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Titlebook: Micromechanics of Heterogeneous Materials; Valeriy A. Buryachenko Book 2007 Springer-Verlag US 2007 composite material.composite materials

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Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Composites,lization of the infinite system of integral equations under arbitrary choice of comparison medium. In Section 8.2 the MEFM is proposed for the estimation of effective properties (such as compliance, thermal expansion, stored energy) and the first statistical moments of stresses in the components und
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Some Related Methods in Micromechanics of Random Structure Composites,the MEFM includes, as particular cases the well-known methods of mechanics of strongly heterogeneous media (such as the effective medium and differential methods and some others, see Section 9.4). Finally, in Section 9.5 we employ the proposed explicit representations and some related ones for numer
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Generalization of the MEFM in Random Structure Matrix Composites,tion by the volume integral equation (VIE) method of the problem for two inclusions in an infinite medium, subjected to the homogeneous effective field. The iteration the VIE method used is a standard iteration method of the solution of the Fredholm integral equation of the second order involved whi
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Nonlocal Effects in Statistically Homogeneous and Inhomogeneous Random Structure composites,peaking the separation of the external and internal scales takes place), the material macroscopically behaves as a homogeneous body with some effective moduli which can be estimated by different methods referred to earlier. If the condition of the separation of scales summarized earlier is not valid
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Stress Fluctuations in Random Structure Composites,atistical description of the local strains and stresses, such as their statistical moments of different order in each phase and at interphase. Estimation of these local fields are extremely useful for understanding the evolution of nonlinear phenomena such as plasticity, creep, and damage. When one
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Random Structure Matrix Composites in a Half-Space,resented for the matrix composites with an arbitrary elastic and thermal mismatch of constituents in a half-space. At the end of the chapter following [153], a generalization of the method of integral equations [136] (see Section 14.3) is proposed for the estimation of the first and second moments o
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