Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 
 

 

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.


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

  • [1] W. Prager, Theory of plastic flow versus theory of plastic deformation, J. Appl. Phys. 19, 540-543 (1948) MR 0025906
  • [2] W. Prager, A new method of analyzing stresses and strains in work-hardening plastic solids, Brown University Report A11-123, 1955 MR 0083280
  • [3] H. G. Hopkins and W. Prager, The load-carrying capacities of circular plates, J. Mech. Phys. Solids 2, 1-13 (1953) MR 0057735
  • [4] 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) MR 0066912

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DOI: https://doi.org/10.1090/qam/85785
Article copyright: © Copyright 1956 American Mathematical Society

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