A dislocation density based strain gradient model

Steffen Brinckmann, Thomas Siegmund*, Yonggang Huang

*Corresponding author for this work

Research output: Contribution to journalArticle

49 Citations (Scopus)

Abstract

Strain gradients play a vital role in the prediction of size-effects in the deformation behavior of metals at the micrometer scale. At this scale the behavior of metals strongly depends on the dislocation distribution. In this paper, a dislocation density based strain gradient model is developed aiming at predictions of size-effects for structural components at this scale. For this model, the characteristic length is identified as the average distance of dislocation motion, which is deformation dependant and can be determined experimentally. The response of the model is compared to the strain gradient plasticity model of Huang et al. [Huang, Y., Qu, S., Hwang, K.C., Li, M., Gao, H., 2004. A conventional theory of mechanism-based strain gradient plasticity. Int. J. Plasticity 20, 753-782]. It is shown that the present strain gradient model, which only requires a physically measurable length-scale, can successfully predict size effects for a bar with an applied body force and for void growth.

Original languageEnglish (US)
Pages (from-to)1784-1797
Number of pages14
JournalInternational journal of plasticity
Volume22
Issue number9
DOIs
StatePublished - Sep 1 2006

Fingerprint

Plasticity
Metals

Keywords

  • Dislocation
  • Materials length
  • Plasticity
  • Size effect
  • Strain gradient

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Brinckmann, Steffen ; Siegmund, Thomas ; Huang, Yonggang. / A dislocation density based strain gradient model. In: International journal of plasticity. 2006 ; Vol. 22, No. 9. pp. 1784-1797.
@article{8fbee0635602450db7de4dd9c1bb97d9,
title = "A dislocation density based strain gradient model",
abstract = "Strain gradients play a vital role in the prediction of size-effects in the deformation behavior of metals at the micrometer scale. At this scale the behavior of metals strongly depends on the dislocation distribution. In this paper, a dislocation density based strain gradient model is developed aiming at predictions of size-effects for structural components at this scale. For this model, the characteristic length is identified as the average distance of dislocation motion, which is deformation dependant and can be determined experimentally. The response of the model is compared to the strain gradient plasticity model of Huang et al. [Huang, Y., Qu, S., Hwang, K.C., Li, M., Gao, H., 2004. A conventional theory of mechanism-based strain gradient plasticity. Int. J. Plasticity 20, 753-782]. It is shown that the present strain gradient model, which only requires a physically measurable length-scale, can successfully predict size effects for a bar with an applied body force and for void growth.",
keywords = "Dislocation, Materials length, Plasticity, Size effect, Strain gradient",
author = "Steffen Brinckmann and Thomas Siegmund and Yonggang Huang",
year = "2006",
month = "9",
day = "1",
doi = "10.1016/j.ijplas.2006.01.005",
language = "English (US)",
volume = "22",
pages = "1784--1797",
journal = "International Journal of Plasticity",
issn = "0749-6419",
publisher = "Elsevier Limited",
number = "9",

}

A dislocation density based strain gradient model. / Brinckmann, Steffen; Siegmund, Thomas; Huang, Yonggang.

In: International journal of plasticity, Vol. 22, No. 9, 01.09.2006, p. 1784-1797.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A dislocation density based strain gradient model

AU - Brinckmann, Steffen

AU - Siegmund, Thomas

AU - Huang, Yonggang

PY - 2006/9/1

Y1 - 2006/9/1

N2 - Strain gradients play a vital role in the prediction of size-effects in the deformation behavior of metals at the micrometer scale. At this scale the behavior of metals strongly depends on the dislocation distribution. In this paper, a dislocation density based strain gradient model is developed aiming at predictions of size-effects for structural components at this scale. For this model, the characteristic length is identified as the average distance of dislocation motion, which is deformation dependant and can be determined experimentally. The response of the model is compared to the strain gradient plasticity model of Huang et al. [Huang, Y., Qu, S., Hwang, K.C., Li, M., Gao, H., 2004. A conventional theory of mechanism-based strain gradient plasticity. Int. J. Plasticity 20, 753-782]. It is shown that the present strain gradient model, which only requires a physically measurable length-scale, can successfully predict size effects for a bar with an applied body force and for void growth.

AB - Strain gradients play a vital role in the prediction of size-effects in the deformation behavior of metals at the micrometer scale. At this scale the behavior of metals strongly depends on the dislocation distribution. In this paper, a dislocation density based strain gradient model is developed aiming at predictions of size-effects for structural components at this scale. For this model, the characteristic length is identified as the average distance of dislocation motion, which is deformation dependant and can be determined experimentally. The response of the model is compared to the strain gradient plasticity model of Huang et al. [Huang, Y., Qu, S., Hwang, K.C., Li, M., Gao, H., 2004. A conventional theory of mechanism-based strain gradient plasticity. Int. J. Plasticity 20, 753-782]. It is shown that the present strain gradient model, which only requires a physically measurable length-scale, can successfully predict size effects for a bar with an applied body force and for void growth.

KW - Dislocation

KW - Materials length

KW - Plasticity

KW - Size effect

KW - Strain gradient

UR - http://www.scopus.com/inward/record.url?scp=33747877130&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747877130&partnerID=8YFLogxK

U2 - 10.1016/j.ijplas.2006.01.005

DO - 10.1016/j.ijplas.2006.01.005

M3 - Article

VL - 22

SP - 1784

EP - 1797

JO - International Journal of Plasticity

JF - International Journal of Plasticity

SN - 0749-6419

IS - 9

ER -