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TECHNICAL PAPERS

Geometry Method for Localization Analysis in Gradient-Dependent J2 Plasticity

[+] Author and Article Information
G. Etse

Centro de Métodos Numéricos y Computacionales en Ingeniería, University of Tucuman, Muñecas 730, 10A, 4000 Tucumán, Argentinagetse@herrera.unt.edu.ar

S. M. Vrech

Centro de Métodos Numéricos y Computacionales en Ingeniería, University of Tucuman, Muñecas 730, 10A, 4000 Tucumán, Argentina

J. Appl. Mech 73(6), 1026-1030 (Apr 06, 2006) (5 pages) doi:10.1115/1.2202348 History: Received September 21, 2005; Revised April 06, 2006

In this work the geometrical method for the assessment of discontinuous bifurcation conditions is extended to encompass gradient-dependent plasticity. To this end, the gradient-dependent localization condition is cast in the form of an elliptical envelope condition in the coordinates of Mohr. The results in this work demonstrate the capability of thermodynamically consistent gradient-dependent elastoplastic model formulations to suppress the localized failure modes of the classical plasticity that take place when the hardening/softening modulus H¯ equals the critical value for localization H¯c, provided the characteristic length l remains positive.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Localization in local and gradient von Mises yield criterion in the principal stress space

Grahic Jump Location
Figure 2

Geometric and localization analysis at peak of the simple shear test. Local and gradient-dependent plasticity. J2 material model.

Grahic Jump Location
Figure 3

Geometric localization analysis at peak of the uniaxial compression test. Local and gradient-dependent plasticity. J2 material model.

Grahic Jump Location
Figure 4

Geometric localization analysis at peak of the uniaxial tensile test. Local and gradient-dependent plasticity. J2 material model.

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