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Research Papers

Influence of Dissipated Energy on Shear Band Spacing in HY-100 Steel

[+] Author and Article Information

EMMS, Faculté des Sciences et Techniques, Université My Ismaïl, Errachidia 52000, Morocco

L. Daridon, A. Chrysochoos

LMGC-UMR CNRS 5508, Université Montpellier II, CC 048, Montpellier 34095, France

S. Ahzi1

IMFS-UMR CNRS n° 7507, Université Louis Pasteur, 2 Rue Boussingault, Strasbourg 67000, Franceahzi@unistra.fr

1

Corresponding author.

J. Eng. Mater. Technol 133(2), 021002 (Mar 03, 2011) (6 pages) doi:10.1115/1.4001592 History: Received March 24, 2009; Revised February 21, 2010; Published March 03, 2011; Online March 03, 2011

Abstract

To analyze the formation of multiple shear bands in HY-100 steel, we consider an infinitely extended layer of finite thickness subjected to shear loading. The perturbation approach, associated with numerical methods, is used to determine the instability modes. The criteria of Wright–Ockendon and Molinari are used to determine the shear band spacing. The hypothesis consisting in considering the proportion of plastic work dissipated as heat (quantified by the Taylor–Quinney coefficient $β$) as independent of the loading path is now recognized as highly simplistic. The present study attempts to provide a systematic approach to the inelastic heat fraction evolution for a general loading within the framework of thermoviscoplastic standard modeling, including a number of material parameters as strain hardening, strain rate sensitivity, and thermal softening. The effect of each material parameter on the shear band spacing is determined by using a power law constitutive relation. The Johnson–Cook and power law models are used to illustrate the influence of the constitutive relation on the results for the adiabatic shear band spacing by studying the response of HY-100 steel. We have compared our results with available experimental results in the literature over a very wide range of strain rates $(103–105 s−1)$. In this study, we show that the variation in the Taylor–Quinney parameter $β(γ)$ as a function of shear strain is an important parameter that plays a significant role in the calculation of the shear band spacing.

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Figures

Figure 1

Geometry used for shear analysis

Figure 2

Experimental and theoretical Taylor–Quinney parameter as function the plastic strain

Figure 3

Dominant growth rate ηD versus the wave number ξ for HY-100 steel and the power law

Figure 4

Influence of γ0 on ηc and Lc for HY-100 steel and the power law

Figure 5

Influence of the strain hardening exponent n on the shear band spacing Ls

Figure 6

Influence of the strain rate hardening exponent m on the shear band spacing Ls

Figure 7

Influence of the thermal softening exponent ν on the shear band spacing Ls

Figure 10

Influence of the thermal conductivity on the shear band spacing Ls for the power law and the Johnson–Cook model

Figure 8

Influence of γ0 on ηc and Lc, for HY-100 steel and the Johnson–Cook model

Figure 9

Influence of the nominal strain rate on the shear band spacing Ls for the power law and the Johnson–Cook model

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