Back stress strengthening and strain hardening in gradient structure

Muxin Yang; Yue Pan; Fuping Yuan; Yuntian Zhu; Xiaolei Wu

doi:10.1080/21663831.2016.1153004

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Back stress strengthening and strain hardening in gradient structure

Original Reports | 更新时间：2026-08-19

- Back stress strengthening and strain hardening in gradient structure
- Back stress strengthening and strain hardening in gradient structure
- 材料研究快报（英文） 2016年4卷第3期页码：145-151
- 作者机构：
  
  1. Chinese Academy of Sciences State Key Laboratory of Nonlinear Mechanics Institute of Mechanics 15 Beisihuan West Road
  2. Chinese Academy of Sciences State Key Laboratory of Nonlinear Mechanics Institute of Mechanics 15 Beisihuan West Road Beijing China,100190
  3. Intern from School of Aerospace Engineering and Applied Mechanics Tongji University No. Siping Road,1239
  4. Department of Materials Science and Engineering North Carolina State University Campus Box 7919 Raleigh 95 USA,NC276
  5. School of Materials Science and Engineering Nanjing University of Science and Technology Xiaolingwei,200
- 作者简介：
- 基金信息：
- DOI：10.1080/21663831.2016.1153004
  中图分类号：
- 网络首发：2016-03-02，
  
  纸质出版：2016
- 稿件说明：
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Muxin Yang, Yue Pan, Fuping Yuan, 等. Back stress strengthening and strain hardening in gradient structure[J]. 材料研究快报（英文）, 2016,4(3):145-151.

Muxin Yang, Yue Pan, Fuping Yuan, et al. Back stress strengthening and strain hardening in gradient structure[J]. Materials Research Letters, 2016, 4(3): 145-151.
Muxin Yang, Yue Pan, Fuping Yuan, 等. Back stress strengthening and strain hardening in gradient structure[J]. 材料研究快报（英文）, 2016,4(3):145-151. DOI： 10.1080/21663831.2016.1153004.

Muxin Yang, Yue Pan, Fuping Yuan, et al. Back stress strengthening and strain hardening in gradient structure[J]. Materials Research Letters, 2016, 4(3): 145-151. DOI： 10.1080/21663831.2016.1153004.

摘要

Abstract

We report significant back stress strengthening and strain hardening in gradient structured (GS) interstitial-free (IF) steel. Back stress is long-range stress caused by the pileup of geometrically necessary dislocations (GNDs). A simple equation and a procedure are developed to calculate back stress basing on its formation physics from the tensile unloading–reloading hysteresis loop. The gradient structure has mechanical incompatibility due to its grain size gradient. This induces strain gradient

which needs to be accommodated by GNDs. Back stress not only raises the yield strength but also significantly enhances strain hardening to increase the ductility.

Impact Statement:

Gradient structure leads to high back stress hardening to increase strength and ductility. A physically sound equation is derived to calculate the back stress from an unloading/reloading hysteresis loop.

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