Elastic-plasitc torsion of a square bar
HTML articles powered by AMS MathViewer
- by Tsuan Wu Ting
- Trans. Amer. Math. Soc. 123 (1966), 369-401
- DOI: https://doi.org/10.1090/S0002-9947-1966-0195316-5
- PDF | Request permission
References
- 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 W. Prager and H. G. Hodge, Jr., Perfectly plastic solids, Wiley, New York, 1951; Chapter 3.
- Tracy Y. Thomas, Plastic flow and fracture in solids, Mathematics in Science and Engineering, Vol. 2, Academic Press, New York-London, 1961. MR 0127630
- Tsuan Wu Ting, The ridge of a Jordan domain and completely plastic torsion, J. Math. Mech. 15 (1966), 15–47. MR 0184503
- G. Pólya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics, Annals of Mathematics Studies, No. 27, Princeton University Press, Princeton, N. J., 1951. MR 0043486, DOI 10.1515/9781400882663
- P. R. Garabedian, Partial differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0162045 O. D. Kellogg, Foundation of potential theory, Ungar, New York, 1929; pp. 347-348,
- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
- L. V. Toralballa, Theory of functions: A unified presentation, Charles E. Merrill Books, Inc., Columbus, Ohio, 1963. MR 0155958
- P. R. Garabedian and D. C. Spencer, Extremal methods in cavitational flow, J. Rational Mech. Anal. 1 (1952), 359–409. MR 48983, DOI 10.1512/iumj.1952.1.51010
- P. R. Garabedian, H. Lewy, and M. Schiffer, Axially symmetric cavitational flow, Ann. of Math. (2) 56 (1952), 560–602. MR 53684, DOI 10.2307/1969661
- Hans Lewy, On the reflection laws of second order differential equations in two independent variables, Bull. Amer. Math. Soc. 65 (1959), 37–58. MR 104048, DOI 10.1090/S0002-9904-1959-10270-6 N. I. Muskhelishivili, Singular integral equations, Noordhoff, Groningen, 1953; pp. 37-45.
- F. G. Tricomi, Integral equations, Pure and Applied Mathematics, Vol. V, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1957. MR 0094665 E. Hopf, Elementare Bemerkungen über die Lösungen partieller Differentialgleichungen zweiter Ordnung von elliptischen Typus, S.-B. Preuss. Akad Wiss. 19 (1927), 147-152.
- Eberhard Hopf, A remark on linear elliptic differential equations of second order, Proc. Amer. Math. Soc. 3 (1952), 791–793. MR 50126, DOI 10.1090/S0002-9939-1952-0050126-X
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 123 (1966), 369-401
- MSC: Primary 73.49
- DOI: https://doi.org/10.1090/S0002-9947-1966-0195316-5
- MathSciNet review: 0195316