The bending of a work-hardening circular plate by a uniform transverse load
Author:
William E. Boyce
Journal:
Quart. Appl. Math. 14 (1956), 277-288
MSC:
Primary 73.2X
DOI:
https://doi.org/10.1090/qam/85785
MathSciNet review:
85785
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Abstract: This paper contains an analysis of the bending moments and deflection of a work-hardening circular plate under the action of a uniformly distributed transverse load. A segment-wise linear yield condition and the associated flow rules are used in order to avoid the unsound features of total stress-strain laws while retaining much of their mathematical simplicity.
- W. Prager, Theory of plastic flow versus theory of plastic deformation, J. Appl. Phys. 19 (1948), 540–543. MR 25906
- William Prager, A new method of analyzing stresses and strains in work-hardening plastic solids, J. Appl. Mech. 23 (1956), 493–496. MR 0083280
- H. G. Hopkins and W. Prager, The load carrying capacities of circular plates, J. Mech. Phys. Solids 2 (1953), 1–13. MR 57735, DOI https://doi.org/10.1016/0022-5096%2853%2990022-2
- H. G. Hopkins and A. J. Wang, Load-carrying capacities for circular plates of perfectly-plastic material with arbitrary yield condition, J. Mech. Phys. Solids 3 (1955), 117–129. MR 66912, DOI https://doi.org/10.1016/0022-5096%2855%2990055-7
W. Prager, Theory of plastic flow versus theory of plastic deformation, J. Appl. Phys. 19, 540–543 (1948)
W. Prager, A new method of analyzing stresses and strains in work-hardening plastic solids, Brown University Report A11-123, 1955
H. G. Hopkins and W. Prager, The load-carrying capacities of circular plates, J. Mech. Phys. Solids 2, 1–13 (1953)
H. G. Hopkins and A. G. Wang, Load-carrying capacities for circular plates of perfectly-plastic material with arbitrary yield condition, J. Mech. Phys. Solids 3, 117–129 (1954)
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Article copyright:
© Copyright 1956
American Mathematical Society
