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A method for homogenization of an elastic composite with periodic microstructure is presented, focusing on the Floquet-type elastic waves. The resulting homogenized frequency-dependent elasticity and mass density then automatically satisfy the overall conservation laws and by necessity produce the exact dispersion relations. It is also shown that the(More)
All metamaterial applications are based upon the idea that extreme material properties can be achieved through appropriate dynamic homogenization of composites. This homogenization is almost always done for infinite domains and the results are then applied to finite samples. This process ignores the evanescent waves which appear at the boundaries of such(More)
the Doctoral Committee members (all six of them present!). for 31 years (1974-2005), and who duly served this great public institution with affection. In remembering Dr. Brown, I take as my epitaph the meaning of " Outliers " from the book by Malcom Gladwell titled Outliers: The Story of Success (2008). Gladwell holds that: " Outliers " —a noun, has two(More)
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