Computational Design of Laser-Cut Bending-Active Structures

58‐2: Structurally Anisotropic Backing Sheets for Rollable‐Foldable Display Modules

“…A recent paper describes FEA of M-plate geometry using a metamaterials two-scale approach somewhat similar to correction factors for uniform perf. [11] However, no closed-form equations for M-plates were found, so they were derived here based on bending and torsion of slender beams of length H-C. [14,15] Table 2 contains the full set of closed-form non-dimensional stiffness equations for our 12 cases of interest. The non-dimensional stiffness k □ for in-plane forces is based on the observation that for a given modulus E and sheet thickness T, any square sheet has the same in-plane stiffness.…”

Computational Homogenization for Inverse Design of Surface-based Inflatables

“…Homogenization. Many works in graphics and computational fabrication have employed homogenization to accelerate elasticity simulations [Chan-Lock et al 2022;Chen et al 2015;Kharevych et al 2009;Sperl et al 2020] and rigid-body simulation [Tang et al 2023], and to design volumetric [Chen et al 2018;Panetta et al 2017Panetta et al , 2015Schumacher et al 2015], sheet Martínez et al 2019;Schumacher et al 2018;Tozoni et al 2020;Zhang et al 2023a] and ribbon [Rodriguez et al 2022] metamaterials. To our knowledge, we are the first to develop a periodic homogenization technique for analyzing the contraction and the bending and stretching stiffnesses of inflated pattern tilings.…”