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UMBRELLA PHYSICS — NEW WINE IN AN OLD BOTTLE

Abstract

Surprisingly an umbrella turns out to be the most common form of mechanical metamaterial being used in every life long before the concept was even invented. Accordingly, previously reports on physics of an umbrella concentrate mainly on aerodynamic behaviors rather than its auxetic properties. To fill this knowledge gap, we report here the preliminary results of kinematics and dynamics of a mechanical metamaterial modeled by a simplified version of an umbrella composed of an auxetic structure constructed by only two pairs of ribs and stretchers. The implication of elucidating periodic mechanical properties of a mechanical metamaterial composed of 2D arrays of infinite numbers of the simplified umbrellas will also be discussed.

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