Summary
It is assumed that the materials considered consist of a large number of small elements so that on a macroscopic scale the behaviour approaches that of homogeneous continuous media. Assuming that the small elements follow prescribed strains it is possible to find an expression for the specific energy from which the average elastic constants can be derived.
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Kuipers, M. Note on the macroscopic elastic constants of materials with a foam-like structure. Appl. sci. Res. 13, 138–143 (1964). https://doi.org/10.1007/BF00382041
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DOI: https://doi.org/10.1007/BF00382041