Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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On the plane problem of a perfect plastic body


Author: Hilda Geiringer
Journal: Quart. Appl. Math. 9 (1951), 295-308
MSC: Primary 73.2X
DOI: https://doi.org/10.1090/qam/43702
MathSciNet review: 43702
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  • [1] H. Geiringer, (a) Linear differential equations of the plane stress problem of a perfect plastic body, (b) Parabola-yield condition for the perfect plastic body, (c) Simple wave solutions for the plane stress problem of the perfect plastic body, Bull. Amer. Math. Soc., 56, 38-39 (1950).
  • [2] P. G. Hodge Jr., An introduction to the mathematical theory of perfectly plastic solids, Rep. A 11-52, Graduate Division of Applied Mathematics, Brown University, Providence, R. I., 1950. MR 0038833
  • [3] W. Jenne, Räumliche Spannungsverteilungen in festen Körpern bei plastischer Deformation, Z. angew, Math. Mech. 8, 1-27 (1928).
  • [4] R. v. Mises, Three remarks on the theory of the ideal plastic body, Reissner Anniversary Volume, Contributions to Applied Mechanics, J. W. Edwards, Ann Arbor, Michigan, 1948, pp. 415–429. MR 0029679
  • [5] William Prager, Recent developments in the mathematical theory of plasticity, J. Appl. Phys. 20 (1949), 235–241. MR 0028760
  • [6] W. Sokolovsky, Plastic plane stressed states according to Mises, C. R. (Doklady) Acad. Sci. URSS (N. S.) 51 (1946), 175–178. MR 0017138

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DOI: https://doi.org/10.1090/qam/43702
Article copyright: © Copyright 1951 American Mathematical Society


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