Based on a well established nonincremental interaction law for fully anisotropic elastic-inelastic behavior of polycrystals, tangent formulation-based and simplified interaction laws of softened nature are derived to describe the nonlinear elastic-inelastic behavior of fcc polycrystals. Using the Eshelby’s tensor, the developed approach considers that the inclusion (grain) form is ellipsoidal. It has been clearly demonstrated by Abdul-Latif et al. (2002, “Elastic-Inelastic Self-Consistent Model for Polycrystals,” ASME J. Appl. Mech., 69, pp. 309–316) for spherical inclusion that the tangent formulation-based model requires more calculation time, and is incapable to describe correctly the multiaxial elastic-inelastic behavior of polycrystals in comparison with the simplified model. Hence, the simplified nonincremental interaction is studied considering the grain shape effect. A parametric study is conducted showing principally the influence of the some important parameters (the grain shape and the new viscous parameter ) and the effect of their interaction on the hardening evolution of polycrystals. Quantitatively, it is recognized that the model describes suitably the grain shape effect together with the new viscous parameter on the strain-stress behavior of aluminum and Waspaloy under tensile test.
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January 2010
Research Papers
Modeling of the Grain Shape Effect on the Elastic-Inelastic Behavior of Polycrystals With Self-Consistent Scheme
A. Abdul-Latif,
A. Abdul-Latif
Laboratoire de Mécanique, Matériaux et Modélisation (L3M),
Université Paris 8
, 93290 Tremblay-en-France, France
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M. Radi
M. Radi
Laboratoire de Mécanique, Matériaux et Modélisation (L3M),
Université Paris 8
, 93290 Tremblay-en-France, France
Search for other works by this author on:
A. Abdul-Latif
Laboratoire de Mécanique, Matériaux et Modélisation (L3M),
Université Paris 8
, 93290 Tremblay-en-France, France
M. Radi
Laboratoire de Mécanique, Matériaux et Modélisation (L3M),
Université Paris 8
, 93290 Tremblay-en-France, FranceJ. Eng. Mater. Technol. Jan 2010, 132(1): 011008 (12 pages)
Published Online: November 3, 2009
Article history
Received:
January 7, 2009
Revised:
March 28, 2009
Online:
November 3, 2009
Published:
November 3, 2009
Citation
Abdul-Latif, A., and Radi, M. (November 3, 2009). "Modeling of the Grain Shape Effect on the Elastic-Inelastic Behavior of Polycrystals With Self-Consistent Scheme." ASME. J. Eng. Mater. Technol. January 2010; 132(1): 011008. https://doi.org/10.1115/1.3184036
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