It is often useful to approximate certain materials as consisting of cells of identical material properties that are randomly oriented in space or with respect to a fixed axis. Examples of such materials are foams, polycrystals and chopped fiber composites, all of which may exhibit overall isotropy or may possess a preferred direction as a result of manufacturing/processing. The present manuscript briefly reviews previous work in the modeling and bounding of the effective moduli of such materials based on the stiffness/compliance matrices of the cells, and contributes new results for unconstrained 3D and 2D random-celled materials with fully unsymmetric cell stiffness matrices. An ex ample of such a material is a chopped fiber composite with phase debonding.
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