Publication detail

Estimation of the crack propagation direction in a mixed-mode geometry via multi-parameter fracture criteria

MALÍKOVÁ, L. VESELÝ, V. SEITL, S.

Original Title

Estimation of the crack propagation direction in a mixed-mode geometry via multi-parameter fracture criteria

Type

journal article in Web of Science

Language

English

Original Abstract

The presented work introduces a numerical parametric study on the crack propagation direction under mixed-mode conditions (mode I + II). It is conducted for the geometry of an eccentric asymmetric four-point bending of a single edge notched beam specimen; various levels of mode-mixity are ensured by modifications in the crack length and crack eccentricity. The direction of crack propagation is estimated semi-analytically using both the maximum tangential stress criterion and the strain energy density criterion (implemented as a procedure within the used finite element computational code) as well as numerically (from verification reasons). Multi-parameter fracture mechanics is employed in the presented work for precise analytical evaluation of the stress field in the cracked specimen. This theory is based on description of the stress and deformation fields in the cracked body by means of their approximation using several initial terms of the Williams power series. Recent studies show that utilization of only first term of the series, which corresponds to the stress intensity factor (SIF), the single controlling parameter for the crack initiation and propagation assessment in brittle materials, is insufficient in many crack problems. It appears also in this study that the higher-order terms of the asymptotic crack-tip field are of great relevance for the conducted analysis, similarly to a number of other fracture phenomena (near-crack-tip stress field approximation, non-linear zone extent estimation, etc.).

Keywords

Near-crack tip fields, Williams series, crack propagation direction, multi-parameter fracture criteria, finite element analysis

Authors

MALÍKOVÁ, L.; VESELÝ, V.; SEITL, S.

RIV year

2015

Released

15. 8. 2015

Publisher

Gruppo Italiano Frattura

ISBN

1971-8993

Periodical

Frattura ed Integrita Strutturale

Year of study

9

Number

33

State

Republic of Italy

Pages from

25

Pages to

32

Pages count

8

URL

http://www.gruppofrattura.it/pdf/rivista/numero33/numero_33_art_4.pdf

Full text in the Digital Library

http://hdl.handle.net/11012/180634

BibTex

@article{BUT120841,
  author="Lucie {Malíková} and Václav {Veselý} and Stanislav {Seitl}",
  title="Estimation of the crack propagation direction in a mixed-mode geometry via multi-parameter fracture criteria",
  journal="Frattura ed Integrita Strutturale",
  year="2015",
  volume="9",
  number="33",
  pages="25--32",
  doi="10.3221/IGF-ESIS.33.04",
  issn="1971-8993",
  url="http://www.gruppofrattura.it/pdf/rivista/numero33/numero_33_art_4.pdf"
}