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A Simple Relationship Between Axial and Torsional Cyclic Parameters

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Abstract

The ultimate purpose of the present article is to theoretically estimate the cyclic shear strength coefficient and the cyclic shear strain hardening exponent. For this purpose, the relationship between axial and torsional cyclic parameters is addressed in light of the von-Mises criterion. Material data for 15 kinds of material have been taken from the technical literature to check the accuracy and reliability of the developed correlations. Maximum differences of 18.6 and 27.7% were observed for theoretical versus experimental results for the cyclic shear strength coefficient and the cyclic shear strain hardening exponent, respectively. Experimental verifications show that the devised relationship can describe the cyclic shear stress-strain curves well. The characteristic of the theoretical approach is simple and easy to use. In addition, the theoretical results can be further applied to examine the correctness of the test data.

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Abbreviations

E :

Young’s modulus

G :

shear modulus

ψ:

reduction in area (%)

ν:

Poisson’s ratio

Δɛ:

strain range in axial fatigue test

Δσ:

stress range in axial fatigue test

Δγ:

shear strain range in torsional fatigue test

Δτ:

shear stress range in torsional fatigue test

\( \upsigma^{\prime}_{\text{f}} \) :

axial fatigue strength coefficient

\( \upvarepsilon^{\prime}_{\text{f}} \) :

axial fatigue ductility coefficient

b :

axial fatigue strength exponent

c :

axial fatigue ductility exponent

\( \uptau^{\prime}_{\text{f}} \) :

shear fatigue strength coefficient

\( \upgamma^{\prime}_{\text{f}} \) :

shear fatigue ductility coefficient

b o :

shear fatigue strength exponent

c o :

shear fatigue ductility exponent

K′:

cyclic strength coefficient

n′:

cyclic strain hardening exponent

\( K^{\prime}_{\text{o}} \) :

cyclic shear strength coefficient

\( n^{\prime}_{\text{o}} \) :

cyclic shear strain hardening exponent

t :

the theoretical value

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Authors and Affiliations

  1. The Science Institute, Air Force Engineering University, East Chang Le Road, Xi’an, 710051, China

    Jing Li, Zhong-ping Zhang, Qiang Sun, Chun-wang Li & Rong-sui Li

Authors
  1. Jing Li
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  2. Zhong-ping Zhang
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  3. Qiang Sun
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  4. Chun-wang Li
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  5. Rong-sui Li
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Correspondence to Jing Li.

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Li, J., Zhang, Zp., Sun, Q. et al. A Simple Relationship Between Axial and Torsional Cyclic Parameters. J. of Materi Eng and Perform 20, 1289–1293 (2011). https://doi.org/10.1007/s11665-010-9748-4

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  • DOI: https://doi.org/10.1007/s11665-010-9748-4

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