Publication detail

Microcrack interaction with circular inclusion and interfacial zone

PROFANT, T. HRSTKA, M. KLUSÁK, J.

Original Title

Microcrack interaction with circular inclusion and interfacial zone

Type

journal article in Web of Science

Language

English

Original Abstract

A geometrically simplified plane elasticity problem of a finitesmall crack emanating from a thin interfacial zone surrounding the circularinclusion situated in the finite bounded domain is investigated. The crack isarbitrarily oriented and modelled using the distribution dislocation technique.This model represents the inner solution of the studied problem. Thecorresponding fundamental solution is based on the application ofMuskhelishvili complex potentials in the form of the Laurent series. Thecoefficients of the series are evaluated from the compatibility conditionsalong the interfaces of the inclusion, the interfacial zone and the enclosingmatrix. The fundamental solution is also used in the solution of the boundaryintegral method approximating the stress and strain relations of the so-calledouter solution. The asymptotic analysis at the point of the crack initiationcombines the inner and the outer solution and results in the evaluation of thestress intensity factors of the crack tip, which lies in the matrix. Thetopological derivative is subsequently used to approximate the energy releaserate field associated with the perturbing crack in the matrix. The extremevalues of the energy release rate allow one to assess the crack path directionof the initiated microcrack.

Keywords

Crack path assessment; Complex potentials; Interfacial zone;Circular inclusion; Fundamental solution; Topological derivative

Authors

PROFANT, T.; HRSTKA, M.; KLUSÁK, J.

Released

4. 1. 2019

Publisher

Gruppo Italiano Frattura

Location

Cassino, Itálie

ISBN

1971-8993

Periodical

Frattura ed Integrita Strutturale

Year of study

13

Number

48

State

Republic of Italy

Pages from

503

Pages to

512

Pages count

10

URL

https://www.fracturae.com/index.php/fis/article/view/2297/2443

Full text in the Digital Library

http://hdl.handle.net/11012/180641

BibTex

@article{BUT155985,
  author="Tomáš {Profant} and Miroslav {Hrstka} and Jan {Klusák}",
  title="Microcrack interaction with circular inclusion and interfacial zone",
  journal="Frattura ed Integrita Strutturale",
  year="2019",
  volume="13",
  number="48",
  pages="503--512",
  doi="10.3221/IGF-ESIS.48.48",
  issn="1971-8993",
  url="https://www.fracturae.com/index.php/fis/article/view/2297/2443"
}