Publication result detail

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

RŮŽIČKA, V.; MALÍKOVÁ, L.; SEITL, S.

Original Title

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

English Title

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

Type

WoS Article

Original 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 squares-based 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.

English 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 squares-based 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

Over-deterministic method; Rounding numbers; Williams’ expansion; Fracture mechanics; Stress field

Key words in English

Over-deterministic method; Rounding numbers; Williams’ expansion; Fracture mechanics; Stress field

Authors

RŮŽIČKA, V.; MALÍKOVÁ, L.; SEITL, S.

RIV year

2018

Released

01.11.2017

Publisher

Gruppo Italiano Frattura

ISBN

1971-8993

Periodical

Frattura ed Integrita Strutturale-Fracture and Structural Integrity

Volume

11

Number

42

State

Republic of Italy

Pages from

128

Pages to

135

Pages count

8

URL

http://www.gruppofrattura.it/pdf/rivista/numero42/numero_42_art_14.pdf

Full text in the Digital Library

http://hdl.handle.net/11012/180525

BibTex

@article{BUT146038,
  author="Vladimír {Růžička} and Lucie {Malíková} and Stanislav {Seitl}",
  title="Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams' expansion terms",
  journal="Frattura ed Integrita Strutturale-Fracture and Structural Integrity",
  year="2017",
  volume="11",
  number="42",
  pages="128--135",
  doi="10.3221/IGF-ESIS.42.14",
  url="http://www.gruppofrattura.it/pdf/rivista/numero42/numero_42_art_14.pdf"
}

Documents

1936-6760-1-10-20180105