Abstract:
The stochastic boundary-value problem of elasticity theory for two-phase polydisperse composites is stated. The solution method with using high order moment functions is described. Algorithm of synthesis of n-order moment functions for 3D structures is presented. Approximating expression for moment functions is suggested. Examples of calculation of high-order moment functions for polydisperse structures are given.
Keywords:
composites, moment functions, random polydisperse structure, 3D models, boundary-value problem, approximation.
Original article submitted 25/III/2011 revision submitted – 16/V/2011
Citation:
M. A. Tashkinov, “Multipoint moment functions of structural properties for polydisperse composites”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011), 74–82
\Bibitem{Tas11}
\by M.~A.~Tashkinov
\paper Multipoint moment functions of structural properties for polydisperse composites
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 2(23)
\pages 74--82
\mathnet{http://mi.mathnet.ru/vsgtu942}
\crossref{https://doi.org/10.14498/vsgtu942}
Linking options:
https://www.mathnet.ru/eng/vsgtu942
https://www.mathnet.ru/eng/vsgtu/v123/p74
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