Engineering Mechanics

Proceedings Vol. 9 (2003)

ENGINEERING MECHANICS 2003

Copyright © 2003 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Profant T., Kotoul M.
pages 278 - +10p., full text

Crack problem for an array of collinear cracks in composite matrix, where the cracks tips may terminate at the interfaces of inclusions with the different elastic properties then the matrix, is investigated. In the first part an approximative fundamental solution for a single dislocation lying in a general point between two inclusions is developed. Here, the technique of Muschelischvili complex potentials, which are approximated by suitable base functions, is employed. The Galerkin method for a numerical evaluation of the coefficients of base functions is used. In the second part the solution for a single dislocation between two inclusions is employed in the problem of the array of collinear cracks separated by the array of inclusions. The distribution of continuously distributed dislocations is used for each crack modelling. The Bueckner principle and the periodicity allow investigating the solution of a singular integral equation, in which the problem is converted. The integral equation is solved using the numerical principles founded on the properties of the orthogonal polynomials.

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