Pattern formation in the three-dimensional deformations of fibered sheets
Mechanics Research Communications, 2015•Elsevier
We simulate pattern formation in the deformations of a pantographic lattice using a model of
elastic surfaces that accounts for the geodesic bending of the constituent fibers. The theory
predicts an unusual arrangement of coexistent phases observed in an actual lattice,
manufactured by a 3D printing process, in which the fibers undergo part-wise uniform shears
separated by internal transition layers controlled by geodesic bending stiffness.
elastic surfaces that accounts for the geodesic bending of the constituent fibers. The theory
predicts an unusual arrangement of coexistent phases observed in an actual lattice,
manufactured by a 3D printing process, in which the fibers undergo part-wise uniform shears
separated by internal transition layers controlled by geodesic bending stiffness.
Abstract
We simulate pattern formation in the deformations of a pantographic lattice using a model of elastic surfaces that accounts for the geodesic bending of the constituent fibers. The theory predicts an unusual arrangement of coexistent phases observed in an actual lattice, manufactured by a 3D printing process, in which the fibers undergo part-wise uniform shears separated by internal transition layers controlled by geodesic bending stiffness.
Elsevier
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