Open Access

ARTICLE

Cyclic Softening Modeling with the Distribution of Non Linear Relaxation (Dnlr) Approach

L. Dieng¹, A. Abdul-Latif², M. Haboussi, C. Cunat³

1 LCPC, Nantes, France.
2 IUT de Tremblay, France.
3 LEMTA, Nancy University, CNRS, France.

Computers, Materials & Continua 2007, 6(1), 21-34. https://doi.org/10.3970/cmc.2007.006.021

Abstract

Being of particular interest in this work, a complicated phenomenon related to cyclic softening of metallic polycrystals is modeled. As in the Waspaloy, this phenomenon can take place when a non-proportional tension-torsion cyclic loading of 90° out-of-phase is followed, after cyclic steady state, by a uniaxial one (tension-compression) with the same maximum equivalent plastic strain. By using the DNLR (Distribution of Non Linear Relaxation) model recently proposed by the authors describing the cyclic plasticity of metals, a new extension is here developed. It is recognized that such an extension can satisfactorily reproduce this softening phenomenon. It is noteworthy that this model describes such a phenomenon with a minimum number of material parameters in comparison with other phenomenological models. After calibration of the model parameters for the Waspaloy, the constitutive equations of the model are then implemented in a commercial finite element code to simulate the model response vis-à-vis a given structure made from the Waspaloy. Finally, it is found that the new extension as well as the finite element predictions give a fairly well accordance with the available experimental results.

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Keywords

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