On optimal temperature paths for thermorheologically simple viscoelastic materials
Authors:
Morton E. Gurtin and Lea F. Murphy
Journal:
Quart. Appl. Math. 38 (1980), 179-189
MSC:
Primary 73U05; Secondary 73F15
DOI:
https://doi.org/10.1090/qam/580878
MathSciNet review:
580878
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Y. Weitsman and D. Ford, On the optimization of cool-down temperatures in viscoelastic resins, Proc. Soc. Engineering Science, 1977.
S. Breuer, Minimizing the strain-rate history and the resulting greatest lower bound on work in linear viscoelasticity, Z. Angew. Math. Mech. 49, 209–213 (1969)
- Morton E. Gurtin, Richard C. MacCamy, and Lea F. Murphy, On optimal strain paths in linear viscoelasticity, Quart. Appl. Math. 37 (1979/80), no. 2, 151–156. MR 542987, DOI https://doi.org/10.1090/S0033-569X-1979-0542987-6
M. E. Gurtin and L. F. Murphy, Optimal strain paths in linear viscoelasticity: the effect of the past history, in Proc. IUTAM Symp. Variational Methods in the Mechanics of Solids, Evanston, Illinois, September, 1978
- Rokur\B{o} Muki and Eli Sternberg, On transient thermal stresses in viscoelastic materials with temperature-dependent properties, Trans. ASME Ser. E. J. Appl. Mech. 28 (1961), 193–207. MR 127035
Y. Weitsman and D. Ford, On the optimization of cool-down temperatures in viscoelastic resins, Proc. Soc. Engineering Science, 1977.
S. Breuer, Minimizing the strain-rate history and the resulting greatest lower bound on work in linear viscoelasticity, Z. Angew. Math. Mech. 49, 209–213 (1969)
M. E. Gurtin, R. C. MacCamy and L. F. Murphy, On optimal strain paths in linear viscoelasticity, Quart. Appl. Math. 37, 151–156 (1979)
M. E. Gurtin and L. F. Murphy, Optimal strain paths in linear viscoelasticity: the effect of the past history, in Proc. IUTAM Symp. Variational Methods in the Mechanics of Solids, Evanston, Illinois, September, 1978
R. Muki and E. Sternberg, On transient thermal stresses in viscoelastic materials with temperature-dependent properties, J. Appl. Mech. ASME 83, 193–207 (1961)
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Article copyright:
© Copyright 1980
American Mathematical Society