Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Fracture Vol. 16, No. 59 (2022)

The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length

Author and affiliation details
  • Stavros K Kourkoulis Corresponding author National Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, Laboratory for Testing and Materials, Theocaris Building, Zografou Campus, 157 73, Athens, Greece ORCID iD0000-0003-3246-9308 stakkour@central.ntua.gr
  • Christos Markides National Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, Laboratory for Testing and Materials, Theocaris Building, Zografou Campus, 157 73, Athens, Greece ORCID iD0000-0001-6547-3616
  • Ermioni Pasiou National Technical University of Athens, School of Applied Mathematical and Physical Sciences, Department of Mechanics, Laboratory for Testing and Materials, Theocaris Building, Zografou Campus, 157 73, Athens, Greece ORCID iD0000-0003-1580-3415
  • Andronikos Loukidis University of West Attica, Department of Electrical & Electronics Engineering, Electronic Devices and Materials Laboratory, 250 Thivon Avenue, 122 44, Athens, Greece ORCID iD0000-0002-5764-5366
  • Dimos Triantis University of West Attica, Department of Electrical & Electronics Engineering, Electronic Devices and Materials Laboratory, 250 Thivon Avenue, 122 44, Athens, Greece
DOI
10.3221/IGF-ESIS.59.27
Pages
405-422
Published
Licence
CC BY 4.0
Published inVol. 16, No. 59 (2022)Go to the issue

Abstract

The role of some geometrical characteristics of the notches ma­chined in circular discs, in order to determine the mode-I fracture tough­ness of brittle materials, is discussed. The study is implemented both analyti­cally and numerically. For the analytic study advantage is taken of a recently intro­duced solution for the stress- and displacement-fields developed in a finite disc with a central notch of finite width and length and rounded corners. The vari­ation of the stresses along strategic loci and the deformation of the peri­me­ter of the notch obtained analytically are used for the calibration/validation of a flexible nu­mer­ical model, which is then used for a parametric investiga­tion of the role of geometrical features of the notched disc (thickness of the disc, length and width of the notch, radius of the rounded corners of the notch). It is con­cluded that the role of the width of the notch is of critical im­port­ance. Both the ana­lytic and the numerical studies indicate definitely that ignoring the ac­curate geo­metric shape of the notch leads to erroneous results concerning the actual stress field around the crown of the notch. Therefore, it is possible that misleading values of the fracture toughness of the material of the disc may be obtained.

Keywords

Article history

  1. ReceivedUntil the next stage: 1 day
  2. AcceptedUntil the next stage: 29 days
  3. Published

How to cite

APA

Kourkoulis, S. K., Markides, C., Pasiou, E., Loukidis, A., & Triantis, D. (2021). The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length. Fracture and Structural Integrity, 16(59), 405–422. https://doi.org/10.3221/IGF-ESIS.59.27

IEEE

S. K. Kourkoulis, C. Markides, E. Pasiou, A. Loukidis, and D. Triantis, “The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length,” Fracture and Structural Integrity, vol. 16, no. 59, pp. 405–422, 2021, doi: 10.3221/IGF-ESIS.59.27.

MLA

Kourkoulis, Stavros K, et al. “The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length.” Fracture and Structural Integrity, vol. 16, no. 59, 2021, pp. 405–422. https://doi.org/10.3221/IGF-ESIS.59.27.

Chicago

Kourkoulis, Stavros K, Christos Markides, Ermioni Pasiou, Andronikos Loukidis, and Dimos Triantis. 2021. “The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length.” Fracture and Structural Integrity 16 (59): 405–422. https://doi.org/10.3221/IGF-ESIS.59.27.

Harvard

Kourkoulis, S.K., Markides, C., Pasiou, E., Loukidis, A. and Triantis, D. (2021) ‘The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length’, Fracture and Structural Integrity, 16(59), pp. 405–422. doi: 10.3221/IGF-ESIS.59.27.

Vancouver

Kourkoulis SK, Markides C, Pasiou E, Loukidis A, Triantis D. The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length. Fracture and Structural Integrity. 2021;16(59):405-422. doi:10.3221/IGF-ESIS.59.27

BibTeX

@article{kourkoulis2021, author = {Kourkoulis, Stavros K and Markides, Christos and Pasiou, Ermioni and Loukidis, Andronikos and Triantis, Dimos}, title = {The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length}, journal = {Fracture and Structural Integrity}, year = {2021}, volume = {16}, number = {59}, pages = {405--422}, doi = {10.3221/IGF-ESIS.59.27}, url = {https://doi.org/10.3221/IGF-ESIS.59.27}, issn = {1971-8993} }

RIS

TY - JOUR AU - Kourkoulis, Stavros K AU - Markides, Christos AU - Pasiou, Ermioni AU - Loukidis, Andronikos AU - Triantis, Dimos TI - The critical influence of some “tiny” geometrical details on the stress field in a Brazilian Disc with a central notch of finite width and length JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2021 DA - 2021/12/22 VL - 16 IS - 59 SP - 405 EP - 422 DO - 10.3221/IGF-ESIS.59.27 UR - https://doi.org/10.3221/IGF-ESIS.59.27 SN - 1971-8993 ER -

Licence

Creative Commons Attribution 4.0 International

May be shared and adapted, provided appropriate credit is given. Copyright © 2021 Stavros K Kourkoulis, Christos Markides, Ermioni Pasiou, Andronikos Loukidis, Dimos Triantis.

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

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