Make your own free website on
Arthur S. Lodge     |     home
A. S. Lodge: Reports & Publications
l.  "Capture of Negative Mesons by Nuclei." Nature 161:809, 1948.
2. "The Strain-Energy Function as a Restriction on the Stress-Strain Relations of Ideally Elastic Solids," with K. Weissenberg. In Some Recent Developments in Rheology, p. 129. United Trade Press, 1950.
3. "The Compatibility Conditions for Large Strains." Quart. J. Mech. App1. Math. 4:85, 1950.
4. "On the Use of Convected Coordinate Systems in the Mechanics of Continuous Media." Proc. Camb. Phil. Soc. 47:575, 1951.
5.  "A New Theorem in the Classical Theory of Elasticity." Nature 169:926, 1952.
6. "Friction of an Elastic Solid," with H. G. Howell. Proc. Phys. Soc. B67:89, 1954.
7.     "Some Finite-Strain Generalizations of Boltzmann's Equation."     In Proc. 2nd Int. Congr. Rheo1., p. 229. Butterworth's, 1954.
8. "The Transformation to Isotropic Form of the Equilibrium Equation for a Class of Anisotropic Elastic Solids." Quart. J. Mech. App1. Math. 8:11, 1955.
9. "Variation of Flow Birefringence with Stress." Nature 176:838, 1955.
10. "A Network Theory of Flow Birefringence and Stress in Concentrated Polymer Solutions." Trans. Faraday Soc. 52:120. Reprinted by Japanese Physical Society in "Series of Selected Papers in Physics," High Polymer Physics V, Rheology II, 1956.
11.  "A Finite-Strain Theory of Flow Birefringence, Stress, and Elastic Recovery for an Idealized Solution of Long-Chain Molecules." Proc. 9th Congress Int. Union Theor. App1. Math., p. 426. Brussels, 1956.
12.     "A Theory of Elastic Recovery in Concentrated Solutions of Elastomers." In Rheology of Elastomers, p. 70. Pergamon Press, 1958.
13.     "A Network Theory of Constrained Elastic Recovery in Concentrated Polymer Solutions." Rheo1. Acta 1, 1958.
14.     "Rheological Properties of Concentrated Polymer Solutions." In Flow Properties of Blood and Other Biological Systems, p. 5.     Pergamon Press, 1960.

15.     "The Isotropy of Gaussian Molecular Networks and the Stress-Birefringence Relations for Rubberlike Materials Cross-Linked in Stressed States." Kolloid-Z. 171:46, 1960.
16. "Low-Compliance Diaphragm-Capacitance Pressure Gauge for Measurement of Liquid Pressures of the Order of 1 in. Water." J. Sci. Instrum. 37:401, 1960.
17.     "On the Methods of Measuring Normal Stress Differences in Shear Flow." Rheology Abstracts 3(3):21, 1960.
18. "Rheological Properties of Concentrated Polymer Solutions I. Growth of Pressure Fluctuations during Prolonged Shear Flow." Polymer 2:195, 1961.
19.     "A New Cone-and-Plate and Parallel Plate Apparatus for the Determination of Normal Stress Differences in Steady Shear Flow." Rheology Abstracts 4(3):29, 1961.
20.     "Recent Network Theories of the Rheological Properties of Moderately Concentrated Polymer Solutions." In Phénomènes de Relaxation et de Fluage en Rhéologie Non-Linéaire, p. 51. Paris, Editions du C.N.R.S., 1961.
21. "Rheological Properties of Concentrated Polymer Solutions II. A Cone-and-Plate and Parallel-Plate Pressure Distribution Apparatus for Determining Normal Stress Differences in Steady Shear Flow," with N. Adams. Phil. Trans. A256:149, 1964.
22.     Elastic Liquids: An Introductory Vector Treatment of Finite-Strain Polymer Rheology.     London and New York, Academic Press, 1964.     (Has also been published in Russian and Japanese.)
23. "Delayed Free Recovery in a Rubberlike Liquid after Steady Shear Flow," with D. J. Evans and D. B. Scully, Rheol. Acta 4:150, 1965.

24.     "Reologia dei Polimeri." La Scuola in Azione, San Donato Milanese, Scuola Enrico Mattei, p. 59, March 1965.

25.     "The Promotion of Research in Rheology." Rheol. Acta 5:63,1966.

26. "Determination of Normal Stress Differences in Steady Shear Flow. I. Stability of a Polyisobutene Liquid," with Judith M. Lipson. Rheo1. Acta 7:364-68, 1968.
27.     "Determination of Normal Stress Differences in Steady Shear Flow. II. Flow
Birefringence, Viscosity, and Normal Stress Data for a Polyisobutene Liquid," with A. Kaye and D. G. Vale. Rheo1. Acta 7:368-379, 1968.
28.     "Constitutive Equations from Molecular Network Theories for Polymer Solutions." Rheol. Acta 7:379-92, 1968.

29. "Possible Systematic Error in the Measurement of Normal Stress Differences in Shear Flow of Polymer Solutions," with J. M. Broadbent, A. Kaye, and D. G. Vale. Nature 217:55, 1968.
30.     "Concentrated Polymer Solutions." In Proc. 5th Int. Congr. Rheo1., vol. 4, p. 169. University of Tokyo Press, 1970.
31. "Constitutive Equations for Polymer Solutions Derived from the Bead/Spring Model of Rouse and Zimm," with Yeen-jing Wu. Rheo1. Acta 10:539, 1971.
32.     "Determination of Normal Stress Differences and Hole Pressure Error in Shear Flow Using a Plate-and-Truncated-Cone Apparatus." Rheo1. Acta 10:554-56, 1971.
33. "Determination of Normal-Stress Differences in Steady Shear Flow, III. A Wide-Gap Concentric Cylinder Apparatus," with J. M. Broadbent, Rheol. Acta 10:557-73, 1971.
34. "A Possible Mechanism for Stabilizing Elongational Flow in Certain Polymeric Liquids at Constant Temperature and Composition," with Hui Chang. Rheo1. Acta 10:448-49, 1971.
35.     "On the Description of Rheological Properties of Viscoelastic Continua, I. Body-, Space-, and Cartesian-Space-Tensor Fields." Rheo1. Acta 11:106-18, 1972.
36.     "On the Description of Rheological Properties of Viscoelastic Continua, II. Proof that Oldroyd's 1950 Formalism Includes All 'Simple Fluids,"' with J. H. Stark, Rheol. Acta 11:119-26, 1972.
37.     "Comparison of Rubberlike-Liquid Theory with Stress-Growth Data for Elongation of a Low-Density Branched Polyethylene Melt," with H. Chang. Rheo1. Acta 11:127-219, 1972.
38.     "On the Stability of Elongational Flow of Viscoelastic Liquids, I. The Rubberlike Liquid with a Single-Exponential Memory Function," with Hui Chang and J. B. McLeod. University of Wisconsin-Madison, Mathematics Research Center, TSR 1246, June 1972.
39.     "Exact Relaxation Times and Dynamic Functions for Dilute Polymer Solutions from the Bead/Spring Model of Rouse and Zimm," with Yeen-jing Wu. University of Wisconsin-Madison, Mathematics Research Center, TSR 1250, October 1972.
40. "On the Use of Instantaneous Strains, Superposed on Shear and Elongational Flows of Polymeric Liquids, to Test the Gaussian Network Hypothesis and to Estimate the Segment Concentration and Its Variation during Flow," with J. Meissner. Rheo1. Acta 11:351-52, 1972.
41. "Comparison of Network Theory Predictions with Stress-Time Data in Shear and Elongation for a Low-Density Polyethylene Melt," with J. Meissner. Rheol. Acta 12:41, 1973.

42.     "Exact Zimm Eigenvalues." University of Wisconsin-Madison, Rheology Research Center, RRC 19, 1973.
43.     "Elasticity in Incompressible Liquids." In Karl Weissenberg 80th Birthday Celebration Essays. Nairobi, East African Literature Bureau, 1973?
44. "The Stressmeter," with D. G. Baird. University of Wisconsin-Madison, Rheology Research Center, RRC 27, May 1974.
45.     Body Tensor Fields in Continuum Mechanics, with Applications to Polymer Rheology. Academic Press, 1974.
46. "Hole Pressure Error Measurements in Pressure-Generated Shear Flow," with Ko Higashitani. Trans. Soc. Rheo1. 19(2):307-35, 1975.
47. "Some Examples of the Use of Body Coordinate Systems in the Kinematics of Continuous Media," with K. Walters. Rheo1. Acta 14:573-80, 1975.
48. "Stress Relaxation after a Sudden Shear Strain." Rheol. Acta 14:664-65, 1975.
49.     "On the Gaussian Network Theory for Cross-Linked Elastomers: Isotropy and Stress-Free Shape Uniqueness Proofs for the Compressible Case." In Proc. 7th Int. Congr. Rheo1., p. 169, 1976.
50.     "A Nonlinear Singularly-Perturbed Volterra Integro-differential Equation Occurring in Polymer Rheology," with J. B. McLeod and J. H. Nohel.
Proc. Royal Soc. Edinburgh 80A:99-137, 1978.
51.     "On the Measurement of Normal Stress Differences in Steady Shear Flow, IV. A New Truncated-Cone and Plate ("TCP") Apparatus," with T. H. Hou. Rheo1. Acta 20:247-60, 1981.
52.     "Constitutive Equations from Gaussian Molecular Network Theories in Polymer Rheology," with R. C. Armstrong, M. H. Wagner, and H. H. Winter. Pure and App1. Chem. 54(7):1349-59, 1982.
53. "I. Basic Concepts in Polymer Rheology. II. Rheological Measurements and Their Application in Polymer Characterization." University of Wisconsin-Madison, Rheology Research Center, RRC 60, June 1980.
(Lectures given at the U.K. Chemical Society Residential School on "Rheology of Fluids," University College of Wales, Aberystwyth, September 15-19, 1980.)
54.     "Positive Hole Pressures and Negative Exit Pressures Generated by Molten Polyethylene Flowing through a Slit Die," with L. de Vargas. Rheo1. Acta 22:151, 1983.
55. "Exact Eigenvalue Spectra for Calculation of Dynamic Functions for Dilute Polymer Solutions Based on the Bead-Spring Model. I. Linear Homopolymers," with R. L. Sammler and J. L. Schrag. University of Wisconsin-Madison, Rheology Research Center, RRC 82, 1982.
56.     "Some Rheological Methods for Polymer Characterization." In Proc. IUPAC 28th Macromolecular Symposium, University of Massachusetts, Amherst, Massachusetts, 1982, p. 774.
57.     "Newtonian Liquid Hole Pressures at Small Reynolds Numbers." J. Rheo1. 27(5):497, 1983.
58.     "On the Determination of the First and Second Normal Stress Differences in the Truncated-Cone-and-Plate Apparatus, I. Measurements on a Polyisobutylene/Decalin Solution," with G. A. Alvarez and H.-J. Cantow. Polymer Bulletin 10:256, 1983.
59.     "Hole Pressures and Normal Stress Differences." Polymer News 9(8):242, 1984.
60. "A Classification of Constitutive Equations Based on Stress Relaxation Predictions for the Single-Jump Shear Strain Experiment." J. Non-Newtonian Fluid Mech. 14:67, 1984.
61.     "Low-Shear-Rate Rheometry and Polymer Quality Control." Chem. Eng. Commun. 32:1, 1985.
62. "A Rheodilatometer for Molten Polymers," with I. Bruker. J. Rheo1. 29(5):557, 1985.
63. "Inertial Contributions to the Pressure in the Truncated-Cone-and-Plate Apparatus with Application to Dilute Polymer Solutions," with G. A. Alvarez and H.-J. Cantow. Rheo1. Acta 24:377, 1985.
64. "Measurement of the First and Second Normal Stress Differences: Correlation of Four Experiments on a Polyisobutylene/Decalin Solution 'D1,"' with G. A. Alvarez and H.- J. Cantow, Rheol. Acta 24:368, 1985.
65.     "On the Use of Rubber as a Guide to Understanding the Viscoelastic Behavior of Polymeric Liquids." In Viscoelasticity and Rheology, ed. A. S. Lodge, M. Renardy, and T. H. Nohel, pp. 181-208. Academic Press, 1986.
66. Letter. Physics Today, May 1987, p. 145.
67.     "A New Method of Measuring Multigrade Oil Shear Elasticity and Viscosity at High Shear Rates." SAE Technical Paper Series, 872043. Warrendale, Pa., Society of Automotive Engineers, Inc., 1987.     (Presented at International Fuels and Lubricants Meeting and Exposition, Toronto, Ontario, Nov. 2-5, 1987.
68. "Measurement of the First Normal-Stress Difference at High Shear Rates for a Polyisobutylene/Decalin Solution 'D2,"' with T. S. R. Al-Hadithi and K. Walters. Rheo1. Acta 26:516-21, 1987.
69.     "Normal Stress Differences from Hole Pressure Measurements." In Rheological Measurement, ed. A. A. Collyer and D. W. Clegg, pp. 345-82. London, Elsevier Applied Science, 1988. 2nd edition, 1998.

70. "Constitutive Equation or Stress Calculator?" J. Rheo1. 32(1):93-95, 1988.
71.     "The Weissenberg Effect at Finite Rod-Rotation Speeds," with Jay D. Schieber and R. Byron Bird. J. Chem. Phys. 88(6):4001-7, 1988.
72. Reply to correspondence. Physics Today, April 1988, p. 125.
73.     "An Attempt to Measure the First Normal-Stress Difference N1 in Shear Flow for a Polyisobutylene/Decalin Solution 'D2b' at Shear Rates up to 106 s-1." J. Rheo1. 33(6):821-41, 1989.
74. "Elastic Recovery and Polymer-Polymer Interactions." Rheo1. Acta 28:351-62, 1989.
75.     "Slit Die Viscometry at Shear Rates up to 5 x 106 s-1:     an Analytical Correction for Small Viscous Heating Errors," with Y.-S. Ko, Rheol. Acta 28:464-72, 1989.
76. "Measurements of N1-N2 and n in Steady Shear Flow and G', G" and Birefringence in Small-Strain Oscillatory Shear for the Polyisobutylene Solution "M1," with M. L. Chirinos, P. Crain, J. L. Schrag, and J. Yaritz. J. Non-Newtonian Fluid Mech. 35:105-19, 1990.
77. "Viscous Heating Correction for Thermally Developing Flows in Slit Die Viscometry," with Y. S. Ko. Rheo1. Acta, 30, 357-368, 1991.
78.     "The Hole-Pressure Problem," with W. G. Pritchard and L. R. Scott. IMA Journal of Applied Mathematics, 46, 39-66, 1991.
79. An Introduction to Elastomer Molecular Network Theory, Bannatek Press, 1999. 160 pp.