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Deduction of geometrical approximation yield criterion and its application

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Abstract

A new linear yield criterion, referred to as geometrical approximation (GA) yield criterion, is proposed in this paper. On the π-plane in Haigh Westergaard stress space, its locus is an equilateral and non-equiangular dodecagon which has the largest approximation to the Mises locus in geometry. Also, its specific plastic work is deduced and applied to the limit analysis of circular plate under uniformly distributed load. Classical yield experimental data are adopted to validate the proposed criterion. It shows that the GA yield criterion can well fit the classical experimental data for different ductile metals. Application of the deduced specific plastic work to the limit analysis of a circular plate shows that the GA-based analytical results are higher than the Tresca results and closely match the Mises numerical results.

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Author information

Authors and Affiliations

  1. Shagang school of Iron and Steel, Soochow University, Suzhou, 215021, China

    Shunhu Zhang, Binna Song & Xiaonan Wang

  2. State Key Lab of Rolling and Automation, Northeastern University, Shenyang, 110819, China

    Dewen Zhao

  3. School of Chemical and Environmental Engineering, Soochow University, Suzhou, 215021, China

    Xiaodong Chen

Authors
  1. Shunhu Zhang
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  2. Binna Song
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  3. Xiaonan Wang
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  4. Dewen Zhao
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  5. Xiaodong Chen
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Corresponding author

Correspondence to Binna Song.

Additional information

Recommended by Associate Editor HYUNG YIL LEE

Shunhu Zhang received his Ph.D. in State Key Lab of Rolling and Automation from Northeastern University, China, in 2013. He is currently a Lecturer at the Shagang School of Iron and Steel, Soochow University, China. His current research interests include metal forming mechanics, heat and mass transfer process of food drying.

Binna Song received her Ph.D. in Nonferrous metal metallurgy from Northeastern University, China, in 2012. She is a currently a Lecturer at the Shagang School of Iron and Steel, Soochow University, China. His current research interests include cellular metals, powder metallurgy.

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Zhang, S., Song, B., Wang, X. et al. Deduction of geometrical approximation yield criterion and its application. J Mech Sci Technol 28, 2263–2271 (2014). https://doi.org/10.1007/s12206-014-0515-6

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  • DOI: https://doi.org/10.1007/s12206-014-0515-6

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