Extended limit design theorems for continuous media
Authors:
D. C. Drucker, W. Prager and H. J. Greenberg
Journal:
Quart. Appl. Math. 9 (1952), 381-389
MSC:
Primary 73.2X
DOI:
https://doi.org/10.1090/qam/45573
MathSciNet review:
45573
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: Earlier results [1,2]$^{2}$ on safe loads for a Prandtl-Reuss material subject to surface tractions or displacements which increase in ratio are here extended to any perfectly plastic material and any history of loading.
H. J. Greenberg and W. Prager, Limit design of beams and frames, Proc. Amer. Soc. Civil Engrs. 77, Separate No. 59, February 1951.
- 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
- William Prager, Recent developments in the mathematical theory of plasticity, J. Appl. Phys. 20 (1949), 235–241. MR 28760
- 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
H. J. Greenberg and W. Prager, Limit design of beams and frames, Proc. Amer. Soc. Civil Engrs. 77, Separate No. 59, February 1951.
D. C. Drucker, H. J. Greenberg and W. Prager, The safety factor of an elastic-plastic body in plane strain, to appear in J. Appl. Mech.
W. Prager, Recent developments in the mathematical theory of plasticity, J. Appl. Phys. 20, 235-241 (1949).
D. C. Drucker, Some implications of work-hardening and ideal plasticity, Q. Appl. Math. 7, 411-418 (1950).
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
73.2X
Retrieve articles in all journals
with MSC:
73.2X
Additional Information
Article copyright:
© Copyright 1952
American Mathematical Society
