Publication detail

On the interaction of an array of collinear microcracks with periodic array of inclusions

PROFANT, T. KOTOUL, M.

Czech title

Interakce řady kolineárních mikrotrhlin s periodickou řadou inkluzí

English title

On the interaction of an array of collinear microcracks with periodic array of inclusions

Type

journal article - other

Language

en

Original abstract

There is investigated a crack problem for an array of collinear cracks in composite matrix with their tips allowing to terminate at inclusions interfaces. Inclusions are situated in between the neighbouring cracks tips and exhibit different elastic properties than matrix. The problem is solved using the technique of distributed dislocations and the Bueckner principle. First an approximate fundamental solution for a single dislocation lying in a general point between inclusions centres is developed. The Muschelishvili complex potentials and the Galerkin method for a numerical evaluation of coefficients of suitable chosen base functions are employed. Next the solution for a single dislocation is employed in the distribution of continuously distributed dislocation to cracks modelling.

Czech abstract

There is investigated a crack problem for an array of collinear cracks in composite matrix with their tips allowing to terminate at inclusions interfaces. Inclusions are situated in between the neighbouring cracks tips and exhibit different elastic properties than matrix. The problem is solved using the technique of distributed dislocations and the Bueckner principle. First an approximate fundamental solution for a single dislocation lying in a general point between inclusions centres is developed. The Muschelishvili complex potentials and the Galerkin method for a numerical evaluation of coefficients of suitable chosen base functions are employed. Next the solution for a single dislocation is employed in the distribution of continuously distributed dislocation to cracks modelling.

English abstract

There is investigated a crack problem for an array of collinear cracks in composite matrix with their tips allowing to terminate at inclusions interfaces. Inclusions are situated in between the neighbouring cracks tips and exhibit different elastic properties than matrix. The problem is solved using the technique of distributed dislocations and the Bueckner principle. First an approximate fundamental solution for a single dislocation lying in a general point between inclusions centres is developed. The Muschelishvili complex potentials and the Galerkin method for a numerical evaluation of coefficients of suitable chosen base functions are employed. Next the solution for a single dislocation is employed in the distribution of continuously distributed dislocation to cracks modelling.

Keywords in Czech

Spojitě rozdělené dislokace, interakce trhlina – inkluze, částicové kompozity

Keywords in English

particle composites, continuously distributed dislocations, cracks-inclusions interactions

RIV year

2003

Released

01.01.2003

ISSN

1013-9826

Journal

Key Engineering Materials

Volume

251

Number

8

Pages count

6

BIBTEX


@article{BUT41550,
  author="Tomáš {Profant} and Michal {Kotoul},
  title="On the interaction of an array of collinear microcracks with periodic array of inclusions",
  journal="Key Engineering Materials",
  year="2003",
  volume="251",
  number="8",
  month="January",
  issn="1013-9826"
}