On the General Equations of Axisymmetric Problems of Ideal Plasticity

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Shen Hui-shen. On the General Equations of Axisymmetric Problems of Ideal Plasticity[J]. Applied Mathematics and Mechanics, 1984, 5(4): 577-582.

Citation:

Shen Hui-shen. On the General Equations of Axisymmetric Problems of Ideal Plasticity[J]. Applied Mathematics and Mechanics, 1984, 5(4): 577-582.

Citation:

Shen Hui-shen. On the General Equations of Axisymmetric Problems of Ideal Plasticity[J]. Applied Mathematics and Mechanics, 1984, 5(4): 577-582.

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. Front these equations we discuss compatibility of Harr-Kármán hypothesis with von Mises yield criterion and the associated flow law.

[1]	Symonds, P. S., On the general equations of problems of axial symmetry in the theorg of plasticity, Quar. Appl. Math., 6, 4(1949), 448-452.
[2]	林鸿荪,轴对称塑性变形问题(英译名:On the problem of axial-symmetric plastic deformation),物理学报.10.2(1954).89-104.
[3]	Аннин В.Д.,Одно оочнее решеие осесимметричной зддачи идеалвной пластичности,Журнал Прuклабноu механuкu u Технuческоu Фuзuкu,14,2(1973),171-172.
[4]	Haar, A., and Th. von Kármán, Zur Theorie der Spannungs-zustande in plastischen, Math. Phy. Klasse,(1909), 204-218.
[5]	Hill, R., The Mathematical Theory of Plasticity, Oxford Clarenden Press,(1950).
[6]	Shield, R. T., On the plastic flow of metals under conditions of axial symmetry, Proc. Roy. Rec., A233,(1955), 267-287.