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

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

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

Computers, Materials & Continua 2007, 6(1), 21-34.


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.


Cite This Article

L. . Dieng, A. . Abdul-Latif, M. . Haboussi and C. . Cunat, "Cyclic softening modeling with the distribution of non linear relaxation (dnlr) approach," Computers, Materials & Continua, vol. 6, no.1, pp. 21–34, 2007.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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