Detail publikace

Microcrack interaction with circular inclusion and interfacial zone

PROFANT, T. HRSTKA, M. KLUSÁK, J.

Originální název

Microcrack interaction with circular inclusion and interfacial zone

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

PROFANT, T.; HRSTKA, M.; KLUSÁK, J.

Vydáno

4. 1. 2019

Nakladatel

Gruppo Italiano Frattura

Místo

Cassino, Itálie

ISSN

1971-8993

Periodikum

Frattura ed Integrita Strutturale

Ročník

13

Číslo

48

Stát

Italská republika

Strany od

503

Strany do

512

Strany počet

10

URL

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

Plný text v Digitální knihovně

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"
}