0
TECHNICAL PAPERS

On Bridgman’s Stress Solution for a Tensile Neck Applied to Axisymmetrical Blunt Notched Tension Bars

[+] Author and Article Information
A. Valiente

Departamento de Ciencia de Materiales, Universidad Politécnica de Madrid, E.T.S. Ingenieros de Caminos, Ciudad Universitaria s/n, 28040 Madrid, Spain

J. Appl. Mech 68(3), 412-419 (Nov 29, 2000) (8 pages) doi:10.1115/1.1360689 History: Received October 15, 1998; Revised November 29, 2000
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.

References

Bridgman,  P. W., 1944, “The Stress Distribution at the Neck of a Tension Specimen,” Trans. ASME, 32, pp. 553–574.
Bridgman, P. W., 1964, Studies in Large Plastic Flow and Fracture, Harvard University Press, Cambridge, MA.
Davidenkov,  N. N., and Spiridonova,  N. I., 1946, “Analysis of Tensile Stress in the Neck of an Elongated Test Specimen,” Proc. A. S. T. M. 46, pp. 1147–1158.
Kaplan,  A. M., 1973, “The Stress and Deformation in Mild Steel During Axisymmetric Necking,” ASME J. Appl. Mech., 40, pp. 271–276.
Jones,  S. E., Gillis,  P. P., and Shalaby,  A. H., 1979, “Stress Distributions in the Vicinity of a Neck,” J. Appl. Phys., 50, No. 5, pp. 3168–3173.
Eisenberg,  M. A., and Yen,  C. F., 1983, “An Anisotropic Generalization of the Bridgman Analysis of Tensile Necking,” J. Eng. Mater. Technol., 105, pp. 264–267.
Hancock,  J. W., and Mackenzie,  A. C., 1976, “On the Mechanisms of Ductile Fracture in High Strength Steels Subjected to Multiaxial Stress States,” J. Mech. Phys. Solids, 24, pp. 147–169.
Mackenzie,  A. C., Hancock,  J. W., and Brown,  D. K., 1977, “On the Influence of State of Stress on Ductile Failure Initiation in High Strength Steels,” Eng. Fract. Mech., 9, pp. 167–188.
Ritchie,  R. O., Server,  W. L., and Wullaert,  R. A., 1979, “Critical Fracture Stress and Fracture Strain Models for the Prediction of Lower and Upper Shelf Toughness in Nuclear Pressure Vessels Steels,” Met. Trans., 10A, pp. 1557–1570.
Chaouadi,  R., De Meester,  P., and Vandermeulen,  W., 1994, “Damage Work as Ductile Fracture Criterion,” Int. J. Fract., 66, pp. 155–164.
Amar,  E., and Pineau,  A., 1985, “An Interpretation of Ductile Fracture Toughness Temperature Dependence of a Low Strength Steel in Terms of a Local Approach,” Eng. Fract. Mech., 22, pp. 1061–1071.
Fontaine, A., and Jeunehomme, S., 1989, “Numerical Study and Local Approach of Fracture in a Perlitic Steel,” Advances in Fracture Research (ICF7), Pergamon Press, Oxford, UK, pp. 3865–3871.
Moran,  B., and Norris,  M. D., 1978, “Computer Simulation of the Round Notched Tension Test of Cox and Low,” Met. Trans., 9A, pp. 1685–1687.
Hancock,  J. W., and Brown,  D. K., 1983, “On the Role of Strain and Stress State in Ductile Failure,” J. Mech. Phys. Solids, 31, pp. 1–24.
Valiente,  A., and Lapeña,  J., 1996, “Measurement of the Yield and Tensile Strength of Neutron Irradiated and Post-Irradiation Recovered Vessel Steels With Notched Specimens,” Nucl. Eng. Des., 167, pp. 11–22.

Figures

Grahic Jump Location
Axisymmetrical motion of a continuous medium: material line coplanar with the axis
Grahic Jump Location
Deformed and undeformed notch profiles
Grahic Jump Location
Notch profile and finite element mesh used for the numerical solution
Grahic Jump Location
Displacements of the r-axis nodes at different levels of the maximum load Pm. (ER: elastic regime; CY: contained yielding; GY: general yielding; PI: plastic instability)
Grahic Jump Location
Deformed notch profiles at different load levels (Pm is the maximum load)
Grahic Jump Location
Notch root radius as a function of deformation
Grahic Jump Location
Tensile load as a function of deformation
Grahic Jump Location
Vectors concerning the motion of a material line

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In