Publication result detail

On the Energy Release Rate of the Crack Emanating from the Inclusion Interphase

PROFANT, T.; HRSTKA, M.; KLUSÁK, J.; KERŠNER, Z.

Original Title

On the Energy Release Rate of the Crack Emanating from the Inclusion Interphase

English Title

On the Energy Release Rate of the Crack Emanating from the Inclusion Interphase

Type

Paper in proceedings (conference paper)

Original Abstract

The problem of the crack emanating from the interphase region of the circular inclusion is investigated. The problem combines an application of dislocation distribution technique for a crack modelling and the method of boundary integral equations to approximate the loading along the boundary of the domain containing an inclusion. The topological derivative method provides the combination of both approaches and results to the evaluation of the energy release rate of the arbitrary oriented microcrack emanating from the inclusion and matrix interphase. The fundamental solution intended to the boundary integral method such as the continuously distributed dislocation technique is based on the application of Muschelishvili complex potentials in the form of the Laurent series. The coefficients of the series are evaluated from the compatibility conditions along the interfaces of inclusion, interface and matrix.

English abstract

The problem of the crack emanating from the interphase region of the circular inclusion is investigated. The problem combines an application of dislocation distribution technique for a crack modelling and the method of boundary integral equations to approximate the loading along the boundary of the domain containing an inclusion. The topological derivative method provides the combination of both approaches and results to the evaluation of the energy release rate of the arbitrary oriented microcrack emanating from the inclusion and matrix interphase. The fundamental solution intended to the boundary integral method such as the continuously distributed dislocation technique is based on the application of Muschelishvili complex potentials in the form of the Laurent series. The coefficients of the series are evaluated from the compatibility conditions along the interfaces of inclusion, interface and matrix.

Keywords

Microcrack; Inclusion; Interphase; Singular integral equation; Dislocation distribution technique; Complex potentials

Key words in English

Microcrack; Inclusion; Interphase; Singular integral equation; Dislocation distribution technique; Complex potentials

Authors

PROFANT, T.; HRSTKA, M.; KLUSÁK, J.; KERŠNER, Z.

RIV year

2018

Released

15.05.2017

Publisher

ACAD SCI CZECH REPUBLIC, INST THERMOMECHANICS

Location

Dolejškova 5, Prague 8, 182 00, Czech Republic

ISBN

978-80-214-5497-2

Book

ENGINEERING MECHANICS 2017

ISBN

1805-8248

Periodical

Engineering Mechanics

Volume

23

Number

1

State

Czech Republic

Pages from

806

Pages to

809

Pages count

4

URL

https://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=6&SID=Q247oDuSfKavIwVSlmX&page=1&doc=3

BibTex

@inproceedings{BUT140861,
  author="Tomáš {Profant} and Miroslav {Hrstka} and Jan {Klusák} and Zbyněk {Keršner}",
  title="On the Energy Release Rate of the Crack Emanating from the Inclusion Interphase",
  booktitle="ENGINEERING MECHANICS 2017",
  year="2017",
  journal="Engineering Mechanics",
  volume="23",
  number="1",
  pages="806--809",
  publisher="ACAD SCI CZECH REPUBLIC, INST THERMOMECHANICS",
  address="Dolejškova 5, Prague 8, 182 00, Czech Republic",
  isbn="978-80-214-5497-2",
  issn="1805-8248",
  url="https://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=6&SID=Q247oDuSfKavIwVSlmX&page=1&doc=3"
}