Abstract
An extended version of the well-known Gurson-Tvergaard-Needleman (GTN) isotropic hardening model is presented in this paper. The yield function of the proposed constitutive model possesses the distinctiveness to explicitly depend upon the third stress invariant. The presented constitutive model is used to analyze the necking of a round tensile bar. As long as softening initiation of specimen is not reached, the obtained numerical results highlight similarities and good agreement with those provided by the use of the GTN model. However, discrepancy shows up as soon as specimen failure starts.
Highlights
A GTN-like Model for Plastic Porous MaterialsAbstract— An extended version of the well-known GursonTvergaard-Needleman (GTN) isotropic hardening model is presented in this paper
Regarding the mechanical behavior of porous plastic materials, the first micromechanical model which introduces a strong coupling between deformation and damage is the Gurson-Tvergaard-Needleman (GTN) model [1, 2]
For each of the considered three void arrangements, namely Simple Cubic (SC), Body-Centered Cubic (BCC) and Face-Centered Cubic (FCC) arrays, many thousand yield points were determined by monotonically increasing the arbitrarily-prescribed macroscopic strain
Summary
Abstract— An extended version of the well-known GursonTvergaard-Needleman (GTN) isotropic hardening model is presented in this paper. The yield function of the proposed constitutive model possesses the distinctiveness to explicitly depend upon the third stress invariant. The presented constitutive model is used to analyze the necking of a round tensile bar. As long as softening initiation of specimen is not reached, the obtained numerical results highlight similarities and good agreement with those provided by the use of the GTN model. Discrepancy shows up as soon as specimen failure starts
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