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.File | Dimensione | Formato | |
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