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Online ISSN 1552-4485; Print ISSN 0033-569X
Variational principles of equilibrium of an elasto-plastic body
Author:
Y. Yamamoto
Journal:
Quart. Appl. Math. 10 (1952), 215-224
MSC:
Primary 73.2X
DOI:
https://doi.org/10.1090/qam/50480
MathSciNet review:
50480
Full-text PDF Free Access
References | Similar Articles | Additional Information
- P. Hodge and W. Prager, A variational principle for plastic materials with strain-hardening, J. Math. Physics 27 (1948), 1–10. MR 0025914
- H. J. Greenberg, Complementary minimum principles for an elastic-plastic material, Quart. Appl. math. 7 (1949), 85–95. MR 0029678, DOI https://doi.org/10.1090/S0033-569X-1949-29678-9
- W. Prager, Fundamental theorems of a new mathematical theory of plasticity, Duke Math. J. 9 (1942), 228–233. MR 6914
- Rodney Hill, A comparative study of some variational principles in the theory of plasticity, J. Appl. Mech. 17 (1950), 64–66. MR 0034218
- A. H. Philippidis, The general proof of the principle of maximum plastic resistance, J. Appl. Mech. 15 (1948), 241–242. MR 0026555
- Aris Phillips, Variational principles in the theory of finite plastic deformations, Quart. Appl. Math. 7 (1949), 110–114. MR 32364, DOI https://doi.org/10.1090/S0033-569X-1949-32364-7
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- Yoshiyuki Yamamoto, A general theory on the plastic behavior of metals, Proceedings of the First Japan National Congress for Applied Mechanics, 1951, Science Council of Japan, Tokyo, 1952, pp. 93–96. MR 0073423
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Article copyright:
© Copyright 1952
American Mathematical Society