A Review on Models for the 3D Statics and 2D Dynamics of Pantographic Fabrics

A review on models for the statics of out-of-plane deformable panto- 1 graphic fabrics 2 is presented, along with amodel describing the dynamics of in-plane3 only deformable pantographic fabrics. We discuss those models able to describe 4 the mechanical exotic properties conferred by the peculiar microstructure possessed 5 by pantographic metamaterials, when three-dimensional deformations and in-plane 6 dynamics are separately involved. For each approach, model formulation and mod7 elling assumptions are discussed along with the presentation of numerical solutions 8 in exemplary cases, and no attempt ismade tomodel damage and failure phenomena.