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Study of Monotonic Properties’ Relevance for Estimation of Cyclic Yield Stress and Ramberg-Osgood Parameters of Steels

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Abstract

Most of existing methods for estimation of cyclic stress-strain parameters have been developed for steels in general with no regard to the peculiarities of individual steel subgroups. Also, proposed models were commonly developed and evaluated without systematically determining if, and to what extent, individual monotonic properties contribute to their accuracy. In this work, a thorough statistical analysis of experimental datasets of 116 different steels obtained from literature was performed in order to determine which monotonic properties might be relevant for the estimation of cyclic yield stress and cyclic Ramberg-Osgood parameters of unalloyed, low-alloy and high-alloy steels. Only certain monotonic properties used in existing methods were found to be suitable for estimation purposes, while for a number of monotonic properties used in those references no such conclusion can be given. Furthermore, obtained results indicate that steels should not be treated as a single group since different sets of monotonic properties proved to be relevant for unalloyed, low- and high-alloy steel subgroups. Provided list of specific monotonic properties relevant for estimation of individual cyclic parameters of particular steel subgroups can be used for improving the accuracy of existing or development of new estimation methods.

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Abbreviations

A 5 :

Elongation related to 5× diameter of specimen (%)

E :

Young’s modulus (MPa)

H 0 :

Hypothesis to be tested

H 1 :

Alternative hypothesis

HB :

Brinell hardness (HB)

K :

Strength coefficient (MPa)

K′:

Cyclic strength coefficient (MPa)

n :

Strain hardening exponent (-)

n′:

Cyclic strain hardening exponent (-)

r :

Coefficient of correlation (-)

R 2 :

Coefficient of determination (-)

R 2adj :

Adjusted coefficient of determination (-)

R 2seq :

Coefficient of partial determination (-)

RA :

Reduction of area at fracture (%)

R e :

Yield stress (MPa)

\( R_{\text{e}}^{{\prime }}\) :

Cyclic yield stress (MPa)

R m :

Ultimate strength (MPa)

R m/R e :

Ultimate strength to yield stress ratio (-)

R p0.2 :

0.2% offset yield stress (MPa)

α:

Significance level (-)

α:

New fracture ductility parameter (%)

Δε:

True total strain range (-)

Δεe :

True elastic strain range (-)

Δεp :

True plastic strain range (-)

Δσ:

True stress range (MPa)

εf :

True fracture strain (-)

σf :

True fracture stress (MPa)

ν:

Poisson’s ratio (-)

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Acknowledgments

This work has been supported in part by the University of Rijeka [Project Number 13.09.1.2.09] and Croatian Science Foundation [Scientific Project Number IP-2014-09-4982].

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Authors and Affiliations

  1. Faculty of Engineering, University of Rijeka, 51000, Rijeka, Croatia

    Tea Marohnić & Robert Basan

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  1. Tea Marohnić
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  2. Robert Basan
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Correspondence to Tea Marohnić.

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Marohnić, T., Basan, R. Study of Monotonic Properties’ Relevance for Estimation of Cyclic Yield Stress and Ramberg-Osgood Parameters of Steels. J. of Materi Eng and Perform 25, 4812–4823 (2016). https://doi.org/10.1007/s11665-016-2311-1

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  • DOI: https://doi.org/10.1007/s11665-016-2311-1

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