Toward modeling anisotropic yield stress and consistency induced by fiber in fiber-reinforced viscoplastic fluids

Journal of Non-Newtonian Fluid Mechanics

Volumn 220, Issue , 2015, Pages 69-76

  Ferec J ^a   Perrot, A ^a   Ausias, G ^a  

^a UNIVERSITÉ DE BRETAGNE SUD   (France)

Author keywords

Anisotropic yield stress; Fiber suspension; Herschel Bulkley fluid; Interaction tensors; Orientation tensors; Reinforced viscoplastic fluid

Indexed keywords

ANISOTROPIC FLUIDS; ANISOTROPY; FIBERS; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; PLASTIC FLOW; REINFORCEMENT; SHEAR FLOW; SHEAR THINNING; STEEL FIBERS; TENSORS; VISCOPLASTICITY;

ANISOTROPIC YIELDS; FIBER SUSPENSIONS; HERSCHEL-BULKLEY FLUIDS; ORIENTATION TENSOR; VISCOPLASTIC FLUID;

YIELD STRESS;

EID: 84929380280     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2014.08.009     Document Type: Article

References (71)

1. Foster S. The application of steel-fibres as concrete reinforcement in Australia: from material to structure. Mater. Struct. 2009, 42:1209-1220.
2. Lepech M., Li V. Application of ECC for bridge deck link slabs. Mater. Struct. 2009, 42:1185-1195.
3. Serna P., Arango S., Ribeiro T., Nuez A.M., Garcia-Taengua E. Structural cast-in-place SFRC: technology, control criteria and recent applications in spain. Mater. Struct. 2009, 42:1233-1246.
4. Pujadas P., Blanco A., Fuente A., Aguado A. Cracking behavior of FRC slabs with traditional reinforcement. Mater. Struct. 2012, 45:707-725.
5. Ferrara L., Meda A. Relationships between fibre distribution, workability and the mechanical properties of SFRC applied to precast roof elements. Mater. Struct. 2006, 39:411-420.
6. di Prisco M., Plizzari G., Vandewalle L. Fibre reinforced concrete: new design perspectives. Mater. Struct. 2009, 42:1261-1281.
7. Walraven J. High performance fiber reinforced concrete: progress in knowledge and design codes. Mater. Struct. 2009, 42:1247-1260.
8. FIB, fib Model Code for Concrete Structures 2010, Ernst & Sohn, 2013.
9. Boulekbache B., Hamrat M., Chemrouk M., Amziane S. Flowability of fibre-reinforced concrete and its effect on the mechanical properties of the material. Constr. Build. Mater. 2010, 24:1664-1671.
10. Boulekbache B., Hamrat M., Chemrouk M., Amziane S. Influence of yield stress and compressive strength on direct shear behaviour of steel fibre-reinforced concrete. Constr. Build. Mater. 2012, 27:6-14.
11. Dils J., Boel V., De Schutter G. Influence of cement type and mixing pressure on air content, rheology and mechanical properties of UHPC. Constr. Build. Mater. 2013, 41:455-463.
12. Ferrara L., Bamonte P., Caverzan A., Musa A., Sanal I. A comprehensive methodology to test the performance of Steel Fibre Reinforced Self-Compacting Concrete (SFR-SCC). Constr. Build. Mater. 2012, 37:406-424.
13. Ferrara L., Ozyurt N., di Prisco M. High mechanical performance of fibre reinforced cementitious composites: the role of "casting-flow induced" fibre orientation. Mater. Struct. 2011, 44:109-128.
14. Hedebratt J., Silfwerbrand J. Full-scale test of a pile supported steel fibre concrete slab. Mater. Struct. 2014, 47:647-666.
15. Ozyurt N., Mason T.O., Shah S.P. Correlation of fiber dispersion, rheology and mechanical performance of FRCs. Cem. Concr. Comp. 2007, 29:70-79.
16. Pajek M., Ponikiewski T. Flexural behavior of self-compacting concrete reinforced with different types of steel fibers. Constr. Build. Mater. 2013, 47:397-408.
17. Parant E., Rossi P., Boulay C. Fatigue behavior of a multi-scale cement composite. Cem. Concr. Res. 2007, 37:264-269.
18. Rossi P., Arca A., Parant E., Fakhri P. Bending and compressive behaviours of a new cement composite. Cem. Concr. Res. 2005, 35:27-33.
19. Rossi P., Coussy O., Boulay C., Acker P., Malier Y. Comparison between plain concrete toughness and steel fibre reinforced concrete toughness. Cem. Concr. Res. 1986, 16:303-313.
20. Ferrara L., Faifer M., Muhaxheri M., Toscani S. A magnetic method for non destructive monitoring of fiber dispersion and orientation in steel fiber reinforced cementitious composites. Part 2: correlation to tensile fracture toughness. Mater. Struct. 2012, 45:591-598.
21. Kang S.-T., Kim J.-K. The relation between fiber orientation and tensile behavior in an Ultra High Performance Fiber Reinforced Cementitious Composites (UHPFRCC). Cem. Concr. Res. 2011, 41:1001-1014.
22. Kuder K.G., Shah S.P. Processing of high-performance fiber-reinforced cement-based composites. Constr. Build. Mater. 2010, 24:181-186.
23. Qian X., Zhou X., Mu B., Li Z. Fiber alignment and property direction dependency of FRC extrudate. Cem. Concr. Res. 2003, 33:1575-1581.
24. Sanal I., Ozyurt Zihnioglu N. To what extent does the fiber orientation affect mechanical performance?. Constr. Build. Mater. 2013, 44:671-681.
25. Laranjeira F., Aguado A., Molins C. Predicting the pullout response of inclined straight steel fibers. Mater. Struct. 2010, 43:875-895.
26. Barnett S.J., Lataste J.-F., Parry T., Millard S.G., Soutsos M.N. Assessment of fibre orientation in ultra high performance fibre reinforced concrete and its effect on flexural strength. Mater. Struct. 2010, 43:1009-1023.
27. Ferrara L., Cremonesi M., Tregger N., Frangi A., Shah S.P. On the identification of rheological properties of cement suspensions: rheometry, computational fluid dynamics modeling and field test measurements. Cem. Concr. Res. 2012, 42:1134-1146.
28. Kuder K.G., Ozyurt N., Mu E.B., Shah S.P. Rheology of fiber-reinforced cementitious materials. Cem. Concr. Res. 2007, 37:191-199.
29. Martinie L., Lataste J.-F., Roussel N. Fiber orientation during casting of UHPFRC: electrical resistivity measurements, image analysis and numerical simulations. Mater. Struct. 2013, 1-11.
30. Martinie L., Rossi P., Roussel N. Rheology of fiber reinforced cementitious materials: classification and prediction. Cem. Concr. Res. 2010, 40:226-234.
31. Martinie L., Roussel N. Simple tools for fiber orientation prediction in industrial practice. Cem. Concr. Res. 2011, 41:993-1000.
32. Perrot A., Lecompte T., Estellé P., Amziane S. Structural build-up of rigid fiber reinforced cement-based materials. Mater. Struct. 2013, 46:1561-1568.
33. Ghanbari A., Karihaloo B.L. Prediction of the plastic viscosity of self-compacting steel fibre reinforced concrete. Cem. Concr. Res. 2009, 39:1209-1216.
34. Kaufmann J., Winnefeld F., Hesselbarth D., Trindler W. Evaluation of the consistency of fiber reinforced cementitious composites. Mater. Struct. 2006, 39:645-654.
35. Li M., Li V. Rheology, fiber dispersion, and robust properties of Engineered Cementitious Composites. Mater. Struct. 2013, 46:405-420.
36. Kang S.-T., Kim J.-K. Numerical simulation of the variation of fiber orientation distribution during flow molding of Ultra High Performance Cementitious Composites (UHPCC). Cem. Concr. Comp. 2012, 34:208-217.
37. Laranjeira F., Aguado A., Molins C., Grünewald S., Walraven J., Cavalaro S. Framework to predict the orientation of fibers in FRC: a novel philosophy. Cem. Concr. Res. 2012, 42:752-768.
38. Perrot A., Lecompte T., Khelifi H., Brumaud C., Hot J., Roussel N. Yield stress and bleeding of fresh cement pastes. Cem. Concr. Res. 2012, 42:937-944.
39. Roussel N., Lemaître A., Flatt R.J., Coussot P. Steady state flow of cement suspensions: a micromechanical state of the art. Cem. Concr. Res. 2010, 40:77-84.
40. Banfill P.F.G. Rheology of Fresh Cement and Concrete, Rheology Reviews, Chapter, 61-130 2006, The British Society of Rheology, London.
41. Chateau X., Ovarlez G., Trung K.L. Homogenization approach to the behavior of suspensions of noncolloidal particles in yield stress fluids. J. Rheol. 2008, 52:489-506.
42. Mahaut F., Chateau X., Coussot P., Ovarlez G. Yield stress and elastic modulus of suspensions of noncolloidal particles in yield stress fluids. J. Rheol. 2008, 52:287-313.
43. Mahaut F., Mokeddem S., Chateau X., Roussel N., Ovarlez G. Effect of coarse particle volume fraction on the yield stress and thixotropy of cementitious materials. Cem. Concr. Res. 2008, 38:1276-1285.
44. Doi M., Edwards S.F. Dynamics of rod-like macromolecules in concentrated solution. Part 1. J. Chem. Soc., Faraday Trans. 1978, 2(74):560-570.
45. Philipse A.P. The random contact equation and its implications for (colloidal) rods in packings, suspensions, and anisotropic powders. Langmuir 1996, 12. 5971-5971.
46. Philipse A.P. The random contact equation and its implications for (colloidal) rods in packings, suspensions, and anisotropic powders. Langmuir 1996, 12:1127-1133.
47. Poitou A., Chinesta F., Bernier G. Orienting fibers by extrusion in reinforced reactive powder concrete. J. Eng. Mech. 2001, 127:593-598.
48. Jeffery G.B. The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. Lond. A 1922, 102:161-179.
49. J.M. Burgers, On the motion of small particles of elongated form suspended in a viscous liquid, Second Report on Viscosity and Plasticity, Chapter 3, 16 (4), 113-184, V. Kon. Ned. Akad. Wet., (Erste Sectie), North-Holland, Amsterdam, 1938.
50. Batchelor G.K. Slender-body theory for particles of arbitrary cross-section in Stokes flow. J. Fluid Mech. 1970, 44:419-440.
51. Dinh S.M., Armstrong R.C. A rheological equation of state for semiconcentrated fiber suspensions. J. Rheol. 1984, 28:207-227.
52. Advani S.G., Tucker C.L. The use of tensors to describe and predict fiber orientation in short fiber composites. J. Rheol. 1987, 31:751-784.
53. Advani S.G., Tucker C.L. Closure approximations for three-dimensional structure tensors. J. Rheol. 1990, 34:367-386.
54. Souloumiac B., Vincent M. Steady shear viscosity of short fibre suspensions in thermoplastics. Rheol. Acta 1998, 37:289-298.
55. Gibson A.G., Toll S. Mechanics of the squeeze flow of planar fibre suspensions. J. Non-Newtonian Fluid Mech. 1999, 82:1-24.
56. Férec J., Ausias G., Heuzey M.-C., Carreau P.J. Modeling fiber interactions in semiconcentrated fiber suspensions. J. Rheol. 2009, 53:49-72.
57. Natale G., Heuzey M.C., Carreau P.J., Ausias G., Férec J. Rheological modeling of carbon nanotube suspensions with rod-rod interactions. AIChE J. 2014, 60:1476-1487.
58. Onsager L. The effects of shape on the interaction of colloidal particles. Ann. N. Y. Acad. Sci. 1949, 51:627-659.
59. Cintra J.S., Tucker C.L. Orthotropic closure approximations for flow-induced fiber orientation. J. Rheol. 1995, 39:1095-1122.
60. Jack D.A., Schache B., Smith D.E. Neural network-based closure for modeling short-fiber suspensions. Polym. Compos. 2010, 31:1125-1141.
61. Férec J., Abisset-Chavanne E., Ausias G., Chinesta F. On the use of interaction tensors to describe and predict rod interactions in rod suspensions. Rheol. Acta 2014, 53:445-456.
62. Ammar A., Mokdad B., Chinesta F., Keunings R. A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids. J. Non-Newton. Fluid Mech. 2006, 139:153-176.
63. Ammar A., Mokdad B., Chinesta F., Keunings R. A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids: Part II: Transient simulation using space-time separated representations. J. Non-Newton. Fluid Mech. 2007, 144:98-121.
64. Férec J., Heniche M., Heuzey M.C., Ausias G., Carreau P.J. Numerical solution of the Fokker-Planck equation for fiber suspensions: application to the Folgar-Tucker-Lipscomb model. J. Non-Newton. Fluid Mech. 2008, 155:20-29.
65. Dhont J.K.G., Briels W.J. Viscoelasticity of suspensions of long, rigid rods. Colloid Surf. A 2003, 213:131-156.
66. Bird R.B., Curtiss C.F., Armstrong R.C., Hassager O. Dynamics of Polymeric Liquids, Kinetic Theory 1987, vol. 2. Wiley, New York.
67. S. Grünewald, 9 - Fibre reinforcement and the rheology of concrete, Understanding the Rheology of Concrete, Chapter, 229-256, N. Roussel, Woodhead Publishing, 2012.
68. Toll S. Packing mechanics of fiber reinforcements. Polym. Eng. Sci. 1998, 38:1337-1350.
69. Doi M., Edwards S.F. The Rheology of Polymer Dynamics 1986, Oxford Science Publications.
70. Ranganathan S., Advani S.G. Fiber-fiber interactions in homogeneous flows of nondilute suspensions. J. Rheol. 1991, 35:1499-1522.
71. Toll S. Note: on the tube model for fiber suspensions. J. Rheol. 1993, 37:123-125.