Abstract
Those who are serious about their desire to formulate constitutive equations which actually describe the behavior of visco-elastic media naturally wish to be able to have their equations subjected to experimental test. To this end, it is fruitful to seek to derive from a given theory relations among observable quantities. By an observable quantity in the context of our subject we mean a quantity which may be defined operationally in terms of a given flow or deformation history which may be carried out experimentally to within acceptable accuracy, i.e. a quantity which may be determined by rheological measurements. Steady state shearing stress, normal stress and complex dynamic shear modulus are examples of such quantities as are also elongational viscosity and the infinitesimal shear-relaxation modulus. We do not believe that there would be any objection if we referred to such quantities as “rheological quantities” and to relations among them as “rheological relations”.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Coleman, B. D. and H. Markovitz, Arch. Rat. Mech. Anal. 17, 1 (1964).
Bernstein, B., E. A. Kearsley, and L. J. Zapus, Trans. Soc. Rheology 7, 391 (1963).
Bernstein, B., Acta Mechanica 2, 329 (1966).
Kaye, A., College of Aeronautics, Cranfield Note No. 134(1962).
Zapas, L. J. and T. Craft, J. Res. Nat. Bur. Standards U.S.A. 69 A, 541 (1965).
Zapas, L. J., J. Res. Nat. Bur. Standards U.S.A. 70 A, 541 (1965).
Zapas, L. J. and J. C. Phillips, J. Res. Nat. Bur. Standards U.S.A. 75 A, 33 (1971).
Booij, H. C., Effect of Superimposed Steady Shear Flow on the Dynamic Properties of Polymeric Fluids. Doctoral Thesis, Leiden (1970).
Bernstein, B., Int. J. Nonlinear Mech. 4, 183 (1969).
Bernstein, B. and R. L. Fosdick, Rheol. Acta 9, 186 (1970).
Booij, H. C., Rheol. Acta 5, 216 (1966).
Tanner, R. I. and G. W. Williams, Rheol. Acta 10, 528 (1971).
Bernstein, B. and R. R. Huilgol, Trans. Soc. Rheology 15, 731 (1972).
Bernstein, B., R. R. Huilgol, and R. I. Tanner, Int. J. Eng. Sci. 10, 263 (1972).
Simmons, J. M., Rheol. Acta 7, 184 (1968).
Osaki, K., M. Tamura, M. Kurata, and T. Kotaka, J. Phys. Chem. 69, 4183 (1965).
Kataoka, T. and S. Ueda, J. Polymer Sci. Part A2, 7, 475 (1969).
Walters, K. and T. E. R. Jones, Proc. of Fifth Int. Cong. Rheology, edited by S. Onogi, 4, 337 (Univ. Park Press 1970).
Bernstein, B., Rheol. Acta 11, 210 (1972).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1975 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Bernstein, B. (1975). On rheological relations. In: Vallet, G., Meskat, W. (eds) Rheological Theories · Measuring Techniques in Rheology Test Methods in Rheology · Fractures Rheological Properties of Materials · Rheo-Optics · Biorheology. Steinkopff, Heidelberg. https://doi.org/10.1007/978-3-662-41458-3_36
Download citation
DOI: https://doi.org/10.1007/978-3-662-41458-3_36
Publisher Name: Steinkopff, Heidelberg
Print ISBN: 978-3-7985-0424-0
Online ISBN: 978-3-662-41458-3
eBook Packages: Springer Book Archive