Browse > Article
http://dx.doi.org/10.5228/KSTP.2012.21.5.285

Localized Necking in a Round Tensile Bar for a HCP Material Considering Tension-compression Asymmetry in Plastic Flow  

Yoon, J.H. (한국기계연구원 부설 재료연구소)
Lee, J.H. (한국기계연구원 부설 재료연구소)
Publication Information
Transactions of Materials Processing / v.21, no.5, 2012 , pp. 285-290 More about this Journal
Abstract
In spite of progress in predicting ductile failure, the development of a macroscopic yield criterion to describe damage evolution in HCP (hexagonal close-packed) materials remains a challenge. HCP materials display strength differential effects (i.e., different behavior in tension versus compression) in their plastic response due to twinning. Cazacu and Stewart(2009) developed an analytical yield criterion for porous material containing randomly distributed spherical voids in an isotropic, incompressible matrix that shows tension-compression asymmetry. The goal of the calculations in this paper is to investigate the effect of the tension-compression asymmetry on necking induced by void nucleation, evolution and consolidation. In order to investigate the effect of the tension-compression asymmetry of the matrix on necking and fracture initiation, three isotropic materials A, B, and C were examined with different ratios of tension-compression asymmetry. The various types of material had BCC, FCC, and HCP crystal structures, respectively. The ratio between tension and compression in plastic flow significantly influences the fracture shape produced by damage propagation as well as affecting the localized neck.
Keywords
Tension-compression Asymmetry; Void growth; Void Volume Fraction; Round Tensile Bar; Necking;
Citations & Related Records
연도 인용수 순위
  • Reference
1 O. Cazacu, J. Stewart, 2009, Analytic Plastic Potential for Porous Aggregates with Matrix Exhibiting Tension-compression Asymmetry, J. Mech. Phys. Solids, Vol. 57, No. 2, pp. 325-41.   DOI
2 O. Cazacu, B. Plunkett, F. Barlat, 2006, Orthotropic Yield Criterion for Hexagonal Closed Packed Metals, Int. J. Plast., Vol. 22, No. 7, pp. 1171-94.   DOI   ScienceOn
3 R. Hill, 1967, The Essential Structure of Constitutive Laws for Metal Composites and Polycrystals, J. Mech. Phys. Solids, Vol. 15, No. 2, pp. 79-95.   DOI
4 J. Mandel, 1972, Plasticite Classique et Viscoplasticite, CISM Courses and Lectures, Vol. 97, International Center for Mechanical Sciences, Springer-Verlag, Wien-New York.
5 A. L. Gurson, 1977, Continuum Theory of Ductile Rupture by Void Nucleation and Growth - Part I. Yield Criteria and Flow Rules for Porous Ductile Media, J. Engrg. Mat. Tech., Vol. 99, pp. 2-15.   DOI
6 V. Tvergaard, 1981, Influence of Voids on Shear Band Instabilities under Plane Strain Conditions, Int. J. Fracture, Vol. 17, No. 4, pp. 389-407.   DOI   ScienceOn
7 V. Tvergaard, A. Needleman, 1984, Analysis of the Cup-cone Fracture in a Round Tensile Bar, Acta Metall., Vol. 32, No. 1, pp. 157-69.   DOI
8 K. C. Liao, 2004, Yield Criteria for Porous Ductile Sheet Metals with Planar Anisotropy under Plane Stress Conditions, Comput. Struct., Vol. 82, No. 29-30, pp. 2573-2583.   DOI
9 M. Gologanu, J. B. Leblond, G. Perrin, J. Devaux, 1997, Recent Extensions of Gurson's Model for Porous Ductile Metals, Continuum Micromechanics, P. Suquet, ed., Springer-Verlag, New-York, Chapter 2, pp. 61-130.
10 C. C. Chu, A. Needleman, 1980, Void Nucleation Effects in Biaxially Stretched Sheets, J. Eng. Mater-T ASME, Vol. 102, No. 3, pp. 249-56.   DOI