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Research Papers

Determinist-Probabilistic Concept in Modeling Fatigue Damage Through a Micromechanical Approach

[+] Author and Article Information
A. Abdul-Latif1

L3M, IUT de Tremblay, 93290 Tremblay-en-France, Franceaabdul@iu2t.univ-paris8.fr

M. Chadli

L3M, IUT de Tremblay, 93290 Tremblay-en-France, France

1

Corresponding author.

J. Eng. Mater. Technol 132(1), 011002 (Nov 02, 2009) (10 pages) doi:10.1115/1.3184029 History: Received April 14, 2008; Revised February 13, 2009; Published November 02, 2009; Online November 02, 2009

Motivated by a micromechanical determinist-probabilistic model coupled with damage recently developed by the authors, a new generalization is proposed to describe the nonlinear elasto-inelastic cyclic strain-stress behavior of polycrystals notably under biaxial cyclic loading paths. In this context, this generalization considers a compressible and linear anisotropic granular elastic strain behavior coupled with damage. The model is expressed in the framework of the time dependent plasticity for a small strain assumption. It is assumed that a damage variable initiates at the mesoscopic (granular) level where the plastic strain localization phenomenon takes place. The associated thermodynamic force of the damage variable is determined using the concept of total granular energy (elastic and inelastic). The transition of the elastic strain from the single to the polycrystal is modified due to its explicit coupling with damage. Comparisons between predicted and experimental results are conducted describing the low-cycle fatigue behavior of the aluminum alloy 2024 under different complex cyclic loading paths. It is demonstrated that the model has a reasonable ability in describing the cyclic behavior of this alloy. Qualitatively, the model is tested under different cyclic loading paths with stress-controlled condition describing especially the ratcheting behavior of the alloy. In fact, the effects of the applied mean stress on the predicted overall elasto-inelastic behavior and on the fatigue life are carefully studied. It shows the dependence of the fatigue life on the mean stress value.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 4

Predicted evolution of the overall maximum axial stress and overall damage probability in TC with ΔE11=2% up to the final damaging of the polycrystal

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Figure 5

Predicted evolution of the strain up to final fracture of the polycrystal under zero mean stress

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Figure 6

Predicted distributions of the granular energies in the 400 grain aggregate under zero mean stress

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Figure 7

Schematic representation of the ratchet strain

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Figure 8

Effect of the mean stress on the ratcheting and fatigue life of the polycrystal

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Figure 1

Employed cyclic loading paths in (E11 and E12) plane

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Figure 2

Experimental evolution of the maximum von Mises equivalent stress up to the final fracture under various cyclic loading types

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Figure 3

Comparison between the model and the experimental results for aluminum alloy 2024 (stabilized cycle) under (a) tension-compression and (1b and 2b) tension-torsion with 90 deg out-of-phase

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