Influence of void nucleation on ductile shear fracture at a free surface

Tvergaard, Viggo<sup>1</sup>

Affiliations

¹Department of Solid Mechanics, The Technical University of Denmark, Lyngby, Denmark

Abstract

An approximate continuum model of a ductile, porous material is used to study the influence of the nucleation and growth of micro-voids on the formation of shear bands and the occurrence of surface shear fracture in a solid subject to plane strain tension. Bifurcation into diffuse modes is analysed for a plane strain tensile specimen described by these constitutive relations, which account for a considerable plastic dilatancy due to void growth and for the possibility of non-normality of the plastic flow law. In particular, bifurcation into surface wave modes and the possible influence of such modes triggering shear bands is investigated. For solids with initial imperfactions such as a surface undulation, a local material inhomogeneity on an inclusion colony, the inception and growth of plastic flow localization is analysed numerically. Both the formation of void-sheets and the final growth of cracks in the shear bands is described numerically. Some special features of shear band development in the solid obeying non-normality are studied by a simple model problem.

Links

DOI: 10.1016/0022-5096(82)90025-4

WoS: A1982PU25500002

History

Received: 1982-03-22

Online: 2002-08-8

Cited Works (9)

Year	Entry
1981	Hutchinson JW, Tvergaard V. Shear band formation in plane strain. Int J Solids Struct. 1981;17(5):451-470.
1977	Gurson AL. Continuum theory of ductile rupture by void nucleation and growth, I: yield criteria and flow rules for porous ductile media. J Eng Mater Technol. 1977;99(1):2-15.
1981	Tvergaard V, Needleman A, Lo KK. Flow localization in the plane strain tensile test. J Mech Phys Solids. 1981;29(2):115-142.
1982	Triantafyllidis N, Needleman A, Tvergaard V. On the development of shear bands in pure bending. Int J Solids Struct. 1982;18(2):121-138.
1981	Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int J Fract. 1981;17(4):389-407.
1978	Needleman A, Rice JR. Limits to ductility set by plastic flow localization. In: Koistinen DP, Wang N-M, eds. Mechanics of Sheet Metal Forming: Material Behavior and Deformation Analysis. New York, NY: Plenum PRess; 1978:237-267.
1982	Tvergaard V. On localization in ductile materials containing spherical voids. Int J Fract. 1982;18(4):237-252.
1959	Puttick KE. Ductile fracture in metals. Philos Mag. 1959;4(44):964-969.
1980	Chu CC, Needleman A. Void nucleation effects in biaxially stretched sheets. J Eng Mater Technol. 1980;102(3):249-256.

Cited By (8)

Year	Entry
2015	Gatea S, Lu B, Ou H, McCartney G. Numerical simulation and experimental investigation of ductile fracture in SPIF using modified GTN model. In: 4th International Conference on New Forming Technology (ICNFT 2015); 2015. MATEC Web of Conferences; vol 21.
2017	Gatea S, Ou H, Lu B, McCartney G. Modelling of ductile fracture in single point incremental forming using a modified GTN model. Eng Fract Mech. December 2017;186:59-79.
2012	Soyarslan C, Malekipour Gharbi M, Tekkay AE. A combined experimental-numerical investigation of ductile fracture in bending of a class of ferritic-martensitic steel. Int J Solids Struct. June 15, 2012;49(13):1608-1626.
1984	Needleman A, Tvergaard V. An analysis of ductile rupture in notched bars. J Mech Phys Solids. 1984;32(6):461-490.
1987	Tvergaard V. Ductile shear fracture at the surface of a bent specimen. Mech Mater. 1987;6(1):53-69.
2001	Lievers WB. Effect of Void Damage and Shear Band Development on the Bendability of AA6111 Automotive Aluminum Alloy Sheet [Master's thesis]. Carleton University; May 9, 2001.
2007	Weck AG. The Role of Coalescence on Ductile Fracture [PhD thesis]. Hamilton, ON: McMaster University; March 2007.
2008	Hu C. Locally Enhanced Voronoi Cell Finite Element Model (LE-VCFEM) for Ductile Fracture in Heterogeneous Cast Aluminum [PhD thesis]. Columbus, OH: Ohio State University; 2008.