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

Lu Liu, Yao Yao*, Tao Zeng, Leon M Keer

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)41-49
Number of pages9
JournalMechanics of Materials
Volume129
DOIs
StatePublished - Jan 1 2019

Fingerprint

Dislocations (crystals)
Strain rate
strain rate
Bauschinger effect
Polycrystalline materials
Steel
Stress-strain curves
Constitutive models
Soldering alloys
solders
Plastics
slip
plastics
Temperature
steels
inclusions
temperature
curves
Experiments

Keywords

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

ASJC Scopus subject areas

  • Instrumentation
  • Materials Science(all)
  • Mechanics of Materials

Cite this

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title = "A micromechanical model considering dislocation density based intra-granular backstress under cyclic loading",
abstract = "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.",
keywords = "Cyclic loading, Dislocation, Elastic plastic self-consistent model, Intra-granular backstress",
author = "Lu Liu and Yao Yao and Tao Zeng and Keer, {Leon M}",
year = "2019",
month = "1",
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A micromechanical model considering dislocation density based intra-granular backstress under cyclic loading. / Liu, Lu; Yao, Yao; Zeng, Tao; Keer, Leon M.

In: Mechanics of Materials, Vol. 129, 01.01.2019, p. 41-49.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A micromechanical model considering dislocation density based intra-granular backstress under cyclic loading

AU - Liu, Lu

AU - Yao, Yao

AU - Zeng, Tao

AU - Keer, Leon M

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Cyclic loading

KW - Dislocation

KW - Elastic plastic self-consistent model

KW - Intra-granular backstress

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