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A micromechanical model considering dislocation density based intra-granular backstress under cyclic loading

机译：循环载荷下考虑位错密度的晶粒内背应力的微力学模型

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摘要

Cyclic loading experiments of the Sn-3.0Ag-0.5Cu solder alloy at a wide range of temperatures and strain rates are conducted. The influence of both temperature and strain rate are investigated. A micromechanical constitutive model based on the dislocation density theory is proposed for polycrystalline materials under cyclic loadings. The dislocation storage and annihilation mechanisms during strain path changes are considered by introducing the reversible dislocations. Based on Eshelby's inclusion analysis, a dislocation density related slip system level intra-granular backstress model is developed to describe the Bauschinger effect. The differences between the proposed backstress model and the traditional Armstrong-Frederick model are discussed. Combined with the small strain elastic plastic self-consistent model, the developed model is successfully applied to describe the cyclic stress-strain curves of body-centered tetragonal structured Sn-3.0Ag-0.5Cu alloy and modified 9Cr-1Mo steel with a body-centered cubic structure.
机译：对Sn-3.0Ag-0.5Cu钎料合金在较宽的温度和应变率范围内进行了循环加载实验。研究了温度和应变率的影响。提出了一种基于位错密度理论的多晶材料在循环载荷下的微机械本构模型。通过引入可逆位错来考虑应变路径变化过程中的位错存储和an灭机制。基于Eshelby的包含分析，建立了位错密度相关的滑移系统水平的颗粒内背应力模型来描述鲍辛格效应。讨论了所提出的背压模型与传统Armstrong-Frederick模型之间的差异。结合小应变弹性塑性自洽模型，成功地利用该模型描述了以体为中心的四方结构Sn-3.0Ag-0.5Cu合金和改性的9Cr-1Mo钢的体心循环应力-应变曲线。中心立方结构。

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  • 来源
    《Mechanics of materials》 |2019年第1期|41-49|共9页
  • 作者

    Lu Liu; Yao Yao; Tao Zeng; Keer Leon M.;

  • 作者单位

    Northwestern Polytech Univ, Sch Mech & Civil Engn, Xian 710072, Shaanxi, Peoples R China;

    Northwestern Polytech Univ, Sch Mech & Civil Engn, Xian 710072, Shaanxi, Peoples R China|Max Planck Inst Eisenforsch GmbH, Max Planck Str 1, D-40237 Dusseldorf, Germany;

    Northwestern Polytech Univ, Sch Mech & Civil Engn, Xian 710072, Shaanxi, Peoples R China;

    Northwestern Univ, Dept Civil & Environm Engn, 2145 Sheridan Rd, Evanston, IL 60208 USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Dislocation; Elastic plastic self-consistent model; Intra-granular backstress; Cyclic loading;

    机译：错位;弹性塑性自洽模型;颗粒内背应力;循环载荷;

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