Effects of nonlocal damage in porous plastic solids

Tvergaard, Viggo<sup>1</sup>; Needleman, Alan<sup>2</sup>

Affiliations

¹Department of Solid Mechanics, Technical University of Denmark, DK-2800 Lyngby, Denmark

²Division of Engineering, Brown University, Providence, RI 02912, U.S.A.

Abstract

A nonlocal constitutive formulation for a porous ductile material is investigated, in which delocalizadon relates to the damage mechanism. An elastic-viscoplastic material model is used, with delocalization incorporated in terms of an integral condition on the rate of increase of the void volume fraction. Two model problems are analysed to study the effect of including this material length, one relates to localization of plastic flow in shear bands, while the other considers a metal matrix composite. Both model problems involve final failure in strongly nonhomogeneous strain fields, and it is shown that the inherent mesh sensitivity of the numerical failure predictions can be removed by using the nonlocal material model considered here.

Links

DOI: 10.1016/0020-7683(94)00185-Y

WoS: A1995QP26800003

History

Received: 1994-05-26

Revised: 1994-07-23

Cited Works (7)

Year	Entry
1981	Tvergaard V, Needleman A, Lo KK. Flow localization in the plane strain tensile test. J Mech Phys Solids. 1981;29(2):115-142.
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. Influence of voids on shear band instabilities under plane strain conditions. Int J Fract. 1981;17(4):389-407.
1982	Tvergaard V. On localization in ductile materials containing spherical voids. Int J Fract. 1982;18(4):237-252.
1984	Tvergaard V, Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metall. 1984;32(1):157-169.
1975	Gurson AL. Plastic Flow and Fracture Behavior of Ductile Materials Incorporating Void Nucleation, Growth, and Interaction [PhD thesis]. Providence, RI: Brown University; June 1975.
1980	Chu CC, Needleman A. Void nucleation effects in biaxially stretched sheets. J Eng Mater Technol. 1980;102(3):249-256.

Cited By (10)

Year	Entry
2013	Chen Z, Butcher C. Micromechanics Modelling of Ductile Fracture. Dordrecht, Netherlands: Springer; 2013. Solid Mechanics and Its Applications; vol 195.
2006	Butcher C, Chen Z, Worswick M. A lower bound damage-based finite element simulation of stretch flange forming of Al–Mg alloys. Int J Fract. December 2006;142(3-4):289-298.
1997	Tvergaard V, Needleman A. Nonlocal effects on localization in a void-sheet. Int J Solids Struct. 1997;34(18):2221-2238.
1999	van Hoof J. Modelling of Impact Induced Delamination in Composite Materials [PhD thesis]. Carleton University; October 19, 1999.
2001	Thomson CIA. Modeling the Effects of Particle Clustering on Ductile Failure [PhD thesis]. Carleton University; May 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.
2011	Butcher C. A Multi-Scale Damage Percolation Model of Ductile Fracture [PhD thesis]. Fredricton, NB: The University of New Brunswick; August 2011.
2004	Chen Z. The Role of Heterogeneous Particle Distribution in the Prediction of Ductile Fracture [PhD thesis]. University of Waterloo; 2004.
2006	Orlov OS. A Three-Dimensional Damage Percolation Model [PhD thesis]. Waterloo, ON: University of Waterloo; 2006.