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Research Papers

Micromechanical Modeling of the Ratcheting Behavior of 304 Stainless Steel

[+] Author and Article Information
I. Ben Naceur

UGPMM,
Ecole Nationale d'Ingénieurs de Sfax,
Sfax BP 1173, Tunisia

K. Saï

UGPMM,
Ecole Nationale d'Ingénieurs de Sfax,
Sfax BP 1173, Tunisia
e-mail: kacemsai@yahoo.fr

T. Hassan

Department of Civil, Construction
and Environmental Engineering,
North Carolina State University,
Raleigh, NC 27695-7908

G. Cailletaud

Centre des Matériaux,
MINES ParisTech,
PSL Research University,
CNRS UMR/7633,
Evry BP 87 91003, France

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received December 16, 2014; final manuscript received December 2, 2015; published online January 22, 2016. Assoc. Editor: Said Ahzi.

J. Eng. Mater. Technol 138(2), 021005 (Jan 22, 2016) (8 pages) Paper No: MATS-14-1245; doi: 10.1115/1.4032154 History: Received December 16, 2014; Revised December 02, 2015

Numerical simulations of 304 austenitic stainless steel (SS304) cyclic and ratcheting responses are performed using polycrystalline plasticity models. On the basis of the polycrystalline model of Cailletaud and Pilvin (1994, “Utilisation de modèles polycristallins pour le calcul par éléments finis,” Rev. Eur. Élém. Finis, 3, pp. 515–541), a modification of the β rule that operates the transition between the macroscopic level and the grain level is proposed. The improvement of the transition rule is obtained by introducing a “memory variable” at the grain level, so that a better description of the local stress–strain behavior is provided. This new feature is calibrated by means of previous simulations using finite element (FE) aggregate models. The results of the updated polycrystalline plasticity model are in good agreement with the macroscopic responses.

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Figures

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Fig. 5

Experimental axial strain ratcheting rates of 304SS and corresponding simulations from updated and original β-model

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Fig. 4

Experimental uniaxial ratcheting responses of 304SS and corresponding simulations from updated and original β–model: (a) experiment, (b) experiment, (c) updated β–model, (d) updated β–model, (e) original β–model, and (f) original β–model

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Fig. 3

Experimental uniaxial ratcheting responses of 304SS and corresponding simulations from updated and original β–model: (a) experiment, (b) experiment, (c) updated β–model, (d) updated β–model, (e) original β–model, and (f) original β–model

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Fig. 1

Illustration of the issue raised with the original β–model: (a) Experimental tensile stress–strain curves in x1 direction [28], (b) comparison between the experimental and simulated macroscopic stress–strain curves, (c) simulated local stress–strain curves for each grain orientation, and (d) distribution of the local strain for all the grains

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Fig. 6

Axial stress amplitude (σxa) and mean (σxm) responses of 304SS from multiple step experiments and corresponding simulations from updated and original β–models: (a) multiple axial strain amplitude and (b) multiple axial strain mean

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Fig. 7

Axial stress amplitude (σxa) and mean (σxm) responses of 304SS from biaxial strain-controlled experiments and corresponding simulations from updated and original β–models

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Fig. 8

Experimental circumferential strain ratcheting rates of 304SS from biaxial strain-controlled experiments and corresponding simulations from updated and original β–models

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Fig. 2

Simulation of the Ti-6Al-4V responses using modified β–model: ((a) and (b)) comparison of a macroscopic tensile stress–strain response of Ti-6Al-4V and its simulation by the mean field model, (c) improved simulation of local grain level strain, and (d) number of grains at various grain deformations

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