Publication detail

On collinear microcrack-inclusion arrays interaction and related problems

T.PROFANT, M.KOTOUL

Czech title

O interakci kolineárních mikrotrhlin a částic a některých souvisejících problémech

English title

On collinear microcrack-inclusion arrays interaction and related problems

Type

journal article - other

Language

en

Original abstract

Investigated is a crack problem for an array of collinear microcracks in composite matrix. Inclusions are situated in between the neighbouring microcracks tips and exhibit different elastic properties than matrix. The problem is solved using the technique of distributed dislocations. A developed approximate solution for a single dislocation lying in a general point between inclusions is employed in the distribution of continuously distributed dislocation to cracks modelling . Stress intensity factor is calculated for various cracks/inclusions geometries and elastic moduli mismatches. Stability and/or instability of the straight microcrack paths is investigated for slowly growing microcracks with inclusions located in between the neighbouring microcracks tips. Applications to periodic microcrack tunnelling and microcracks weakening ahead of the main crack are discussed.

Czech abstract

Je vyšetřován problém interakce kolineárních trhlin a inkluzí v křehké matrici. Problém je řešen pomocí techniky spojitě rozložených dislokací. Součinitel intenzity napětí je vypočten pro různá uspořádání mikrotrhlin a inkluzí a pro různé kombinace elastických konstant. Stabilita, případně nestabilita trajektorií pomalu rostoucích mikrotrhlin je vyšetřována s ohledem na vliv inkluzí. Jsou diskutovány některé aplikace týkající se tunelování periodicky rozmístěných mikrotrhlin a oslabení matrice mikrotrhlinami před magistrální trhlinou.

English abstract

Investigated is a crack problem for an array of collinear microcracks in composite matrix. Inclusions are situated in between the neighbouring microcracks tips and exhibit different elastic properties than matrix. The problem is solved using the technique of distributed dislocations. A developed approximate solution for a single dislocation lying in a general point between inclusions is employed in the distribution of continuously distributed dislocation to cracks modelling . Stress intensity factor is calculated for various cracks/inclusions geometries and elastic moduli mismatches. Stability and/or instability of the straight microcrack paths is investigated for slowly growing microcracks with inclusions located in between the neighbouring microcracks tips. Applications to periodic microcrack tunnelling and microcracks weakening ahead of the main crack are discussed.

Keywords in Czech

collinear microcracks, crack interaction, inclusion

Keywords in English

collinear microcracks, crack interaction, inclusion

RIV year

2005

Released

01.01.2005

ISSN

0167-8442

Journal

Theoretical and Applied Fracture Mechanics

Volume

44

Number

11

Pages count

32

BIBTEX


@article{BUT46112,
  author="Tomáš {Profant} and Michal {Kotoul},
  title="On collinear microcrack-inclusion arrays interaction and related problems",
  journal="Theoretical and Applied Fracture Mechanics",
  year="2005",
  volume="44",
  number="11",
  month="January",
  issn="0167-8442"
}