The Mises yield condition for rotationally symmetric shells
Author:
P. G. Hodge Jr.
Journal:
Quart. Appl. Math. 18 (1961), 305-311
MSC:
Primary 73.00
DOI:
https://doi.org/10.1090/qam/118098
MathSciNet review:
118098
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Abstract: The stress state in a rotationally symmetric shell under small displacements is characterized by the direct stresses and moments in the circumferential and longitudinal directions. If the shell material is perfectly plastic, it is desirable to express the material yield condition in terms of these stress resultants. Previous investigations have obtained this yield condition in certain special cases and for the maximum shear stress criterion in the general case.
W. Prager, The general theory of limit design, Proc. 8th Internatl. Congr. Appl. Mech. (Instanbul, 1952) 2, 65-72 (1956)
S. P. Timoshenko, Theory of plates and shells, McGraw-Hill Book Co., Inc., New York, 1940
- E. T. Onat and W. Prager, Limit analysis of arches, J. Mech. Phys. Solids 1 (1953), 77–89. MR 52967, DOI https://doi.org/10.1016/0022-5096%2853%2990012-X
- Philip G. Hodge Jr., Plastic analysis of structures, McGraw-Hill Series in Engineering Sciences, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1959. MR 0113399
D. C. Drucker, Limit analysis of cylindrical shells under axially-symmetric loading, Proc. 1st Midw. Conf. Solid Mech. (Urbana, 1953), 158-163, 1954
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- P. G. Hodge Jr., Rigid-plastic analysis of symmetrically loaded cylindrical shells, J. Appl. Mech. 21 (1954), 336–342. MR 0069015
E. T. Onat and W. Prager, Limit analysis of shells of revolution, Proc. Roy. Netherlands Acad. Sci. B57, 539-548 (1954)
- Antoni Sawczuk and Philip G. Hodge Jr., Comparison of yield conditions for circular cylindrical shells, J. Franklin Inst. 269 (1960), 362–374. MR 112404, DOI https://doi.org/10.1016/0016-0032%2860%2990172-1
P. G. Hodge, Jr., Plastic analusis of rotationally symmetric shells, (Sec. 9), DOMIIT Rept. 1-6, Illinois Institute of Technology, 1959
W. Prager, The general theory of limit design, Proc. 8th Internatl. Congr. Appl. Mech. (Instanbul, 1952) 2, 65-72 (1956)
S. P. Timoshenko, Theory of plates and shells, McGraw-Hill Book Co., Inc., New York, 1940
E. T. Onat and W. Prager, Limit analysis of arches, J. Mech. Phys. Solids 1, 77-89 (1953)
P. G. Hodge, Jr., Plastic analysis of structure, McGraw-Hill Book Co., Inc., New York, 1959
D. C. Drucker, Limit analysis of cylindrical shells under axially-symmetric loading, Proc. 1st Midw. Conf. Solid Mech. (Urbana, 1953), 158-163, 1954
E. T. Onat, Plastic collapse of cylindrical shells under axially symmetric loading, Quart. Appl. Math. 13, 63-72 (1955)
P. G. Hodge, Jr., The rigid-plastic analysis of symmetrically loaded cylindrical shells, J. Appl. Mech. 21, 336-342 (1954)
E. T. Onat and W. Prager, Limit analysis of shells of revolution, Proc. Roy. Netherlands Acad. Sci. B57, 539-548 (1954)
A. Sawczuk and P. G. Hodge, Jr., Comparison of yield conditions for circular cylindrical shells, J. Franklin Inst. 269, 362-374 (1960)
P. G. Hodge, Jr., Plastic analusis of rotationally symmetric shells, (Sec. 9), DOMIIT Rept. 1-6, Illinois Institute of Technology, 1959
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Article copyright:
© Copyright 1961
American Mathematical Society
