轴对称塑性问题摄动解Ⅰ——圆杆颈缩

沈惠申

轴对称塑性问题摄动解Ⅰ——圆杆颈缩

沈惠申

上海交通大学

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出版历程
- 收稿日期: 1984-03-03
- 刊出日期: 1985-04-15

Perturbation Solution of Axisymmetric Plastic Problem Ⅰ——Necking of a Bar

Shen Hui-shen

Shanghai Jiaotong University, Shanghai

摘要

摘要: 本文从文[11]中导得的轴对称塑性问题的一般方程出发,运用摄动技术,对圆杆颈缩问题进行渐近分析.所得的结果将使我们对拉伸试件的颈缩现象有进一步的认识,并使我们能更好地解释拉伸试件形成杯—锥状断口的原因.

Abstract: In this paper, basing on the general equations of agisymmetric plastic problems deduced in ref. [11], and employing perturbation technique, the asymptotic analysis for the necking problem is given, The result will provide knowledge of distribution of stress and strain in the whole plastic region, thus, it will lead to a better understanding of the necking phenomena in a tension specimen, such as cup-and-cone fracture.

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参考文献(13)

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[2]	Давиденкое Н.Н.и Н.И.Спириднонова,Анализ напряженного соотояния в шейке растянутого образпа,Забоск.Лабор.,11,6 (1945),English Translation; Mechanical methods of testing analysis of the state of stress in the neck of a tension test specimen,Proc, ASTM, 46 (1946),1147-1158.
[3]	Parker, E, R,H, E, Davis and A, E, Flanigan,A study of the tension test, Proc,ASTM, 48 (1946),1159-1174.
[4]	Yamashita, N,The stress and strain distribution at the neck of a tensile specimen,Bulletin JSME, 9 (1966), 637-643.
[5]	Kaplan, M, A,The stress and deformation in mild steel during aaisymmetric necking,J.Appl, Mech.,40 (1973), 271-276.
[6]	陈蓖.单轴拉伸试样颈部的应力分析,《金属断裂研究文集》,冶金工业出版社(1978), 169-189.
[7]	Chen, W, H,Necking of a bar, Int, J, Solids Structures,7(1971), 685-717.
[8]	Needleman, A,A numerical study of necking in circular cylindrical bars, J.Mech.Phtys, Solids, 20 (1972), 111-127.
[9]	Norris, D, M, Jr,B, Moran,J,K.Scudder and D, F, Quinones, A computer simulation of the tension test, J.Mech, Phys, Solids, 26 (1978),1-19.
[10]	Saje, M,Necking of a cylindrical bar in tension, Int, J.Solids Structures, 15 (1979),731-742.
[11]	沈惠申.理想塑性轴对称问题的一般方程,应用数学和力学,5, 4 (1984),577-582.
[12]	Chen Li-guo, Necking in uniazial tension, Int, J.Mech, Sci.,25 (1983), 47-57.
[13]	嵇醒、殷家驹、汤泉,颈缩的有限元分析,固体力学学报,4 (1983), 532-542.