Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

  • [1] W. Prager, The general theory of limit design, Proc. 8th Internatl. Congr. Appl. Mech. (Instanbul, 1952) 2, 65-72 (1956)
  • [2] S. P. Timoshenko, Theory of plates and shells, McGraw-Hill Book Co., Inc., New York, 1940
  • [3] E. T. Onat and W. Prager, Limit analysis of arches, J. Mech. Phys. Solids 1, 77-89 (1953) MR 0052967
  • [4] P. G. Hodge, Jr., Plastic analysis of structure, McGraw-Hill Book Co., Inc., New York, 1959 MR 0113399
  • [5] D. C. Drucker, Limit analysis of cylindrical shells under axially-symmetric loading, Proc. 1st Midw. Conf. Solid Mech. (Urbana, 1953), 158-163, 1954
  • [6] E. T. Onat, Plastic collapse of cylindrical shells under axially symmetric loading, Quart. Appl. Math. 13, 63-72 (1955) MR 0069016
  • [7] P. G. Hodge, Jr., The rigid-plastic analysis of symmetrically loaded cylindrical shells, J. Appl. Mech. 21, 336-342 (1954) MR 0069015
  • [8] E. T. Onat and W. Prager, Limit analysis of shells of revolution, Proc. Roy. Netherlands Acad. Sci. B57, 539-548 (1954)
  • [9] A. Sawczuk and P. G. Hodge, Jr., Comparison of yield conditions for circular cylindrical shells, J. Franklin Inst. 269, 362-374 (1960) MR 0112404
  • [10] P. G. Hodge, Jr., Plastic analusis of rotationally symmetric shells, (Sec. 9), DOMIIT Rept. 1-6, Illinois Institute of Technology, 1959

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 73.00

Retrieve articles in all journals with MSC: 73.00

Additional Information

DOI: https://doi.org/10.1090/qam/118098
Article copyright: © Copyright 1961 American Mathematical Society

American Mathematical Society