Periodic Structures and Periodic Structures with Random Imperfections

In many problems the material may possess a periodic microstructure formed by the spatial repetition of small microstructures, or unit cells. The periodic structure of composites is very attractive because it provides an estimation of interaction effects for an infinite number of inclusions. This interaction greatly influences composite elastic properties, especially for strongly heterogeneous materials with a high inclusion concentration. The periodicity of structures offers the possibility of finding an analytical (or numerical) solution of the corresponding periodic boundary-value problem with controlled accuracy.


Periodic Structure Representative Volume Element Stress Intensity Factor Rigid Inclusion Nonlocal Parameter 
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© Springer Science+Business Media, LLC 2007

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