Paper 12: Formulation and Evaluation of Approximate Analogies for Transient Temperature Dependent Linear Visco-Elastic Media

Hilton H. H. Hassan H. A. Russell H. G. ‘Analytical studies of thermal stresses in media possessing temperature dependent visco-elastic properties‘, W.A.D.C. TR 53–322, 1953.

Hilton H. H. Russell H. G. ‘An extension of Alfrey's analogy to thermal stress problems in temperature dependent linear visco-elastic media‘, J. Mech. Phys. of Solids 1961 9, 152.

Hilton H. H. ‘An introduction to visco-elastic analysis‘, Univ. of Illinois Aeronaut. Astronaut. Engng Dept. TR AAE 62–1, 1962; also Chapter 4 in Engineering design of plastics 1964, 199 (Rheinhold Publ. Corp., New York).

Hilton H. H. ‘Thermal stresses in thick walled cylinders exhibiting temperature dependent visco-elastic properties of the Kelvin type‘, Proc. Second U.S. Nat. Congr. Appl. Mech. 1954 547.

Lee E. H. Rogers T. G. ‘Non-linear effects of temperature variation in stress analysis of isothermally linear visco-elastic materials‘, Brown Univ., Div. Appl. Math. TR 3, Nonr-562(30), 1962.

Morland L. W. Lee E. H. ‘Stress analysis for linear visco-elastic materials with temperature variation‘, Trans. Soc. Rheology 1960 4, 233.

Muki R. Sternberg E. ‘On transient thermal stresses in visco-elastic materials with temperature dependent properties‘, J. appl. Mech. 1961 28, 193.

Hunter S. C. ‘Tentative equations for the propagation of stress, strain, and temperature fields in visco-elastic solids‘, J. Mech. Phys. of Solids 1961 9, 39.

Rogers T. G. Lee E. H. ‘Thermo-viscoelastic stresses in a sphere with an ablating cavity‘, Brown Univ., Div. Appl. Math. TR 6, Nord-18594, 1962.

Taylor R. L. ‘Problems in thermo-viscoelasticity‘, Univ. of California TR Series 199, Issue No. 1, 1963.

Schapery R. A. ‘Approximate methods of transform inversion for visco-elastic stress analysis‘, Proc. Fourth U.S. Nat. Congr. of Appl. Mech. 1962 2, 1075.

Lianis G. Valanis K. C. ‘The linearization of the problem of transient thermo-viscoelastic stresses‘, Purdue Univ. School of Aeronaut. and Engng Sciences TR A & ES 62–2, 1962.

Alfrey T. Mechanical behavior of high polymers 1948 (Interscience Publishers, New York).

Tobolsky A. V. Properties and structure of polymers 1960 (John Wiley and Sons, Inc., New York).

Hilton H. H. Majerus J. N. Tamekuni M. ‘Analytical formulation of generalized characterization for linear visco-elastic materials from uni- and multi-axial creep and relaxation data‘, Aerojet-General Corp. TM 227 SRP, 1963.

Dillon O. W. ‘Transient stresses in non-homogeneous visco-elastic (Maxwell) media‘, J. Aero. Sci. 1962 29, 284.

Hilton H. H. Piechocki J. J. ‘Shear center motion in beams with temperature dependent linear elastic or visco-elastic properties‘, Proc. Fourth U.S. Nat. Congr. Appl. Mech. 1962 2, 1279.

Zener C. M. Elasticity and anelasticity of metals 1948 (University of Chicago Press, Chicago).

Hilton H. H. Dong S. B. ‘An analogy for anisotropic, non-homogeneous, linear visco-elasticity including thermal stresses‘, to be published in Proc. Eighth Midwestern Mech. Conf., 1964.