Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Fracture Vol. 14, No. 54 (2020)

Strain-gradient effect on the crack tip dislocations density

Author and affiliation details
  • Valery Shlyannikov Corresponding author FRC Kazan Scientific Center of Russian Academy of Sciences, Russia shlyannikov@mail.ru
  • Andrey Tumanov FRC Kazan Scientific Center of Russian Academy of Sciences, Russia
  • Ruslan Khamidullin FRC Kazan Scientific Center of Russian Academy of Sciences, Russia
DOI
10.3221/IGF-ESIS.54.14
Pages
192-201
Published
Licence
CC BY 4.0
Published inVol. 14, No. 54 (2020)Go to the issue

Abstract

In this study, the influence of a material’s plastic properties on the crack tip fields and dislocation density behavior is analytically and numerically analyzed using the conventional mechanism-based strain-gradient plasticity (CMSGP) theory established using the Taylor model. The material constitutive equation is implemented in a commercial finite element code by a user subroutine, and the crack tip fields are evaluated with novel parameters in the form of the intrinsic material length, characterizing the scale over which gradient effects become significant. As a consequence of the strain-gradient contribution, FE results show a significant increase in the magnitude of the stress fields of CMSGP when the material length parameter is considered. It is found that the density of geometrically necessary dislocations (GND) is large around the crack tip, but it rapidly decreases away from the crack tip. On the contrary, the density of statistically stored dislocations (SSD) is not as large as geometrically necessary dislocations around the crack tip, but it decreases much slower than GND away from the crack tip. A couple effect of material work hardening and the crack tip distance is identified.

Keywords

Article history

  1. ReceivedUntil the next stage: 2 days
  2. AcceptedUntil the next stage: 28 days
  3. Published

How to cite

APA

Shlyannikov, V., Tumanov, A., & Khamidullin, R. (2020). Strain-gradient effect on the crack tip dislocations density. Fracture and Structural Integrity, 14(54), 192–201. https://doi.org/10.3221/IGF-ESIS.54.14

IEEE

V. Shlyannikov, A. Tumanov, and R. Khamidullin, “Strain-gradient effect on the crack tip dislocations density,” Fracture and Structural Integrity, vol. 14, no. 54, pp. 192–201, 2020, doi: 10.3221/IGF-ESIS.54.14.

MLA

Shlyannikov, Valery, et al. “Strain-gradient effect on the crack tip dislocations density.” Fracture and Structural Integrity, vol. 14, no. 54, 2020, pp. 192–201. https://doi.org/10.3221/IGF-ESIS.54.14.

Chicago

Shlyannikov, Valery, Andrey Tumanov, and Ruslan Khamidullin. 2020. “Strain-gradient effect on the crack tip dislocations density.” Fracture and Structural Integrity 14 (54): 192–201. https://doi.org/10.3221/IGF-ESIS.54.14.

Harvard

Shlyannikov, V., Tumanov, A. and Khamidullin, R. (2020) ‘Strain-gradient effect on the crack tip dislocations density’, Fracture and Structural Integrity, 14(54), pp. 192–201. doi: 10.3221/IGF-ESIS.54.14.

Vancouver

Shlyannikov V, Tumanov A, Khamidullin R. Strain-gradient effect on the crack tip dislocations density. Fracture and Structural Integrity. 2020;14(54):192-201. doi:10.3221/IGF-ESIS.54.14

BibTeX

@article{shlyannikov2020, author = {Shlyannikov, Valery and Tumanov, Andrey and Khamidullin, Ruslan}, title = {Strain-gradient effect on the crack tip dislocations density}, journal = {Fracture and Structural Integrity}, year = {2020}, volume = {14}, number = {54}, pages = {192--201}, doi = {10.3221/IGF-ESIS.54.14}, url = {https://doi.org/10.3221/IGF-ESIS.54.14}, issn = {1971-8993} }

RIS

TY - JOUR AU - Shlyannikov, Valery AU - Tumanov, Andrey AU - Khamidullin, Ruslan TI - Strain-gradient effect on the crack tip dislocations density JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2020 DA - 2020/09/23 VL - 14 IS - 54 SP - 192 EP - 201 DO - 10.3221/IGF-ESIS.54.14 UR - https://doi.org/10.3221/IGF-ESIS.54.14 SN - 1971-8993 ER -

Licence

Creative Commons Attribution 4.0 International

May be shared and adapted, provided appropriate credit is given. Copyright © 2020 Valery Shlyannikov; Andrey Tumanov; Ruslan Khamidullin.

Copyright 
Authors are allowed to retain both the copyright and the publishing rights of their articles without restrictions.  

Open Access Statement

Fracture and Structural Integrity (F&SI) is an open-access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. This is in accordance with the DOAI definition of open access.

F&SI operates under the Creative Commons Licence Attribution 4.0 International (CC-BY 4.0). This allows to copy and redistribute the material in any medium or format, to remix, transform and build upon the material for any purpose, even commercially, but giving appropriate credit, providing a link to the license, and indicating if changes were made.

Similar articles

Most read articles by the same author(s)