4.0 Article

Buckling modes in pantographic lattices

Journal

COMPTES RENDUS MECANIQUE
Volume 344, Issue 7, Pages 487-501

Publisher

ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crme.2016.02.009

Keywords

Pantographic structures; Buckling; Second gradient models; Geodesic bending; Non-linear elasticity

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We study buckling patterns in pantographic sheets, regarded as two-dimensional continua consisting of lattices of continuously distributed fibers. The fibers are modeled as beams endowed with elastic resistance to stretching, shearing, bending and twist. Included in the theory is a non-standard elasticity due to geodesic bending of the fibers relative to the lattice surface. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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