AN EXACT ELASTO PLASTIC SOLUTION FOR A CLOSED-END THICK-WALLED CYLINDER OF ELASTIC LINEAR-HARDENING MATERIAL WITH LARGE STRAINS

被引：25

作者：

GAO, XL

机构：

[1] Department of Mechanical Engineering, University of Alberta, Edmonton

来源：

INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING | 1993年 / 56卷 / 03期

关键词：

18;

D O I：

10.1016/0308-0161(93)90004-D

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An exact elasto-plastic analytical solution for a large-strained internal-pressurized thick-walled cylinder made of elastic linear-hardening material is derived in this paper. This solution is based on the notion of finite strains, the deformation theory of Hencky and the yield criterion of von Mises. Being applicable for both the linear-elastic response and the plastic strain-hardening stages of a large-strained closed-end thick-walled cylinder, the present solution can uniformly represent the whole expanding process of the cylinder from its initial yield at the inner surface to its full yield over the wall up to its ultimate bursting with an increase of its operating pressure. It is shown that this exact solution is of general characteristics, from which three specific solutions of practical interest can be obtained. The calculation formulae for the full-yield pressure and the bursting pressure of the large-strained cylinder deduced in this paper are of value for the strength design of a strain-hardening material cylinder. The present exact solution together with the deduced formulae furnish a new analytical pattern for the elasto-plastic analysis and strength design of a large-strained, internal-pressurized, closed-end, thick-walled cylinder made of strain-hardening material.

引用

页码：331 / 350

页数：20

共 18 条

[1]

Crossland, Jorgensen, Bones, The strength of thick-walled cylinders, Trans. ASME, J. Engng Ind., 81, 2, pp. 95-114, (1959)

[2]

Zhong, Chen, Wang, The busting tests of superhigh reaction tubes containing polyethylene, Chinese J. Pres. Ves. Technol., 8, 2, pp. 40-43, (1991)

[3]

Chu, A more rational approach to the problem of an elastoplastic thickwalled cylinder, J. Franklin Inst., 294, 1, pp. 57-65, (1972)

[4]

Gao, Wei, An elasto-plastic analytical solution for a closed-end thick-walled cylinder of a strain-hardening material, Petrochem. Equip., 20, 6, pp. 37-40, (1991)

[5]

Huang, The strength of very thick cylinders, Proceedings of the 5th Int. Conf. on Pressure Vessel Technology, 1, pp. 167-177, (1984)

[6]

MacGregor, Et al., The plastic flow of thick-walled tubes with large strains, J. Appl. Phys., 19, 3, pp. 291-297, (1948)

[7]

Svensson, The bursting pressure of cylindrical and spherical vessels, Trans. ASME, J. Appl. Mech., 25, 1, pp. 89-96, (1958)

[8]

Perrone, Strain-Hardening Solutions to Axisymmetric Disks and Tubes, Journal of Applied Mechanics, 27, 1, pp. 45-53, (1960)

[9]

Slevinsky, Haddow, Finite elastic-plastic expansion of a cylindrical tube, Trans. CSME, 2, 4, pp. 216-222, (1973)

[10]

Hamada, Et al., An estimation of maximum pressure for a thick-walled tube subjected to internal pressure, Int. J. Pres. Ves. & Piping, 22, pp. 311-323, (1986)

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