DOI: 10.1002/nme.1620060108. Stresses in a partly yielded notched bar—An assessment of three alternative programs

Stresses in a partly yielded notched bar—An assessment of three alternative programs

10.1002/nme.1620060108

Crossref journal-article

Wiley

International Journal for Numerical Methods in Engineering (311)

Abstract

AbstractThe results of three finite element stress analysis programs are compared for the problem of the elasto–plastic bending of a notched beam under plane strain conditions. Both Tresca and von Mises yield criteria are considered and the numerical results are compared with an available analytical solution based on slip‐line field theory. The general conclusion is drawn that finite element methods can be used with confidence in elasto–plastic stress analysis.

Bibliography

Owen, D. R. J., Nayak, G. C., Kfouri, A. P., & Griffiths, J. R. (1973). Stresses in a partly yielded notched barâAn assessment of three alternative programs. International Journal for Numerical Methods in Engineering, 6(1), 63â73. Portico.

Authors 4

D. R. J. Owen (first)
G. C. Nayak (additional)
A. P. Kfouri (additional)
J. R. Griffiths (additional)

References 15 Referenced 29

10.1016/0022-5096(71)90009-3
10.1088/0034-4885/12/1/309
{'key': 'e_1_2_1_4_2', 'first-page': '104', 'article-title': 'Some effects of hydrostatic tension on the fracture behaviour of mild steel', 'volume': '204', 'author': 'Knott J. F.', 'year': '1966', 'journal-title': 'J. Iron Steel Inst.'} / J. Iron Steel Inst. / Some effects of hydrostatic tension on the fracture behaviour of mild steel by Knott J. F. (1966)
{'key': 'e_1_2_1_5_2', 'first-page': '930', 'article-title': 'Effect of hydrostatic stress on cleavage fracture in a mild steel and a low‐carbon manganese steel', 'volume': '206', 'author': 'Oates G.', 'year': '1968', 'journal-title': 'J. Iron Steel Inst.'} / J. Iron Steel Inst. / Effect of hydrostatic stress on cleavage fracture in a mild steel and a low‐carbon manganese steel by Oates G. (1968)
{'key': 'e_1_2_1_6_2', 'first-page': '353', 'article-title': 'Effect of temperature and strain rate on cleavage fracture in a mild steel and a low‐carbon manganese steel', 'volume': '207', 'author': 'Oates G.', 'year': '1969', 'journal-title': 'J. Iron Steel Inst.'} / J. Iron Steel Inst. / Effect of temperature and strain rate on cleavage fracture in a mild steel and a low‐carbon manganese steel by Oates G. (1969)
10.1016/0013-7944(68)90025-8
J. R.GriffithsandG.Oates ‘An experimental study of the critical tensile stress criterion for cleavage fracture in 3% silicon iron’ Proc. 2nd Int. Conf. Fracture Chapman London 1969.
D. J. F.EwingandJ. R.Griffiths ‘The applicability of slipline field theory for contained elastic–plastic flow around a notch’ J. Mech. Phys. Solids (in press) CERL Lab. Report No. RD/L/N 40/71.
10.1002/nme.1620050111
10.1002/nme.1620010107
A. P.Kfouri Ph.D. Thesis Engineering Department University of Cambridge 1970.
{'key': 'e_1_2_1_13_2', 'volume-title': 'The Mathematical Theory of Plasticity', 'author': 'Hill R.', 'year': '1950'} / The Mathematical Theory of Plasticity by Hill R. (1950)
{'key': 'e_1_2_1_14_2', 'volume-title': 'Theory of Perfectly‐Plastic Solids', 'author': 'Prager W.', 'year': '1951'} / Theory of Perfectly‐Plastic Solids by Prager W. (1951)
O. C.ZienkiewiczandG. C.Nayak ‘A general approach to problems of plasticity and large deformations using isoparametric elements’ 3rd Conf. Matrix Meth. Struct. Mech. Wright‐Patterson Air Force Base Ohio 1971.
G. C.Nayak Ph.D. Thesis University of Wales Swansea 1971.

Dates

Type	When
Created	20 years ago (Aug. 8, 2005, 12:53 p.m.)
Deposited	1 year, 9 months ago (Nov. 12, 2023, 7 a.m.)
Indexed	2 months, 1 week ago (June 25, 2025, 7:48 p.m.)
Issued	52 years, 8 months ago (Jan. 1, 1973)
Published	52 years, 8 months ago (Jan. 1, 1973)
Published Online	20 years, 2 months ago (June 20, 2005)
Published Print	52 years, 8 months ago (Jan. 1, 1973)

Funders 0

None

BibTeX

@article{Owen_1973, title={Stresses in a partly yielded notched bar—An assessment of three alternative programs}, volume={6}, ISSN={1097-0207}, url={http://dx.doi.org/10.1002/nme.1620060108}, DOI={10.1002/nme.1620060108}, number={1}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Owen, D. R. J. and Nayak, G. C. and Kfouri, A. P. and Griffiths, J. R.}, year={1973}, month=jan, pages={63–73} }

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