Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Fracture Vol. 16, No. 62 (2022)

Elastic and nonlinear crack tip solutions comparison with respect to failure probability

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
  • Nataliya Boychenko FRC Kazan Scientific Center of Russian Academy of Sciences, Russia ORCID iD0000-0002-5959-470X
DOI
10.3221/IGF-ESIS.62.01
Pages
1-13
Published
Licence
CC BY 4.0

Abstract

This study represents a methodology to assess the probability of failure based on three the driving force formulations defined by the corresponding brittle and ductile fracture criteria for compact and bending specimens made of 34XH3MA and S55C steels. The elastic stress intensity factor (SIF) and two types of the non-linear plastic SIFs were considered as the driving force or generalized parameter (GP) to determine the probability of failure assuming a three-parameter Weibull distribution. The elastic SIF were experimentally obtained for studied materials and specimen geometries whereas the plastic SIFs were numerically calculated for the same material properties, specimen configurations and loading conditions according to classical J2 and strain gradient plasticity theories. Different specimen types with varying relative crack lengths and thicknesses were investigated. Proposed the normalized generalized parameter accounting for brittle or ductile fracture can be used as a suitable failure variable that is confirmed by comparison of the obtained failure cumulative distribution functions based on the three studied GPs.

Keywords

Article history

  1. ReceivedUntil the next stage: 0 days
  2. AcceptedUntil the next stage: 71 days
  3. Published

How to cite

APA

Shlyannikov, V., Tumanov, A., & Boychenko, N. (2022). Elastic and nonlinear crack tip solutions comparison with respect to failure probability. Fracture and Structural Integrity, 16(62), 1–13. https://doi.org/10.3221/IGF-ESIS.62.01

IEEE

V. Shlyannikov, A. Tumanov, and N. Boychenko, “Elastic and nonlinear crack tip solutions comparison with respect to failure probability,” Fracture and Structural Integrity, vol. 16, no. 62, pp. 1–13, 2022, doi: 10.3221/IGF-ESIS.62.01.

MLA

Shlyannikov, Valery, et al. “Elastic and nonlinear crack tip solutions comparison with respect to failure probability.” Fracture and Structural Integrity, vol. 16, no. 62, 2022, pp. 1–13. https://doi.org/10.3221/IGF-ESIS.62.01.

Chicago

Shlyannikov, Valery, Andrey Tumanov, and Nataliya Boychenko. 2022. “Elastic and nonlinear crack tip solutions comparison with respect to failure probability.” Fracture and Structural Integrity 16 (62): 1–13. https://doi.org/10.3221/IGF-ESIS.62.01.

Harvard

Shlyannikov, V., Tumanov, A. and Boychenko, N. (2022) ‘Elastic and nonlinear crack tip solutions comparison with respect to failure probability’, Fracture and Structural Integrity, 16(62), pp. 1–13. doi: 10.3221/IGF-ESIS.62.01.

Vancouver

Shlyannikov V, Tumanov A, Boychenko N. Elastic and nonlinear crack tip solutions comparison with respect to failure probability. Fracture and Structural Integrity. 2022;16(62):1-13. doi:10.3221/IGF-ESIS.62.01

BibTeX

@article{shlyannikov2022, author = {Shlyannikov, Valery and Tumanov, Andrey and Boychenko, Nataliya}, title = {Elastic and nonlinear crack tip solutions comparison with respect to failure probability}, journal = {Fracture and Structural Integrity}, year = {2022}, volume = {16}, number = {62}, pages = {1--13}, doi = {10.3221/IGF-ESIS.62.01}, url = {https://doi.org/10.3221/IGF-ESIS.62.01}, issn = {1971-8993} }

RIS

TY - JOUR AU - Shlyannikov, Valery AU - Tumanov, Andrey AU - Boychenko, Nataliya TI - Elastic and nonlinear crack tip solutions comparison with respect to failure probability JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2022 DA - 2022/09/22 VL - 16 IS - 62 SP - 1 EP - 13 DO - 10.3221/IGF-ESIS.62.01 UR - https://doi.org/10.3221/IGF-ESIS.62.01 SN - 1971-8993 ER -

Licence

Creative Commons Attribution 4.0 International

May be shared and adapted, provided appropriate credit is given. Copyright © 2022 Valery Shlyannikov, Andrey Tumanov , Nataliya Boychenko.

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

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