Constitutive Model of a Transversely Isotropic Bingham Fluid

[+] Author and Article Information
D. N. Robinson

Department of Civil Engineering, University of Akron, Akron, OH 44325

K. J. Kim, J. L. White

Institute of Polymer Engineering, University of Akron, Akron, OH 44325

J. Appl. Mech 69(5), 641-648 (Aug 16, 2002) (8 pages) doi:10.1115/1.1483831 History: Received January 03, 2000; Revised December 14, 2001; Online August 16, 2002
Copyright © 2002 by ASME
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Grahic Jump Location
“Natural” stress states
Grahic Jump Location
Combined shear stress (LS) and normal stress (TN)
Grahic Jump Location
Threshold curves in normalized σ/KL,τ/KL space. PS/TALC 40V%–0.474, Isotropic–0.577.
Grahic Jump Location
Family of curves Φ=const. (F=const.,μ̄=const.) for PS/Talc 40V%. Illustrates normality.
Grahic Jump Location
Fluid elements showing preferential and flow directions; (a) disk-like filler particles, (b) elongated fiber filler particles
Grahic Jump Location
Apparent viscosity (Pa-S) versus stress (Pa) for PS/TALC 20% (symbols). Correlation of shear flow (LS)–(solid curve). Prediction of elongational flow (TN)–(dashed curve).
Grahic Jump Location
Apparent viscosity (Pa-S) versus stress (Pa) for PS/TALC 40% (symbols). Correlation of shear flow (LS)–(solid curve). Prediction of elongational flow (TN)–(dashed curve).
Grahic Jump Location
Convex Ω=const. surfaces in σ , V space. Threshold surface F=0(μ̄=∞). Illustrates normality.



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