The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Development of constitutive equations for polymeric melts and solutions
Abstract
The importance and characteristics of viscoelastic fluid behavior are briefly reviewed, as are theoretical predictions of the relationships between the stresses developed in such a fluid and its deformation rate and history. It is seen that most of the equations available for the prediction of these stresses(variously termed “constitutive equations” or “rheological equations of state”) either do not predict the properties of real materials correctly or, alternately, are of such overriding complexity that they cannot be applied to the solution of any but the simplest real problems. A new constitutive equation in which all the significant parameters may be evaluated from only two sets of experiments is developed. Comparison with available experimental results, while not entirely conclusive, indicates that the equation may predict correctly the behavior of nonpolar solutions and polymeric melts and that it may work well on polar systems in the range of high deformation rates, i.e., the region of primary industrial interest. Several problems of interest to the plastics industry are worked to illustrate the use of this constitutive equation.
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Citations
Cites
Principles of Polymer Chemistry.
Huggins, M. L. (1954) · Journal of the American Chemical Society · doi:10.1021/ja01639a090 · Cited by 16,550
The physics of rubber elasticity
Zimm, B. H., & Kilb, R. W. (1959) · Journal of Physics and Chemistry of Solids · doi:10.1016/0022-3697(59)90114-3 · Cited by 2,950
On the formulation of rheological equations of state
Oldroyd, J. G. (1950) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1950.0035 · Cited by 2,039
Hill, R. (1955) · Journal of the Mechanics and Physics of Solids · doi:10.1016/0022-5096(55)90017-x · Cited by 1,157
Flow of non‐newtonian fluids—correlation of the laminar, transition, and turbulent‐flow regions
Metzner, A. B., & Reed, J. C. (1955) · AIChE Journal · doi:10.1002/aic.690010409 · Cited by 1,039
Self-citationA New Approach to the Theory of Relaxing Polymeric Media
Green, M. S., & Tobolsky, A. V. (1946) · The Journal of Chemical Physics · doi:10.1063/1.1724109 · Cited by 889
Turbulent flow of non‐newtonian systems
Dodge, D. W., & Metzner, A. B. (1959) · AIChE Journal · doi:10.1002/aic.690050214 · Cited by 768
Self-citationMechanical Properties of Polymeric Materials
Tobolsky, A. V., & Eyring, H. B. (1943) · The Journal of Chemical Physics · doi:10.1063/1.1723812 · Cited by 465
Ericksen, J. L. (1960) · Transactions of the Society of Rheology · doi:10.1122/1.548864 · Cited by 354
Philippoff, W. (1956) · Journal of Applied Physics · doi:10.1063/1.1722554 · Cited by 94
Cited by
Baig, C., & Mavrantzas, V. G. (2009) · Physical Review B · doi:10.1103/physrevb.79.144302 · Cited by 30
Metadata
- Authors
- White, J. L., & Metzner, A. B.
- Venue
- Journal of Applied Polymer Science
- Publisher
- Wiley
- Published
- 1963-11
- Volume
- 7
- Issue
- 5
- Pages
- 1867-1889
- ISSN
- 0021-8995 (ISSN-L)
- 1097-4628
- OpenAlex
- W1976165744
- Cited by
- 275
- References
- 12
- FWCI
- 4.61
- Type
- journal article
- Language
- en
- Open access
- closed
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