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International Journal for Multiscale Computational Engineering
Fator do impacto: 1.016 FI de cinco anos: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimir: 1543-1649
ISSN On-line: 1940-4352

International Journal for Multiscale Computational Engineering

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

Statistical Properties of Local Residual Microstresses in Elastically Homogeneous Composite Half-Space

Valeriy A. Buryachenko
Civil Engineering Department, University of Akron, Akron, Ohio 44325-3901, USA and Micromechanics and Composites LLC, 2520 Hingham Lane, Dayton, Ohio 45459, USA
V. I. Kushch
Institute for Superhard Materials of the National Academy of Sciences, 04074 Kiev, Ukraine

RESUMO

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.


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