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Journal Articles Mechanics Research Communications Year : 2015

Pattern formation in the three-dimensional deformations of fibered sheets

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.
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Dates and versions

hal-01194318 , version 1 (07-09-2015)

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Ivan Giorgio, Roman Grygoruk, Francesco Dell’isola, David J. Steigmann. Pattern formation in the three-dimensional deformations of fibered sheets. Mechanics Research Communications, 2015, 69, pp.164-171. ⟨10.1016/j.mechrescom.2015.08.005⟩. ⟨hal-01194318⟩
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