Coarse-grained fundamental forms for characterizing isometries of trapezoid-based origami metamaterials.

ABSTRACT: Investigations of origami tessellations as effective media reveal the ability to program the components of their elasticity tensor, and thus control the mechanical behavior of thin sheets. However, existing efforts focus on crease patterns that are composed of parallelogram faces where the parallel lines constrain the quasi-static elastic response. In this work, crease patterns composed of more general trapezoid faces are considered and their low-energy linear response is explored. Deformations of such origami tessellations are modeled as linear isometries that do not stretch individual panels at the small scale yet map to non-isometric changes of coarse-grained fundamental forms that quantify how the effective medium strains and curves at the large scale. Two distinct mode shapes, a rigid

SUBMITTER: McInerney JP 

PROVIDER: S-EPMC11842703 | biostudies-literature | 2025 Feb

REPOSITORIES: biostudies-literature