We use a recent experimental technique to measure in situ shear and normal stresses during magnetorheological finishing (MRF) of a borosilicate glass over a range of magnetic fields. At low fields shear stresses increase with magnetic field, but become field-independent at higher magnetic fields. Micromechanical models of formation of magnetic particle chains suggest a complex behavior of magnetorheological (MR) fluids that combines fluid- and solid-like responses. We discuss the hypothesis that, at higher fields, slip occurs between magnetic particle chains and the immersed glass part, while the normal stress is governed by the MRF ribbon elasticity.

© 2010 OSA

1. C. Miao, S. N. Shafrir, J. C. Lambropoulos, J. Mici, and S. D. Jacobs, “Shear stress in magnetorheological finishing for glasses,” Appl. Opt. 48(13), 2585–2594 (2009). [CrossRef] [PubMed]
2. C. Miao, “Frictional forces in material removal for glasses and ceramics using magnetorheological finishing,” Ph.D dissertation (University of Rochester, Rochester, NY, 2010).
3. C. Miao, J. C. Lambropoulos, and S. D. Jacobs, “Process parameter effects on material removal in magnetorheological finishing of borosilicate glass,” Appl. Opt. 49(10), 1951–1963 (2010). [CrossRef] [PubMed]
4. M. Schinaerl, C. Vogt, A. Geiss, R. Stamp, P. Sperber, L. Smth, G. Smith, and R. Rascher, “Forces acting between polishing tool and workpiece surface in magnetorheological finishing,” Proc. SPIE 7060, 706006 (2008). [CrossRef]
5. Zygo Mark IVxp interferometer, Zygo Corp., CT. This instrument is a four inch HeNe Fizeau interferometer with a wavelength of 632.8 nm. Peak-to-valley (pv) for surface flatness and depth of deepest penetration (ddp) of the spot was measured in microns. The spot is expected to be less than 0.2 μm deep for achieving a good measurement, and spotting time was adjusted to stay below this upper limit.
6. Zygo New View 5000 noncontacting white light interferometer, Zygo Corp., CT. The surface roughness data were obtained under the following conditions: 20 × Mirau; high FDA Res.; 20 μm bipolar scan length; Min/Mod: 5%, unfiltered.
7. J. E. De Groote, A. E. Marino, J. P. Wilson, A. L. Bishop, J. C. Lambropoulos, and S. D. Jacobs, “Removal rate model for magnetorheological finishing of glass,” Appl. Opt. 46(32), 7927–7941 (2007). [CrossRef]
8. K.-I. Jang, J. Seok, B.-K. Min, and S. J. Lee, “Behavioral model for magnetorheological fluid under a magnetic field using Lekner summation method,” J. Magn. Magn. Mater. 321(9), 1167–1176 (2009). [CrossRef]
9. S. Gorodkin, R. James, and W. Kordonski, “Magnetic properties of carbonyl iron particles in magnetorheological fluids, 11th International Conference on Electrorheological and magnetorheological Suspensions (ERMR08, Dresden, Germany),” Journal of Physics: Conference Series 149, 012051 (2009). [CrossRef]
10. M. J. Jolly, J. D. Carlson, and B. C. Munoz, “A model of the behaviour of magnetorheological materials,” Smart Mater. Struct. 5(5), 607–614 (1996). [CrossRef]
11. J. M. Ginder and L. C. Davis, “Shear stresses in magnetorheological fluids: Role of magnetic saturation,” Appl. Phys. Lett. 65(26), 3410–3412 (1994). [CrossRef]

Appl. Opt.

• C. Miao, J. C. Lambropoulos, and S. D. Jacobs, “Process parameter effects on material removal in magnetorheological finishing of borosilicate glass,” Appl. Opt. 49(10), 1951–1963 (2010). [CrossRef] [PubMed]
• J. E. De Groote, A. E. Marino, J. P. Wilson, A. L. Bishop, J. C. Lambropoulos, and S. D. Jacobs, “Removal rate model for magnetorheological finishing of glass,” Appl. Opt. 46(32), 7927–7941 (2007). [CrossRef]
• C. Miao, S. N. Shafrir, J. C. Lambropoulos, J. Mici, and S. D. Jacobs, “Shear stress in magnetorheological finishing for glasses,” Appl. Opt. 48(13), 2585–2594 (2009). [CrossRef] [PubMed]

Appl. Phys. Lett.

• J. M. Ginder and L. C. Davis, “Shear stresses in magnetorheological fluids: Role of magnetic saturation,” Appl. Phys. Lett. 65(26), 3410–3412 (1994). [CrossRef]

J. Magn. Magn. Mater.

• K.-I. Jang, J. Seok, B.-K. Min, and S. J. Lee, “Behavioral model for magnetorheological fluid under a magnetic field using Lekner summation method,” J. Magn. Magn. Mater. 321(9), 1167–1176 (2009). [CrossRef]

Journal of Physics: Conference Series

• S. Gorodkin, R. James, and W. Kordonski, “Magnetic properties of carbonyl iron particles in magnetorheological fluids, 11th International Conference on Electrorheological and magnetorheological Suspensions (ERMR08, Dresden, Germany),” Journal of Physics: Conference Series 149, 012051 (2009). [CrossRef]

Proc. SPIE

• M. Schinaerl, C. Vogt, A. Geiss, R. Stamp, P. Sperber, L. Smth, G. Smith, and R. Rascher, “Forces acting between polishing tool and workpiece surface in magnetorheological finishing,” Proc. SPIE 7060, 706006 (2008). [CrossRef]

Smart Mater. Struct.

• M. J. Jolly, J. D. Carlson, and B. C. Munoz, “A model of the behaviour of magnetorheological materials,” Smart Mater. Struct. 5(5), 607–614 (1996). [CrossRef]

Other

• Zygo Mark IVxp interferometer, Zygo Corp., CT. This instrument is a four inch HeNe Fizeau interferometer with a wavelength of 632.8 nm. Peak-to-valley (pv) for surface flatness and depth of deepest penetration (ddp) of the spot was measured in microns. The spot is expected to be less than 0.2 μm deep for achieving a good measurement, and spotting time was adjusted to stay below this upper limit.
• Zygo New View 5000 noncontacting white light interferometer, Zygo Corp., CT. The surface roughness data were obtained under the following conditions: 20 × Mirau; high FDA Res.; 20 μm bipolar scan length; Min/Mod: 5%, unfiltered.
• C. Miao, “Frictional forces in material removal for glasses and ceramics using magnetorheological finishing,” Ph.D dissertation (University of Rochester, Rochester, NY, 2010).

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