International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

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2006, Volume4

Issue 5-6

271 pages

DOI: 10.1615/IntJMultCompEng.v4.i5-6

Issue price - $256.00

Valerliy Buryachenko, DSc
University of Dayton Research Institute, 300 College Park, Dayton, OH 45469-0168, USA

V. I. Kushch
Institute for Superhard Materials of the National Academy of Sciences, 04074 Kiev, Ukraine

We consider a linear elastic homogeneous composite half-space, which consists of a homogeneous matrix containing a random array of inclusions. The elastic properties of the matrix and the inclusions are the same, but the stress-free strains are different. A method of integral equations is proposed for the estimation of the first and second moments of residual microstresses in the constituents of elastically homogeneous composites in a half-space with a free edge. Explicit relations for these statistical moments are obtained using a modified superposition technique and taking the binary interactions of the inclusions into account, which is expressed through the numerical solution for one inclusion in the half-space. The statistical averages of stress fluctuations varying along the inclusion cross sections are completely defined by the random locations of surrounding inclusions. The numerical results are presented for a half-plane containing random distribution of circular identical inclusions. The solution for one inclusion in the half-plane is obtained by the method of complex potential.

DOI: 10.1615/IntJMultCompEng.v4.i5-6.90 Download article, 733-754 pages

Article price - $35.00

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