In this study, the normal stress in magnetorheological polymer gel (MRPG) under large amplitude oscillatory shear was investigated using experiments and particle-level simulations. Under large amplitude oscillatory shear, an intensely oscillating normal stress was measured with a period of exactly half the strain period. As the amplitude of the strain increased, the peak of the normal stress increased and the trough decreased. Changes in the normal stress were mainly caused by two factors: the Poynting effect, in which shear produces a normal force perpendicular to the shear direction, and magnetic-induced normal stress, which changes with the particle structure. In MRPG, both effects are related to the particle structure. The particle structure in MRPG with different strain was calculated and the simulation results show that the amplitude of the structural strain in oscillatory shearing is less than that of the applied strain. Additionally, a phase difference was observed between the structural strain and the applied strain. Based on the calculated particle structure, the change in the normal stress was obtained and found to agree well with the experimental results.
References
1.
Mitsumata
, T.
, and N.
Abe
, “Magnetic-field sensitive gels with wide modulation of dynamic modulus
,” Chem. Lett.
38
(9
), 922
–923
(2009
). 2.
Wilson
, M. J.
, A.
Fuchs
, and F.
Gordaninejad
, “Development and characterization of magnetorheological polymer gels
,” J. Appl. Polym. Sci.
84
(14
), 2733
–2742
(2002
). 3.
Xu
, Y. G.
, X. L.
Gong
, S. H.
Xuan
, W.
Zhang
, and Y. C.
Fan
, “A high-performance magnetorheological material: preparation, characterization and magnetic-mechanic coupling properties
,” Soft Matter
7
(11
), 5246
–5254
(2011
). 4.
Shkel
, Y. M.
, and D. J.
Klingenberg
, “A thermodynamic approach to field-induced stresses in electro- and magnetoactive composites
,” Int. J. Mod. Phys. B
15
(6-7
), 795
–802
(2001
). 5.
Kim
, P.
, J.-I.
Lee
, and J.
Seok
, “Analysis of a viscoplastic flow with field-dependent yield stress and wall slip boundary conditions for a magnetorheological (MR) fluid
,” J. Non-Newtonian Fluid Mech.
204
, 72
–86
(2014
). 6.
Laun
, H. M.
, C.
Gabriel
, and C.
Kieburg
, “Wall material and roughness effects on transmittable shear stresses of magnetorheological fluids in plate-plate magnetorheometry
,” Rheol. Acta
50
(2
), 141
–157
(2011
). 7.
Pessot
, G.
, H.
Loewen
, and A. M.
Menzel
, “Dynamic elastic moduli in magnetic gels: Normal modes and linear response
,” J. Chem. Phys.
145
(10
), 104904
(2016
). 8.
Jiang
, J.
, Y.
Tian
, D.
Ren
, and Y.
Meng
, “An experimental study on the normal stress of magnetorheological fluids
,” Smart Mater. Struct.
20
(8
), 085012
(2011
). 9.
Yao
, X.
, M.
Yu
, and J.
Fu
, “Magnetic-enhanced normal force of magnetorheological fluids
,” Smart Mater. Struct.
24
(3
), 035001
(2015
). 10.
Yazid
, I. I. M.
, S. A.
Mazlan
, F.
Imaduddin
, H.
Zamzuri
, S. B.
Choi
, and T.
Kikuchi
, “An investigation on the mitigation of end-stop impacts in a magnetorheological damper operated by the mixed mode
,” Smart Mater. Struct.
25
(12
), 125005
(2016
). 11.
Lambropoulos
, J. C.
, C.
Miao
, and S. D.
Jacobs
, “Magnetic field effects on shear and normal stresses in magnetorheological finishing
,” Opt. Express
18
(19
), 19713
–19723
(2010
). 12.
Esmaeilzare
, A.
, S. M.
Rezaei
, and B.
Ramezanzadeh
, “Corrosion and magnetic properties of encapsulated carbonyl iron particles in aqueous suspension by inorganic thin films for magnetorheological finishing application
,” Appl. Surf. Sci.
436
, 1200
–1212
(2018
). 13.
Liu
, T.
, Y.
Xu
, X.
Gong
, H.
Pang
, and S.
Xuan
, “Magneto-induced normal stress of magnetorheological plastomer
,” AIP Adv.
3
(8
), 082122
(2013
). 14.
Ju
, B. X.
, M.
Yu
, J.
Fu
, X.
Zheng
, and S. Z.
Liu
, “Magnetic field-dependent normal force of magnetorheological gel
,” Ind. Eng. Chem. Res.
52
(33
), 11583
–11589
(2013
). 15.
Liao
, G.
, X.
Gong
, S.
Xuan
, C.
Guo
, and L.
Zong
, “Magnetic-field-induced normal force of magnetorheological elastomer under compression status
,” Ind. Eng. Chem. Res.
51
(8
), 3322
–3328
(2012
). 16.
de Vicente
, J.
, F.
Gonzalez-Caballero
, G.
Bossis
, and O.
Volkova
, “Normal force study in concentrated carbonyl iron magnetorheological suspensions
,” J. Rheol.
46
(5
), 1295
–1303
(2002
). 17.
Kordonski
, W.
, and S.
Gorodkin
, “The behavior of a magnetorheological (MR) fluid under compressive deformation
,” J. Rheol.
60
(1
), 129
–139
(2016
). 18.
Ruiz-Lopez
, J. A.
, Z. W.
Wang
, R.
Hidalgo-Alvarez
, and J.
de Vicente
, “Simulations of model magnetorheological fluids in squeeze flow mode
,” J. Rheol.
61
(5
), 871
–881
(2017
). 19.
Chen
, P.
, L.-J.
Qian
, X.-X.
Bai
, and S.-B.
Choi
, “Velocity-dependent characteristics of magnetorheological fluids in squeeze mode considering the hydrodynamic and the magnetic field interactions
,” J. Rheol.
61
(3
), 455
–465
(2017
). 20.
Lopez-Lopez
, M. T.
, P.
Kuzhir
, J. D. G.
Duran
, and G.
Bossis
, “Normal stresses in a shear flow of magnetorheological suspensions: Viscoelastic versus Maxwell stresses
,” J. Rheol.
54
(5
), 1119
–1136
(2010
). 21.
de Vicente
, J.
, J. A.
Ruiz-Lopez
, E.
Andablo-Reyes
, J. P.
Segovia-Gutierrez
, and R.
Hidalgo-Alvarez
, “Squeeze flow magnetorheology
,” J. Rheol.
55
(4
), 753
–779
(2011
). 22.
Ruiz-Lopez
, J. A.
, R.
Hidalgo-Alvarez
, and J.
de Vicente
, “A micromechanical model for magnetorheological fluids under slow compression
,” Rheol. Acta
55
(3
), 215
–221
(2016
). 23.
Kuzhir
, P.
, M. T.
Lopez-Lopez
, G.
Vertelov
, C.
Pradille
, and G.
Bossis
, “Shear and squeeze rheometry of suspensions of magnetic polymerized chains
,” Rheol. Acta
47
(2
), 179
–187
(2008
). 24.
Rodriguez-Lopez
, J.
, P.
Castro Blazquez
, L.
Elvira
, F.
Montero de Espinosa
, J.
Ramirez
, and J.
de Vicente
, “On the yielding behaviour in magnetorheology using ultrasounds, shear and normal stresses, and optical microscopy
,” J. Phys. D: Appl. Phys.
48
(46
), 465503
(2015
). 25.
Zubarev
, A. Y.
, D. N.
Chirikov
, D. Y.
Borin
, and G. V.
Stepanov
, “Hysteresis of the magnetic properties of soft magnetic gels
,” Soft Matter
12
(30
), 6473
–6480
(2016
). 26.
Tian
, Y.
, J.
Jiang
, Y.
Meng
, and S.
Wen
, “A shear thickening phenomenon in magnetic field controlled-dipolar suspensions
,” Appl. Phys. Lett.
97
(15
), 151904
(2010
). 27.
Bossis
, G.
, Y.
Grasselli
, A.
Meunier
, and O.
Volkova
, “Outstanding magnetorheological effect based on discontinuous shear thickening in the presence of a superplastifier molecule
,” Appl. Phys. Lett.
109
(11
), 111902
(2016
). 28.
Labiausse
, V.
, R.
Hohler
, and S.
Cohen-Addad
, “Shear induced normal stress differences in aqueous foams
,” J. Rheol.
51
(3
), 479
–492
(2007
). 29.
Pan
, Z. C.
, H.
de Cagny
, M.
Habibi
, and D.
Bonn
, “Normal stresses in shear thickening granular suspensions
,” Soft Matter
13
(20
), 3734
–3740
(2017
). 30.
Poulos
, A. S.
, F.
Renou
, A. R.
Jacob
, N.
Koumakis
, and G.
Petekidis
, “Large amplitude oscillatory shear (LAOS) in model colloidal suspensions and glasses: frequency dependence
,” Rheol. Acta
54
(8
), 715
–724
(2015
). 31.
Aktas
, S.
, D. M.
Kalyon
, B. M.
Marin-Santibanez
, and J.
Perez-Gonzalez
, “Shear viscosity and wall slip behavior of a viscoplastic hydrogel
,” J. Rheol.
58
(2
), 513
–535
(2014
). 32.
Poynting
, J. H.
, “On pressure perpendicular to the shear planes in finite pure shears, and on the lenghtening of loaded wires when twisted
,” Proc. R. Soc. Lond. A
82
(557
), 546
–559
(1909
). 33.
Janmey
, P. A.
, M. E.
Mccormick
, S.
Rammensee
, J. L.
Leight
, P. C.
Georges
, and F. C.
Mackintosh
, “Negative normal stress in semiflexible biopolymer gels
,” Nat. Mater.
6
(1
), 48
–51
(2007
). 34.
de Cagny
, H. C. G.
, B. E.
Vos
, M.
Vahabi
, N. A.
Kurniawan
, M.
Doi
, G. H.
Koenderink
, F. C.
MacKintosh
, and D.
Bonn
, “Porosity governs normal stresses in polymer gels
,” Phys. Rev. Lett.
117
(21
), 217802
(2016
). 35.
Adkins
, J. E.
, and R. S.
Rivlin
, “Large elastic deformations of isotropic materials. 10. Reinforcement by inextensible cords
,” Philos. Trans. R. Soc. Lond. A
248
(944
), 201
–223
(1955
). 36.
Liu
, T. X.
, X. L.
Gong
, Y. G.
Xu
, S. H.
Xuan
, and W. Q.
Jiang
, “Simulation of magneto-induced rearrangeable microstructures of magnetorheological plastomers
,” Soft Matter
9
(42
), 10069
–10080
(2013
). 37.
Melle
, S.
, O. G.
Calderon
, M. A.
Rubio
, and G. G.
Fuller
, “Rotational dynamics in dipolar colloidal suspensions: video microscopy experiments and simulations results
,” J. Non-Newtonian Fluid Mech.
102
(2
), 135
–148
(2002
). 38.
Klingenberg
, D. J.
, C. H.
Olk
, M. A.
Golden
, and J. C.
Ulicny
, “Effects of nonmagnetic interparticle forces on magnetorheological fluids
,” J. Phys. Condens. Matter
22
(32
), 324101
(2010
). 39.
See the supplementary material at https://doi.org/10.1122/1.5030952 for the adhesion performance, particle structure, repeatability, Fourier rheology spectrum, normal stress with angles of structuration, and calculation parameters of MRPG.
© 2018 The Society of Rheology.
2018
The Society of Rheology
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