Derivation of an effective plate theory for parallelogram origami from bar and hinge elasticity

Xu, Hu; Tobasco, Ian; Plucinsky, Paul

doi:10.1016/j.jmps.2024.105832

Journal of the Mechanics and Physics of Solids

2024

DOI: 10.1016/j.jmps.2024.105832

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Derivation of an effective plate theory for parallelogram origami from bar and hinge elasticity

Hu Xu,

Ian Tobasco,

Paul Plucinsky

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2024

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How periodic surfaces bend

Nassar

2024

Phil. Trans. R. Soc. A.

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A periodic surface is one that is invariant by a two-dimensional lattice of translations. Deformation modes that stretch the lattice without stretching the surface are effective membrane modes. Deformation modes that bend the lattice without stretching the surface are effective bending modes. For periodic piecewise smooth simply connected surfaces, it is shown that the effective membrane modes are, in a sense, orthogonal to effective bending modes. This means that if a surface gains a membrane mode, it loses a bending mode, and conversely, in such a way that the total number of modes, membrane and bending combined, can never exceed 3. Various examples, inspired from curved-crease origami tessellations, illustrate the results. This article is part of the theme issue ‘Origami/Kirigami-inspired structures: from fundamentals to applications’.

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How periodic surfaces bend

Nassar

2024

Phil. Trans. R. Soc. A.

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show abstract

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Derivation of an effective plate theory for parallelogram origami from bar and hinge elasticity

Cited by 1 publication

References 62 publications

How periodic surfaces bend

How periodic surfaces bend

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