Question

Auxetic materials are metamaterials with negative values of this property, which are often designed as lattices of polygonal cells. For 10 points each:
[10m] Give this mechanical property. Materials with negative values of this property can be used to create one-size-fits-all clothing, since they get longer and wider when they are stretched.
ANSWER: Poisson’s ratio [or Poisson ratio; accept negative Poisson’s ratio]
[10h] One of the most-studied 2D auxetic structures is the “re-entrant” variant of these structures. These structures name the lattice used in the Kitaev model of quantum spin liquids.
ANSWER: honeycombs [accept re-entrant honeycomb or honeycomb lattice]
[10e] Poisson’s ratio is defined as the negative ratio of this quantity along the transverse and axial directions. This quantity is the proportional deformation of a material under an applied stress.
ANSWER: strain [accept axial strain or transverse strain]
<Physics>

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Brandeis BBoston University0000
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Dartmouth ABrown A0000