Abstract
In this paper, introducing a velocity potential, we reduce the fundamental equations of axisymmetric problems of ideal plasticity to two nonlinear partical differential equations. From these equations we discuss compatibility of Harr-Kármán hypothesis with von Mises yield criterion and the associated flow law.
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References
Symonds, P. S., On the general equations of problems of axial symmetry in the theory of plasticity, Quar. Appl. Math., 6, 4(1949), 448–452.
Lin Hong-shen, On the problem of axial-symmetric plastic deformation, Acta Physica Sinica, 10, 2(1954), 89–104. (in Chinese)
Aninn, B. D., J. Appl. Mech. Tech. Phys., 14, 2(1973), 171–172. (in Russian)
Haar, A., and Th. von Kármán, Zur Theorie der Spannungs-zustande in plastischen, Math. Phy. Klasse, (1909), 204–218.
Hill, R., The Mathematical Theory of Plasticity, Oxford Clarenden Press, (1950).
Shield, R. T., On the plastic flow of metals under conditions of axial symmetry, Proc. Roy. Roc., A233, (1955), 267–287.
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Communicated by Chien Wei-zang.
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Hui-shen, S. On the general equations of axisymmetric problems of ideal plasticity. Appl Math Mech 5, 1543–1548 (1984). https://doi.org/10.1007/BF01910445
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DOI: https://doi.org/10.1007/BF01910445