The cylinder problem in viscoelastic stress analysis
Authors:
T. G. Rogers and E. H. Lee
Journal:
Quart. Appl. Math. 22 (1964), 117-131
MSC:
Primary 73.45
DOI:
https://doi.org/10.1090/qam/167050
MathSciNet review:
167050
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: A short review is presented of the cylinder problem as a vehicle for developments in the theory of linear viscoelastic stress analysis. This is followed by the solution of the problem of a compressible, hollow circular viscoelastic cylinder encased in and bonded to an elastic cylindrical shell. The analysis includes the effects of arbitrarily varying angular velocity and internal pressure, and the inner surface may ablate at an arbitrary rate. Material properties are incorporated in the form of numerical values of the relaxation modulus in shear, and the bulk modulus. Results are presented and comparison made with previous solutions which deal with more restricted situations.
- E. H. Lee, Stress analysis in visco-elastic bodies, Quart. Appl. Math. 13 (1955), 183–190. MR 69741, DOI https://doi.org/10.1090/S0033-569X-1955-69741-6
- E. H. Lee, J. R. M. Radok, and W. B. Woodward, Stress analysis for linear viscoelastic materials, Trans. Soc. Rheol. 3 (1959), 41–59. MR 129636, DOI https://doi.org/10.1122/1.548842
E. H. Lee and J. R. M. Radok, Proc. Ninth Int. Congs. Appl. Mech. 5 (1957) 321–329
A. H. Corneliussen and E. H. Lee, Proc. IUTAM Colloq. on Creep in Structures, Springer-Verlag, 1962, pp. 1–20
A. H. Corneliussen, E. F. Kamowitz, E. H. Lee and J. R. M. Radok, Trans. Soc. Rheol. 7 (1963)
M. Shinozuka, A. S. M. E. Paper No. 63-APMW-2, 1963
- E. H. Lee and T. G. Rogers, Solution of viscoelastic stress analysis problems using measured creep or relaxation functions, Trans. ASME Ser. E. J. Appl. Mech. 30 (1963), 127–133. MR 149754
- L. W. Morland and E. H. Lee, Stress analysis for linear viscoelastic materials with temperature variation, Trans. Soc. Rheol. 4 (1960), 233–263. MR 127027, DOI https://doi.org/10.1122/1.548856
I. L. Hopkins and R. W. Hamming, J. Appl. Phys. 28 (1957) 906–909
J. Bischoff, E. Catsiff and A. V. Tobolsky, J. Am. Chem. Soc. 74 (1952) 3378–3381
E. H. Lee, Quart. Appl. Math. 13 (1955) 183–190
E. H. Lee, J. R. M. Radok and W. B. Woodward, Trans. Soc. Rheol. 3 (1959) 41–59
E. H. Lee and J. R. M. Radok, Proc. Ninth Int. Congs. Appl. Mech. 5 (1957) 321–329
A. H. Corneliussen and E. H. Lee, Proc. IUTAM Colloq. on Creep in Structures, Springer-Verlag, 1962, pp. 1–20
A. H. Corneliussen, E. F. Kamowitz, E. H. Lee and J. R. M. Radok, Trans. Soc. Rheol. 7 (1963)
M. Shinozuka, A. S. M. E. Paper No. 63-APMW-2, 1963
E. H. Lee and T. G. Rogers, J. Appl. Mech. 30 (1963) 127–133
L. W. Morland and E. H. Lee, Trans. Soc. Rheol. 4 (1960) 233–263
I. L. Hopkins and R. W. Hamming, J. Appl. Phys. 28 (1957) 906–909
J. Bischoff, E. Catsiff and A. V. Tobolsky, J. Am. Chem. Soc. 74 (1952) 3378–3381
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
73.45
Retrieve articles in all journals
with MSC:
73.45
Additional Information
Article copyright:
© Copyright 1964
American Mathematical Society
