94 research outputs found
Bending of thin periodic plates
We show that nonlinearly elastic plates of thickness with an
-periodic structure such that exhibit
non-standard behaviour in the asymptotic two-dimensional reduction from
three-dimensional elasticity: in general, their effective stored-energy density
is "discontinuously anisotropic" in all directions. The proof relies on a new
result concerning an additional isometric constraint that deformation fields
must satisfy on the microscale.Comment: 35 page
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