Rheological Behavior Identification of Materials from Oscillatory Shear
DOI: 10.14416/j.ind.tech.2020.12.009
Keywords:
Oscillatory shear; Rheological behavior identification; Ewoldt grid; Pipkin diagramAbstract
The objective of this article is to report how to identify the rheological behavior of material from oscillatory shear testing which is a wildly used method to classify material. This article uses official functions announced by the Society of Rheology (SOR) to acquaint those researchers. An oscillatory shear flow can be classified by its shear strain. For small shear strain, i.e. at small Weissenberg number Wi < 1, the flow is called small amplitude oscillatory shear, SAOS in which the stress in the fluid is a linear function of the shear strain. However, for large shear strain, Wi > 1, such flow can be classified as a large amplitude oscillatory shear, LAOS, flow where the shear stress can be described by Fourier series of the shear strain. Lastly, any oscillatory flow can be written in complex functions, which very useful for dynamic mechanical analysis. Up until now, Ewoldt grid on Pipkin diagram is the most widely used method for researchers to classify material behaviors.
References
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[13] C. Saengow and A.J. Giacomin Exact Solutions for Oscillatory Shear Sweep Behaviors of Complex Fluids from Oldroyd 8-Constant Framework, Physics of Fluids, 2018, 30, 030703.
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[20] C. Saengow and A.J. Giacomin, Normal Stress Differences from Oldroyd 8-Constant Framework: Exact Analytical Solution For Large-Amplitude Oscillatory Shear Flow, Physics of Fluids, 2017, 29, 121601.
[21] C. Saengow, A.J. Giacomin, C. Kolitawong Exact Analytical Solution for Large-Amplitude Oscillatory Shear Flow, Macromolecular Theory and Simulations, 2015, 24(4), 352-392.
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[27] A.C. Pipkin, Lectures in Viscoelastic Theory, Springer-Verlag, NY, USA, 1972.
[28] N. Eiamnipon, P. Nimdum, J. Renard and C. Kolitawong, (2012) Low Velocity Impact Responses and Impact-Induced Damages on Steel Cord-Rubber Composite, ECCM-15th European Conference on Composite Materials, Proceedings, 1-6.
[29] R.H. Ewoldt, A.E. Hosoi and G.H. McKinley, New Measures for Characterizing Nonlinear Viscoelasticity in Large Amplitude Oscillatory Shear, Journol of Rheology, 2008, 52, 1427.
[30] R.H. Ewoldt, P. Winter, J. Maxey and G.H. McKinley, Large Amplitude Oscillatory Shear of Pseudoplastic and Elastoviscoplastic Materials, Rheologica Acta, 2010, 49, 191-212.
[31] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series No. 55, U.S. Govt. Printing Office, Washington, D.C, USA, 1964, p.776.
[32] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, 9th printing, Dover, NY, USA, 1972, p.776.
[2] S. Wangchai, C. Kolitawong, and A. Chaikittiratna, Finite Element Simulation for Heat Built-up in Vulcanized Natural Rubber Subjected to Dynamic Load, The Journal of King Mongkut’s University of Technology North Bangkok, 2008, 18(3), 49-61. (in Thai).
[3] S. Wangchai, C. Kolitawong, and A. Chaikittiratna, Finite Element Analysis of Heat Generation in Particle Filled Natural rubber Valcanizates During Cyclic Deformation, The Journal of King Mongkut’s University of Technology North Bangkok, 2011, 21(1), 754-762. (in Thai).
[4] I.M. Ward and J. Sweeney, An Introduction to The Mechanical Properties of Solid Polymers, Chapter 7, 2nd ed., John Wiley & Sons, Ltd., West Sussex, UK, 2004.
[5] W. Gleißle, Rate- or Stress-Controlled Rheometry, Chapter 12, Rheological Measurement, 2nd ed., Chapman and Hall, London & New York, USA, 1998, p.357-391.
[6] K.S. Cho, Viscoelasticity of Polymers: Theory and Numerical Algorithms, Section 2.3, Chapter 5 and Chapter 11, Springer Series in Materials Science Vol. 241, Springer, Dordrecht. 2016.
[7] C. Saengow, A.J. Giacomin, P.H. Gilbert and C. Kolitawong, Reflections on Inflections, Korea-Australia Rheology Journal, 2015, 27(4), 267-285.
[8] Ad Hoc Committee on Official Nomenclature and Symbols, Official Symbols and Nomenclature of the Society of Rheology, Journal of Rheology, 2013, 57, 1047.
[9] J.M. Dealy, Official Nomenclature for Material Functions Describing the Response of a Viscoelastic Fluid to Various Shearing and Extensional Deformations, Journal of Rheology, 1984, 28, 181.
[10] J.M. Dealy, Official Nomenclature for Material Functions Describing the Response of a Viscoelastic Fluid to Various Shearing and Extensional Deformations, Journal of Rheology, 1995, 39, 253.
[11] R.J. Poole, The Deborah and Weissenberg Numbers, The British Society of Rheology, Rheology Bulletin, 2012, 53(2), 32-39.
[12] C. Saengow, A.J. Giacomin, and C. Kolitawong, Exact Analytical Solution for Large-Amplitude Oscillatory Shear Flow From Oldroyd 8-Constant Framework: Shear Stress, Physics of Fluids, 2017, 29(4), 043101.
[13] C. Saengow and A.J. Giacomin Exact Solutions for Oscillatory Shear Sweep Behaviors of Complex Fluids from Oldroyd 8-Constant Framework, Physics of Fluids, 2018, 30, 030703.
[14] P. Poungthong, C. Saengow, A.J. Giacomin, C. Kolitawong, D.M. Merger, and M. Wilhelm, Padé Approximation for Normal Stress Differences in Large-Amplitude Oscillatory Shear Flow, Physics of Fluids, 2018, 30(4), 040910.
[15] J.M. Dealy, and K.F. Wissbrun, Melt Rheology and its Role in Plastics Processing: Theory and Applications, Section 5.7, Van Nostrand Reinhold, New York. 1990.
[16] A.J. Giacomin and J.M. Dealy, Using large-amplitude oscillatory shear, Chapter 11, Rheological Measurement, 2nd ed., Chapman and Hall, London & New York, 1998, p.327-356.
[17] C. Kolitawong, Local Shear Stress Transduction in Sliding Plate Rheometry, Section 4.2, Ph.D. Dissertation, The University of Wisconsin-Madison, USA. 2002.
[18] J.D. Ferry, Viscoelastic properties of polymers, 2nd. ed., John Wiley & Sons, Inc., NY, USA, 1970.
[19] J.G. Nam, K. Hyun, K.H. Ahn and S.J. Lee, Phase Angle of the First Normal Stress Difference in Oscillatory Shear Flow, Korea-Australia Rheology Journal, 2010, 22(4), 247-258.
[20] C. Saengow and A.J. Giacomin, Normal Stress Differences from Oldroyd 8-Constant Framework: Exact Analytical Solution For Large-Amplitude Oscillatory Shear Flow, Physics of Fluids, 2017, 29, 121601.
[21] C. Saengow, A.J. Giacomin, C. Kolitawong Exact Analytical Solution for Large-Amplitude Oscillatory Shear Flow, Macromolecular Theory and Simulations, 2015, 24(4), 352-392.
[22] A.J. Giacomin, C Saengow, M Guay, C Kolitawong, Padé Approximants for Large-Amplitude Oscillatory Shear Flow, Rheologica Acta, 2015, 54, 679-693.
[23] F.B. Hildebrand, Advanced calculus for applications, Chapter 10, 2nd ed., Prantice-Hall, Inc., NJ, USA. 1976.
[24] F.A. Morrison, Understanding Rheology, Section 5.2.2.6, Oxford University Press, NY, USA, 2001.
[25] [ ] A.J. Giacomin and R.B. Bird, Erratum: Official Nomenclature of The Society of Rheology: -’’, Journal of Rheology, 2011, 55(4), 921-923.
[26] G. Marin, Oscillatory Rheometry, Chapter 1, Rheological Measurement, 2nd ed., Chapman and Hall, London & New York, 1998, p.3-46.
[27] A.C. Pipkin, Lectures in Viscoelastic Theory, Springer-Verlag, NY, USA, 1972.
[28] N. Eiamnipon, P. Nimdum, J. Renard and C. Kolitawong, (2012) Low Velocity Impact Responses and Impact-Induced Damages on Steel Cord-Rubber Composite, ECCM-15th European Conference on Composite Materials, Proceedings, 1-6.
[29] R.H. Ewoldt, A.E. Hosoi and G.H. McKinley, New Measures for Characterizing Nonlinear Viscoelasticity in Large Amplitude Oscillatory Shear, Journol of Rheology, 2008, 52, 1427.
[30] R.H. Ewoldt, P. Winter, J. Maxey and G.H. McKinley, Large Amplitude Oscillatory Shear of Pseudoplastic and Elastoviscoplastic Materials, Rheologica Acta, 2010, 49, 191-212.
[31] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series No. 55, U.S. Govt. Printing Office, Washington, D.C, USA, 1964, p.776.
[32] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, 9th printing, Dover, NY, USA, 1972, p.776.
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2020-12-12
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บทความวิชาการ (Academic article)
