. Mater. (1)

S. Ang, T. Scholz, A. Klocke, and G. Schneider, “Determination of elastic/plastic transition of human enamel by nanoindentation,” Dent. Mater. 15, 1403 (2009).
[CrossRef]

Int. J. Mod. Phys. (1)

W. Kordonski and S. Jacobs, “Magnetorheological finishing,” Int. J. Mod. Phys. B-10, 2837 (1996).

Int. J. Multiphase Flow (1)

Z. Shulman, V. Kordonski, E. Zaltsgendler, I. Prokhorov, B. Khusid, and S. Demchuk, “Structure, physical properties, and dynamics of magnetorheological suspensions,” Int. J. Multiphase Flow 12, 935 (1986).
[CrossRef]

J. Colloid Interface Sci. (1)

G. Basim, I. Vakarelski, and M. B. Moudgil, “Role of interaction forces in controlling the stability and polishing performance of CMP slurries,” J. Colloid Interface Sci. 263, 506 (2003).
[CrossRef]

J. Fluid Eng. (1)

W. Kordonski, A. Shorey, and M. Tricard, “Magnetorheological jet-finishing technology,” J. Fluid Eng. 128, 20 (2006).
[CrossRef]

J. Intell. Mater. Syst. Struct. (1)

W. Kordonski, “Elements and devices based on magnetorheological effect,” J. Intell. Mater. Syst. Struct. 4, 65 (1993).
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