Advances in measuring linear viscoelastic properties using novel deformation geometries and Fourier transform techniques

  • See, Howard (School of Aerospace, Mechanical & Mechatronic Engineering, The University of Sydney)
  • 발행 : 2001.06.01

초록

The development of new techniques for the dynamic measurement of linear viscoelastic properties is an active area of rheometry, and this paper surveys some novel deformation geometries which have been recently reported e.g. oscillating probe-type devices which are imbedded in or placed on the surface of the sample. Small amplitude band-limited pseudorandom noise is used for the displacement signal, with Fourier analysis of the complex waveform of the resistance force yielding the frequency dependent viscoelastic material functions (e.g. storage and loss moduli G", G"). Theoretical calculations of the fundamental equations relating force to displacement and instrument geometry, were carried out with the aid of the correspondence principle of linear viscoelasticity. The rapidity of the tests and flexibility in terms of sample preparation and stiffness mean that this basic technique should find many applications in rheometry. Three examples of oscillatory tests are presented in detail squeeze flow, imbedded needle and concentric sliding cylinder geometries.eometries.

키워드

참고문헌

  1. Pharmaceutical and biological materials with general rheology Rheology of food Affrossman, S.;D. Hayward;A. McKee;A. Mackinnon;D. Lairez;R.A. Pethrick;A. Vatalis;F.S. Baker;R.E. Carter;Carter R.E.(ed.)
  2. Cement & Concrete Research v.21 Simultaneous rheological and kinetic measurements on cement pastes Banfill, P.F.G.;R.E. Carter;P.J. Weaver
  3. J. Colloid Sci. v.3 A penetroviscometer for very viscous liquids Bikerman, J.J.
  4. Dynamics of polymeric liquids (2ed.) v.1 Bird, R.B.;R.C. Armstrong;O. Hassager
  5. The theory of linear viscoelasticity Bland, D.R.
  6. The Fourier transform and its applications (3ed) Bracewell, R.N.
  7. Mechanics of composite materials Christensen, R.M.
  8. Techniques in rheological measurement Collyer, A.A.(ed.)
  9. Rheological measurement(2ed.) Collyer, A.A.(ed.);D.W. Clegg(ed.)
  10. Math. Comp. v.19 An algorithm for the machine calculation of complex Fourier series Cooley, J.W.;J.W. Tukey
  11. rheological measurement(2ed.) Sliding plate and sliding cylinder rheometers Dealy, J.M.;A.J. Giacomin;Collyer A.A.(ed.);D.W. Clegg(ed.)
  12. Viscoelastic properties of polymers(3ed.) Ferry, J.D.
  13. PhD Thesis, University of Sydney Determination of materials properties from the deformation of small volumes Field, J.S.
  14. J. Non-Newtonian Fluid Mech. v.65 An experimental investigation of the use of random squeezing to determine the complex modulus of viscoelastic fluids Field, J.S.;M.V. Swain;N. Phan-Thien
  15. Rheological measurement(2ed.) Squeeze flow Gibso, A.G.;G. Kotsikos;J.H. Bland;S. Toll;Collyer A.A.(ed.);D.W. Clegg(ed.)
  16. Proc. 39th Annual Scientific Meeting of International Association for Dental Research(ANZ Division) The viscoelastic properties of alginate hydrocolloid impression material Gonsalkorale, S.;G. Thomas;H. See;M. Swain
  17. Viscoelasticity of engineering materials Haddad, Y.M.
  18. Int. J. Solids Structures v.6 Complex moduli of viscoelastic composites-Ⅰ. General theory and application to particulate composites Hashin, Z.
  19. Rheol. Acta v.14 Dynamic viscoelastic behavior of wheat flour doughs Hibberd, G.E.;N.S. Parker
  20. Mechanics of elastic contacts Hills, D.A.;D. Nowell;A. Sackfield
  21. J. Non-Newtonian Fluid Mech. v.27 Fourier transform mechanical spectroscopy of viscoelastic materials with transient structure Holly, E.;S.K. Ventakaram;F. Chambon;H. Winter
  22. Rheol. Acta v.32 A nonlinear regularization method for the calculation of relaxation spectra Honerkamp, J.;J. Weese
  23. The art of electronics(2ed.) Horowitz, P.;W. Hill
  24. Applied Science The oretical rheology Hutton, J.F.(ed.);J.R.A. Pearson(ed.);K. Walters(ed.)
  25. Rheological characterisation of dental composite resin cements during curing, to be presented at 3rd Pacific Rim Conference on Rheology Jiang, P.;H. See;M. Swain
  26. Contact mechanics Johnson, K.L.
  27. Trans. ASME J. Applied Mech. The contact problem for viscoelastic bodies Lee, E.H.;J.R.M. Radok
  28. Machine Design v.63 Material breakthrough spurs actuator design Goodfriend, M.
  29. Techniques in Rheological Measurement Rheological measurements on small samples Mackay, M.E.;Collyer A.A.(ed.)
  30. Rheological Measurement(2ed.) Rheological measurements on small samples Mackay, M.E.;Collyer A.A.(ed.);D.W. Clegg(ed.)
  31. J. Rheol. v.22 An improved rheometer design used to measure viscoelastic properties of polymer melts McCarthy, R.V.
  32. Rheology principles, measurements, and applications Macosko, C.W.
  33. Techniques in Rheological Measurement Dynamic mechanical analysis using complex waveforms Nelson, B.I.;J.M. Dealy;Collyer A.A.(ed.)
  34. International Polymer Processing v.9 An in-line melt rheometer for molten plastics Nelson, B.I.;T.O. Broadhead;W.I. Paterson;J.M. Dealy
  35. Rheological Measurement(2ed.) Dynamic mechanical analysis using complex waveforms Nelson, B.I.;J.M. Dealy;Collyer A.A.(ed.);D.W. Clegg(ed.)
  36. Rheology theory and application v.3 The principles of rheometry Oka, S.;Eirich F.R.(ed.)
  37. Techniques in rheological measurement Rheological studies using a vibrating probe method Pethrick, R.A.;Collyer A.A.(ed.)
  38. Rheological measurement(2ed.) Rheological studies using a vibrating probe method Pethrick, R.A.;Collyer A.A.(ed.);D.W. Clegg(ed.)
  39. ZAMM v.61 On the fibre pull-out problem Phan-Thien, N.;C.J. Goh
  40. ZAMP v.33 On the elastic fibre pull-out problem Phan-Thien, N.;G. Pantelis;M.B. Bush
  41. Microstructures in elastic media: principles and computational method Phan-Thien, N.;S. Kim
  42. Rheol. Acta v.35 Micro-Fourier rheometer: Inertial effects Phan-Thien, N.;J.S. Field;M.V. Swain
  43. Rheol. Acta v.39 Oscillatory squeezing flow of a biological material Phan-Thien, N.;S. Nasseri;L.E. Bilston
  44. Lectures on viscoelasticity theory Pipkin, A.C.
  45. J. Appl. Polym. Sci. v.51 UV cure monitoring of epoxy-acrylate resins Radhakrishnan, S.;R.A. Pethrick
  46. The FFT fundamentals and concepts Ramirez, R.W.
  47. ZAMP v.24 On the effective moduli of composite materials: Effects of fibre length and geometry at dilute concentration Russel, W.B.
  48. Composite materials v.2 Viscoelastic behavior an analysis of composite materials Schapery, R.A.;Sendeckyj G.P.(ed.)
  49. IUTAM 97-9 Rheology and computation Electrorheological fluid under squeezing flow See, H.;J. Field;B. Pfister;M. Swain;N. Phan-Thien
  50. Proc. 8th National Conf. on Rheol. In situ determination of matrix viscoelasticity of concentrated filler composites See, H.;C.Y. Ho;N. Phan-Thien;Nguyen Q.D.(ed.);R.R. Huilgol(ed.)
  51. J. Non-Newtonian Fluid Mech. v.84 The response of electrorheological fluid under oscillatory squeeze flow See, H.;J. Field;B. Pfister
  52. Rheol. Acta v.38 Measurement of the viscoelastic properties of bituminous materials using an oscillating needle technique See, H.;A-M. Maher;J. Field;B. Pfister;M. Swain;N. Phan-Thien
  53. Meas. Sci. Technol. v.11 Using pseudorandom axial oscillations of concentric cylinders to measure the viscoelastic properties of fluids See, H.
  54. Proc. ⅩⅢth International Congress on Rheology v.3 The oscillating needle technique for measuring viscoelastic properties See, H.;A-M. Maher;J. Field;B. Pfister;M Swain;N. Phan-Thien;Binding D.M.(ed.);N.E. Hudson(ed.);J. Mewis(ed.);J.-M. Piau(ed.);C.J.S. Petrie(ed.);P. Townsend(ed.);M.H. Wagner(ed.);K. Walters(ed.)
  55. Rheol. Acta v.39 Concentration dependence of the linear viscoelastic properties of particle suspensions See, H.;P. Jiang;N. Phan-Thien
  56. J. Soc. Rhel. Japan v.25 A new system for viscoelastic measurement with mechanical impedance Shikata, T.;H. Niwa;Y. Morishima
  57. J. Appl. Phys. v.20 Measurements of the mechanical properties of polymer solutions by electromagnetic transducers Smith, T.L.;J.D. Ferry;F.W. Schremp
  58. Proc. 10th Australian Asphalt and Pavement Assoc. International Flexible Pavement Conference v.28 Development of a microrheometer for binder in pavement Swain, M.V.;A. Meydan;J.S. Field;B. Pfister;T.J. Bell;R.S. Anderssen
  59. Engineering Rheology(2ed.) Tanner, R.I.
  60. J. Rheol. v.29 Measurement of fast transient and steady-state responses of viscoelastic fluids with a sliding cylinder rheometer executing coaxial displacements Tsai, A.T.;D.S. Soong
  61. Computational frameworks for the fast Fourier transform Van, Loan C.
  62. Fast Fourier transform(2ed.) Walker, J.S.
  63. Rheometry Walters, K.
  64. Rheological techniques(2ed.) Whorlow, R.W.