The co-operative role of voids and shear bands in strain localization during bending

Lievers, W. B.; Pilkey, A. K.; Worswick, M. J.

Affiliations

¹Centre for Automotive Materials and Manufacturing, 945 Princess Street, Kingston, Ont., Canada K7L 5L9

²Department of Mechanical Engineering, Queen’s University, Nicol Hall, Union Street, Kingston, Ont., Canada K7L 3N6

³Department of Mechanical Engineering, University of Waterloo, Waterloo, Ont., Canada N2L 3G1

Abstract and keywords

The use of kinematic hardening is known to promote shear band formation as a result of increased yield surface curvature. Hence, the implementation of kinematic hardening in a Gurson-type model facilitates the combined effect of shear bands and voids on strain localization behaviour. An alternative formulation of the kinematic hardening Gurson–Tvergaard–Needleman (GTN) constitutive softening equations is presented herein. The resulting equations are implemented as a user material subroutine (umat) in the commercial finite element code LS-DYNA and the implementation is verified against published results. A numerical study is used to establish the role of various GTN parameters in the development of macroscopic shear localization during bending.

Keywords: Kinematic hardening; Gurson; Shear bands; Localization; Void damage; FEM

Links

DOI: 10.1016/S0167-6636(02)00275-2

WoS: 000182006600005

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