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

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Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 59))

Abstract

A review on models for the statics of out-of-plane deformable pantographic fabrics is presented, along with a model describing the dynamics of in-plane-only deformable pantographic fabrics. We discuss those models able to describe the mechanical exotic properties conferred by the peculiar microstructure possessed by pantographic metamaterials, when three-dimensional deformations and in-plane dynamics are separately involved. For each approach, model formulation and modelling assumptions are discussed along with the presentation of numerical solutions in exemplary cases, and no attempt is made to model damage and failure phenomena.

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Authors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Universitá di Roma La Sapienza, Rome, Italy

    Emilio Barchiesi

  2. International Telematic University Uninettuno, C.so Vittorio Emanuele II, 39 00186, Rome, Italy

    Luca Placidi

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  1. Emilio Barchiesi
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  2. Luca Placidi
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Correspondence to Luca Placidi .

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  1. Insti. for Math., Mech. and Comp. Sci., Southern Federal University Insti. for Math., Mech. and Comp. Sci., Rostov-on-Don, Russia

    Mezhlum A. Sumbatyan

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Barchiesi, E., Placidi, L. (2017). A Review on Models for the 3D Statics and 2D Dynamics of Pantographic Fabrics. In: Sumbatyan, M. (eds) Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials . Advanced Structured Materials, vol 59. Springer, Singapore. https://doi.org/10.1007/978-981-10-3797-9_14

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  • DOI: https://doi.org/10.1007/978-981-10-3797-9_14

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