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Online ISSN 1552-4485; Print ISSN 0033-569X
Some remarks on path independence in the small in plasticity
Author:
J. W. Dougill
Journal:
Quart. Appl. Math. 33 (1975), 233-243
DOI:
https://doi.org/10.1090/qam/99663
MathSciNet review:
QAM99663
Full-text PDF Free Access
References | Additional Information
- 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
- D. C. Drucker, A definition of stable inelastic material, J. Appl. Mech. 26 (1959), 101–106. MR 0104383
- P. M. Naghdi and S. A. Murch, On the mechanical behavior of viscoelastic/plastic solids, Trans. ASME Ser. E. J. Appl. Mech. 30 (1963), 321–328. MR 154482 D. C. Drucker, On the continuum as an assemblage of homogeneous elements or states, in IUTAM symposium on irreversible aspects of continuum mechanics (H. Parkus and L. I. Sedov, eds.), Springer-Verlag, 1968, pp. 77–92.
- D. C. Drucker, Stress-strain-time relations and irreversible thermodynamics, Second-order Effects in Elasticity, Plasticity and Fluid Dynamics (Internat. Sympos., Haifa, 1962) Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1964, pp. 331–351. MR 0163523
- William Prager, Recent developments in the mathematical theory of plasticity, J. Appl. Phys. 20 (1949), 235–241. MR 28760
- A. A. Il′jušin, On the postulate of plasticity, J. Appl. Math. Mech. 25 (1961), 746–752. MR 0138266, DOI https://doi.org/10.1016/0021-8928%2861%2990044-2
- William Prager, The theory of plasticity: A survey of recent achievements, Proc. Inst. Mech. Engrs. 169 (1955), 41–57. MR 74260 A. C. Palmer, G. Maier and D. C. Drucker, Normality relations and convexity of yield surfaces for unstable materials or structural elements, J. Appl. Mech 34 (Trans. ASME 89, series E), 464–470 (1967)
Additional Information
Article copyright:
© Copyright 1975
American Mathematical Society