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.

Pattern formation in the three-dimensional deformations of fibered sheets / Giorgio, Ivan; Grygoruk, Roman; Dell'Isola, Francesco; Steigmann, David John. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - STAMPA. - 69:(2015), pp. 164-171. [10.1016/j.mechrescom.2015.08.005]

Pattern formation in the three-dimensional deformations of fibered sheets

GIORGIO, IVAN
;
DELL'ISOLA, Francesco;
2015

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.
2015
Elastic surface theory; Strain gradients; Woven fabrics; Condensed Matter Physics; Mechanical Engineering; Civil and Structural Engineering; Mechanics of Materials; Materials Science (all)
01 Pubblicazione su rivista::01a Articolo in rivista
Pattern formation in the three-dimensional deformations of fibered sheets / Giorgio, Ivan; Grygoruk, Roman; Dell'Isola, Francesco; Steigmann, David John. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - STAMPA. - 69:(2015), pp. 164-171. [10.1016/j.mechrescom.2015.08.005]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/801206
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