[1] Fu Jun, Pang Miao, Song Guangyuan, Zhang Yongqiang, et al. Analysis of plane strain bending of a strain hardening curved beambased on unified yield criterion [J]. Journal of Southeast University (English Edition), 2016, 32 (3): 339-345. [doi:10.3969/j.issn.1003-7985.2016.03.014]

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Analysis of plane strain bending of a strain hardening curved beambased on unified yield criterion()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

32

Issue:

2016 3

Page:

339-345

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2016-09-20

Info

Title:

Analysis of plane strain bending of a strain hardening curved beambased on unified yield criterion

Author(s):

Fu Jun¹;  Pang Miao²;  Song Guangyuan²;  Zhang Yongqiang²;  Yang Bo¹

¹School of Civil Engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou 310018, China
²College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China

Keywords:

curved beam;  plane strain;  strain hardening;  elastic-plastic bending;  unified yield criterion

PACS:

O343

DOI:

10.3969/j.issn.1003-7985.2016.03.014

Abstract:

The analysis of plane strain elastic-plastic bending of a linear strain hardening curved beam with a narrow rectangular cross section subjected to couples at its end is conducted based on a unified yield criterion. The solutions for the mechanical properties of plane strain bending are derived, which are adapted for various kinds of non-strength differential materials and can be degenerated to those based on the Tresca, von Mises, and twin-shear yield criteria. The dependences of the two critical bending moments, the radii of the interfaces between the elastic and plastic regions and the radial displacements of the points at the symmetrical plane on different yield criteria and Poisson’s ratios are discussed. The results show that the influences of different yield criteria and Poisson’s ratio on the two critical bending moments, the radii of the interfaces between the elastic and plastic regions and the radial displacements of the points at the symmetrical plane of the curved beam are significant. Once the value of b is obtained by experiments, the yield criterion and the corresponding solution for the materials of interest are then determined.

References:

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Memo

Memo:

Biographies: Fu Jun(1970—), male, doctor, associate professor, fujun@zstu.edu.cn; Pang Miao(1972—), male, doctor, associate professor, pm@zju.edu.cn.
Foundation item: The Project of the Ministry of Housing and Urban-Rural Development(No.2014-K4-010).
Citation: Fu Jun, Pang Miao, Song Guangyuan, et al. Analysis of plane strain bending of a strain hardening curved beam based on unified yield criterion[J].Journal of Southeast University(English Edition), 2016, 32(3):339-345.DOI:10.3969/j.issn.1003-7985.2016.03.014.

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