Nonlocal Effects in Statistically Homogeneous and Inhomogeneous Random Structure composites

When the statistical average stress in a composite medium varies sufficiently slowly compared to the size scale of the microstructure (i.e., roughly speaking 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, the material’s response cannot be adequately described in the framework of the local theory of elasticity for the homogeneous medium.


Radial Distribution Function Homogeneous Medium Quadrature Method Qualitative Comparative Analysis Conditional Probability Density 
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© Springer Science+Business Media, LLC 2007

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