Extended limit design theorems for continuous media

Quarterly of Applied Mathematics - Tập 9 Số 4 - Trang 381-389 - 1952
D. C. Drucker1, William Prager1, Harvey J. Greenberg2
1Brown University AND
2Carnegie Institute of Technology†

Tóm tắt

Earlier results [1,2] 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.

Từ khóa


Tài liệu tham khảo

H. J. Greenberg and W. Prager, Limit design of beams and frames, Proc. Amer. Soc. Civil Engrs. 77, Separate No. 59, February 1951.

Drucker, D. C., 1951, The safety factor of an elastic-plastic body in plane strain, J. Appl. Mech., 18, 371, 10.1115/1.4010353

Prager, William, 1949, Recent developments in the mathematical theory of plasticity, J. Appl. Phys., 20, 235, 10.1063/1.1698348

Drucker, D. C., 1950, Some implications of work hardening and ideal plasticity, Quart. Appl. Math., 7, 411, 10.1090/qam/34210