%0 Journal Article %A Buryachenko, Valeriy A. %A Kushch, V. I. %D 2006 %I Begell House %N 5-6 %P 733-754 %R 10.1615/IntJMultCompEng.v4.i5-6.90 %T Statistical Properties of Local Residual Microstresses in Elastically Homogeneous Composite Half-Space %U https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,1b4adbb73e2792e0,59f7ace663db3479.html %V 4 %X 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. %8 2007-02-08