Application of variational principles to limit analysis

Mura, T.; Lee, S. L.

doi:10.1090/qam/157548

Authors: T. Mura and S. L. Lee
Journal: Quart. Appl. Math. 21 (1963), 243-248
DOI: https://doi.org/10.1090/qam/157548
MathSciNet review: 157548
Full-text PDF

References | Additional Information

[1] William Prager and Philip G. Hodge Jr., Theory of perfectly plastic solids, John Wiley & Sons, Inc., New York, N. Y.; Chapman & Hall, Ltd., London, 1951. MR 0051118
[2] P. S. Symonds and W. Prager, Elastic-plastic analysis of structures subjected to loads varying arbitrarily between prescribed limits, J. Appl. Mech. 17 (1950), 9. MR 0034222
[3] P. S. Symonds, Shakedown in continuous media, J. Appl. Mech. 18 (1951), 85–89. MR 0040958
[4] D. C. Drucker, H. J. Greenberg, and W. Prager, The safety factor of an elastic-plastic body in plane strain, J. Appl. Mech. 18 (1951), 371–378. MR 0051119
[5] P. S. Symonds and B. G. Neal, J. Franklin Inst. 252, 383 and 469 (1951)
[6] D. C. Drucker, W. Prager, and H. J. Greenberg, Extended limit design theorems for continuous media, Quart. Appl. Math. 9 (1952), 381–389. MR 0045573, https://doi.org/10.1090/S0033-569X-1952-45573-2
[7] M. A. Sadowsky, A principle of maximum plastic resistance, J. Appl. Mech. 10 (1943), A-65–A-68. MR 0008211
[8] W. Prager, J. Appl. Mech. 10, A65 (1943)
[9] G. H. Handelman, A variational principle for a state of combined plastic stress, Quart. Appl. Math. 1 (1944), 351–353. MR 0010118, https://doi.org/10.1090/S0033-569X-1944-10118-1
[10] A. A. Markov, Prik. Mat. Mekh. 11, 339 (1947)
[11] R. Hill, A variational principle of maximum plastic work in classical plasticity, Quart. J. Mech. Appl. Math. 1 (1948), 18–28. MR 0025384, https://doi.org/10.1093/qjmam/1.1.18
[12] H. J. Greenberg, Q. Appl. Math. 7, 85 (1949)
[13] D. C. Drucker, Proc. Symp. Appl. Math. 8, 7 (1958)
[14] R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391

Additional Information

DOI: https://doi.org/10.1090/qam/157548
Article copyright: © Copyright 1963 American Mathematical Society