Fracture and Structural Integrity e-ISSN 1971-8993 Open access
SI: Russian mechanics contributions for Structural Integrity Vol. 13, No. 49 (2019)

Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle

Author and affiliation details
  • Yury Matvienko Corresponding author Mechanical Engineering Research Institute of the Russian Academy of Sciences ygmatvienko@gmail.com
  • Nataliya Popova
  • Evgeny Morozov
DOI
10.3221/IGF-ESIS.49.26
Pages
267-271
Published
Published inVol. 13, No. 49 (2019)Go to the issue

Abstract

Variational principle of brittle fracture mechanics is employed to predict the crack path in an infinite wedge under a concentrated tensile force. The weight function in basic equation of variational problem is assumed to be proportional to the maximum strain in the uncracked wedge. Obtained equation for solving the variational problem allowed predicting the crack path in general. The predicted crack path is in agreement with experimental results obtained in the case of the truncated wedge.

Keywords

Article history

  1. ReceivedUntil the next stage: 10 days
  2. AcceptedUntil the next stage: 14 days
  3. Published

How to cite

APA

Matvienko, Y., Popova, N., & Morozov, E. (2019). Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle. Fracture and Structural Integrity, 13(49), 267–271. https://doi.org/10.3221/IGF-ESIS.49.26

IEEE

Y. Matvienko, N. Popova, and E. Morozov, “Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle,” Fracture and Structural Integrity, vol. 13, no. 49, pp. 267–271, 2019, doi: 10.3221/IGF-ESIS.49.26.

MLA

Matvienko, Yury, et al. “Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle.” Fracture and Structural Integrity, vol. 13, no. 49, 2019, pp. 267–271. https://doi.org/10.3221/IGF-ESIS.49.26.

Chicago

Matvienko, Yury, Nataliya Popova, and Evgeny Morozov. 2019. “Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle.” Fracture and Structural Integrity 13 (49): 267–271. https://doi.org/10.3221/IGF-ESIS.49.26.

Harvard

Matvienko, Y., Popova, N. and Morozov, E. (2019) ‘Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle’, Fracture and Structural Integrity, 13(49), pp. 267–271. doi: 10.3221/IGF-ESIS.49.26.

Vancouver

Matvienko Y, Popova N, Morozov E. Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle. Fracture and Structural Integrity. 2019;13(49):267-271. doi:10.3221/IGF-ESIS.49.26

BibTeX

@article{matvienko2019, author = {Matvienko, Yury and Popova, Nataliya and Morozov, Evgeny}, title = {Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle}, journal = {Fracture and Structural Integrity}, year = {2019}, volume = {13}, number = {49}, pages = {267--271}, doi = {10.3221/IGF-ESIS.49.26}, url = {https://doi.org/10.3221/IGF-ESIS.49.26}, issn = {1971-8993} }

RIS

TY - JOUR AU - Matvienko, Yury AU - Popova, Nataliya AU - Morozov, Evgeny TI - Predicting the crack path in a wedge under a concentrated tensile force by means of variational principle JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2019 DA - 2019/06/07 VL - 13 IS - 49 SP - 267 EP - 271 DO - 10.3221/IGF-ESIS.49.26 UR - https://doi.org/10.3221/IGF-ESIS.49.26 SN - 1971-8993 ER -

Licence

Copyright © 2019 Yury Matvienko, Nataliya Popova, Evgeny Morozov.

Copyright 
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