Extreme Cosserat elastic hinged lattices with Sarrus links

Abstract Hinged lattices are envisaged with Sarrus linkages in the ribs and with rigid nodes where the ribs intersect. Triangulated lattices with Sarrus hinged ribs only deform volumetrically and have a Poisson’s ratio of −1. Lattices containing squares and hexagons can deform axially as well as volumetrically. All the lattices are compliant with respect to tension and compression and rigid with respect to bending. The lattices exhibit extreme Cosserat elasticity corresponding to rotational elasticity.