A modification of Prager’s hardening rule
Author:
Hans Ziegler
Journal:
Quart. Appl. Math. 17 (1959), 55-65
MSC:
Primary 73.00
DOI:
https://doi.org/10.1090/qam/104405
MathSciNet review:
104405
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References |
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Additional Information
- Hans Ziegler, An attempt to generalize Onsager’s principle, and its significance for rheological problems, Z. Angew. Math. Phys. 9b (1958), 748–763. MR 94943, DOI https://doi.org/10.1007/BF02424793
R. v. Mises, Mechanik der festen Körper im plastisch deformablen Zustand, Goettinger Nachrichten, Math. phys. Klasse 1913, 582 (1913)
H. Tresca, Mémoire sur l’écoulement des corps solides, Mém. prés. par div. savants 18, 733 (1868)
- D. C. Drucker, Some implications of work hardening and ideal plasticity, Quart. Appl. Math. 7 (1950), 411–418. MR 34210, DOI https://doi.org/10.1090/S0033-569X-1950-34210-6
R. v. Mises, Mechanik der plastischen Formänderung von Kristallen, Z. angew. Math. Mech. 8, 161 (1928)
- R. Hill, The Mathematical Theory of Plasticity, Oxford, at the Clarendon Press, 1950. MR 0037721
P. G. Hodge, Jr. The theory of piecewise linear isotropic plasticity, IUTAM Colloquium Madrid 1955, “Deformation and Flow of Solids,” Berlin, 1956
- William Prager, The theory of plasticity: A survey of recent achievements, Proc. Inst. Mech. Engrs. 169 (1955), 41–57. MR 74260
N. Perrone and P. G. Hodge Jr., Applications of a consistent theory for strain hardening plastic solids, PIBAL Report 403, Sept. 1957, Polytechnic Institute of Brooklyn, Brooklyn, N. Y.
R. T. Shield and H. Ziegler, On Prager’s hardening rule, ZAMP 9a, (1958)
- William Prager, Probleme der Plastizitätstheorie, Birkhäuser Verlag, Basel und Stuttgart, 1955 (German). MR 0076573
H. Ziegler, An attempt to generalize Onsager’s principle, and its significance for rheological problems, ZAMP 9b, 748 (1958)
R. v. Mises, Mechanik der festen Körper im plastisch deformablen Zustand, Goettinger Nachrichten, Math. phys. Klasse 1913, 582 (1913)
H. Tresca, Mémoire sur l’écoulement des corps solides, Mém. prés. par div. savants 18, 733 (1868)
D. C. Drucker, Some implications of work hardening and ideal plasticity, Quart.Appl. Math. 7, 411 (1950)
R. v. Mises, Mechanik der plastischen Formänderung von Kristallen, Z. angew. Math. Mech. 8, 161 (1928)
R. Hill, The mathematical theory of plasticity, Oxford, 1950
P. G. Hodge, Jr. The theory of piecewise linear isotropic plasticity, IUTAM Colloquium Madrid 1955, “Deformation and Flow of Solids,” Berlin, 1956
W. Prager, The theory of plasticity: a survey of recent achievements, Proc. Inst. Mech. Engrs. 169, 41 (1955)
N. Perrone and P. G. Hodge Jr., Applications of a consistent theory for strain hardening plastic solids, PIBAL Report 403, Sept. 1957, Polytechnic Institute of Brooklyn, Brooklyn, N. Y.
R. T. Shield and H. Ziegler, On Prager’s hardening rule, ZAMP 9a, (1958)
W. Prager, Probleme der Plastizitätstheorie, Basel, 1955
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Article copyright:
© Copyright 1959
American Mathematical Society
