Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Miscellanea Vol. 11, No. 42 (2017)

Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms

Author and affiliation details
  • Vladimir Ruzicka Corresponding author Brno University of Technology, Faculty of Civil Engineering, Institute of Structural Mechanics, Veveří 331/95, 602 00 Brno, Czech Republic ruzicka@musicer.net
  • Lucie Malikova Academy of Sciences of the Czech Republic, Institute of Physics of Materials, v. v. i., Žižkova 22, 616 62 Brno, Czech Republic ORCID iD0000-0001-5868-5717
  • Stanislav Seitl Academy of Sciences of the Czech Republic, Institute of Physics of Materials, v. v. i., Žižkova 22, 616 62 Brno, Czech Republic ORCID iD0000-0002-4953-4324
DOI
10.3221/IGF-ESIS.42.14
Pages
Pages 128-135
Published
Licence
CC BY 4.0
Published inVol. 11, No. 42 (2017)Go to the issue

Abstract

A study on the accuracy of the values of Williams’ expansion terms influenced by rounding numbers is presented. The results are presented taking into account a three-point bend single edge notched beam. Crack tip stress tensor components are expressed using the linear elastic fracture mechanics (LEFM) theory in this work, more precisely via its multi-parameter formulation, i.e. by Williams’ power series (WPS). Determination of the coefficients of the terms of this series is performed using the least squaresbased regression technique known as the over-deterministic method (ODM), for which displacements data obtained numerically in software ANSYS are taken as inputs. The values of Williams’ expansion terms based on the displacement data obtained are calculated by using various levels of rounding numbers and the results are compared and discussed. 

Keywords

How to cite

APA

Ruzicka, V., Malikova, L., & Seitl, S. (2017). Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms. Fracture and Structural Integrity, 11(42), Pages 128–135. https://doi.org/10.3221/IGF-ESIS.42.14

IEEE

V. Ruzicka, L. Malikova, and S. Seitl, “Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms,” Fracture and Structural Integrity, vol. 11, no. 42, pp. Pages 128–135, 2017, doi: 10.3221/IGF-ESIS.42.14.

MLA

Ruzicka, Vladimir, et al. “Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms.” Fracture and Structural Integrity, vol. 11, no. 42, 2017, pp. Pages 128–135. https://doi.org/10.3221/IGF-ESIS.42.14.

Chicago

Ruzicka, Vladimir, Lucie Malikova, and Stanislav Seitl. 2017. “Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms.” Fracture and Structural Integrity 11 (42): Pages 128–135. https://doi.org/10.3221/IGF-ESIS.42.14.

Harvard

Ruzicka, V., Malikova, L. and Seitl, S. (2017) ‘Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms’, Fracture and Structural Integrity, 11(42), pp. Pages 128–135. doi: 10.3221/IGF-ESIS.42.14.

Vancouver

Ruzicka V, Malikova L, Seitl S. Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms. Fracture and Structural Integrity. 2017;11(42):Pages 128-135. doi:10.3221/IGF-ESIS.42.14

BibTeX

@article{ruzicka2017, author = {Ruzicka, Vladimir and Malikova, Lucie and Seitl, Stanislav}, title = {Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms}, journal = {Fracture and Structural Integrity}, year = {2017}, volume = {11}, number = {42}, pages = {Pages 128--135}, doi = {10.3221/IGF-ESIS.42.14}, url = {https://doi.org/10.3221/IGF-ESIS.42.14}, issn = {1971-8993} }

RIS

TY - JOUR AU - Ruzicka, Vladimir AU - Malikova, Lucie AU - Seitl, Stanislav TI - Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2017 DA - 2017/09/29 VL - 11 IS - 42 SP - Pages 128 EP - 135 DO - 10.3221/IGF-ESIS.42.14 UR - https://doi.org/10.3221/IGF-ESIS.42.14 SN - 1971-8993 ER -

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