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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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).
- P. G. Hodge Jr., An introduction to the mathematical theory of perfectly plastic solids, Graduate Division of Applied Mathematics, Brown University, Providence, R. I., 1950. Rep. A 11-52,. MR 0038833
W. Jenne, Räumliche Spannungsverteilungen in festen Körpern bei plastischer Deformation, Z. angew, Math. Mech. 8, 1-27 (1928).
- 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
- William Prager, Recent developments in the mathematical theory of plasticity, J. Appl. Phys. 20 (1949), 235–241. MR 28760
- W. Sokolovsky, Plastic plane stressed states according to Mises, C. R. (Doklady) Acad. Sci. URSS (N. S.) 51 (1946), 175–178. MR 0017138
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).
P. G. Hodge, Jr., An introduction to the mathematical theory of perfectly plastic solids, Graduate Division of Applied Mathematics, Brown University, Providence, R. I., (1950).
W. Jenne, Räumliche Spannungsverteilungen in festen Körpern bei plastischer Deformation, Z. angew, Math. Mech. 8, 1-27 (1928).
R. v. Mises, (a) Three remarks on the theory of the ideal plastic body, Reissner Anniversary Volume, J. W. Edwards 1949, 415-429. (b) Mechanik der plastischen Formänderung von Kristallen, Z. angew. Math. Mech. 8, 161-185 (1928).
W. Prager, Recent developments in the mathematical theory of plasticity, J. Appl. Phys. 20, 235-241 (1949).
W. W. Sokolovsky, (a) Plastic plane stressed state according to Mises, Doklady, 51, 175-178 (1946). (b) Plastic plane stressed state according to Saint Venant, Doklady, 51, 421-424 (1946). (c) The theory of plasticity, an outline of work done in Russia, J. Appl. Mech. 13, A1-A10 (1946).
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Article copyright:
© Copyright 1951
American Mathematical Society
