Necking bifurcations during high strain rate extension

Journal of the Mechanics and Physics of Solids

Volumn 47, Issue 11, 1999, Pages 2209-2233

  Shenoy, V B ^a   Freund, L B ^a  

^a Brown University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BIFURCATION (MATHEMATICS); DUCTILITY; PLASTIC DEFORMATION; STRAIN RATE;

NECKING PATTERNS;

STRAIN HARDENING;

EID: 0343026607     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(99)00031-9     Document Type: Article

References (16)

1. Altynova M., Hu X., Daehn G.S. Increased ductility in high velocity electromagnetic ring expansion. Metallurgical and Materials Transactions. 27A:1996;1837-1844.
2. Fressengeas C., Molinari A. Fragmentation of rapidly stretching sheets. European Journal of Mechanics A/Solids. 13:1994;251-268.
3. Freund L.B., Sørensen N.J. Bifurcation and neck formation as a precursor to ductile fracture during high-rate planar extension. Karihaloo B., Mai Y., Ripley M., Ritchie R.O. Advances in Fracture Research. 1997;2685-2696 Pergamon Press, New ork.
4. Fyfe I.M., Rajendran A.M. Dynamic pre-strain and inertia effects on the fracture of metals. Journal of the Mechanics and Physics of Solids. 28:1980;17-26.
5. Grady D.E., Benson D.A. Fragmentation of metal rings by electromagnetic loading. Experimental Mechanics. 12:1983;393-400.
6. Han J-B., Tvergaard V. Effect of inertia on the necking behaviour of ring specimens under rapid radial expansion. European Journal of Mechanics A/Solids. 14:1995;287-307.
7. Hill R. Bifurcation and uniqueness in non-linear mechanics of continua. Problems of Continuum Mechanics. 1961;155-164 SIAM, Philadelphia. N. I. Muskhelishvili Volume.
8. Hill R., Hutchinson J.W. Bifurcation phenomena in the plane tension test. Journal of the Mechanics and Physics of Solids. 23:1975;239-264.
9. Hollomon J.H. Tensile deformation. Transactions of the American Institute of Mining and Metallurgical Engineers. 162:1945;268-290.
10. Hutchinson J.W., Neale K.W. Influence of strain-rate sensitivity on necking under uniaxial tension. Acta Metallurgica. 25:1977;839-846.
11. Hutchinson J.W., Tvergaard V. Surface instabilities on statically strained plastic solids. International Journal of Mechanical Sciences. 22:1980;339-354.
12. Niordson F.I. A unit for testing materials at high strain rates. Experimental Mechanics. 5:1965;29-32.
13. Rice J.R. The localization of plastic deformation. Koiter W.T. Theoretical and Applied Mechanics. 1976;207-220 North-Holland Publishing Company, Amsterdam.
14. Sewell M.J. A survey of plastic buckling. Leipholz H.H.E. Stability. 1972;85-197 University of Waterloo, Canada.
15. Sørensen, N.J., Freund, L.B., 1998. Unstable neck formation in a ductile ring subjected to impulsive radial loading. To appear in International Journal of Solids and Structures.
16. Stören S., Rice J.R. Localized necking in thin sheets. Journal of the Mechanics and Physics of Solids. 23:1975;421-441.