Nonlinear mechanics of non-rigid origami: an efficient computational approach

DOI10.1098/rspa.2017.0348zbMath1404.74105OpenAlexW2761692676WikidataQ53508581 ScholiaQ53508581MaRDI QIDQ4646873

Ke Liu, Glaucio H. Paulino

Publication date: 28 December 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2017.0348

zbMATH Keywords

origamilarge deformationnonlinear analysislarge displacementelastic deformationsbar-and-hinge model

Mathematics Subject Classification ID

Thin films (74K35)

Related Items (8)

Multi-stable design of triangulated origami structures on cones of revolution ⋮ Computer modelling of origami-like structures made of light activated shape memory polymers ⋮ Effective linear wave motion in periodic origami structures ⋮ Nonlinear dynamics of origami metamaterials: energetic discrete approach accounting for bending and in-plane deformation of facets ⋮ Discrete differential geometry and its role in computational modeling of defects and inelasticity ⋮ Anisotropy and asymmetry of the elastic tensor of lattice materials ⋮ An efficient numerical approach for simulating contact in origami assemblages ⋮ Big influence of small random imperfections in origami-based metamaterials

Uses Software

• MASTAN

Cites Work

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• Computation of kinematic paths and bifurcation points
• Modelling the folding of paper into three dimensions using affine transformations
• Stress focusing in elastic sheets
• Shell structures-a sensitive interrelation between physics and numerics
• Modelling rigid origami with quaternions and dual quaternions
• The Poisson Function of Finite Elasticity
• A systematic development of ‘solid-shell’ element formulations for linear and non-linear analyses employing only displacement degrees of freedom
• Asymptotics of the effective conductivity of composites with closely spaced inclusions of optimal shape
• The Folding of Triangulated Cylinders, Part I: Geometric Considerations
• Origami tubes with reconfigurable polygonal cross-sections
• Nonlinear Continuum Mechanics for Finite Element Analysis

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