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Can a Hencky-Type Model Predict the Mechanical Behaviour of Pantographic Lattices?

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Mathematical Modelling in Solid Mechanics

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 69))

Abstract

Current research in metamaterials design is pushing to fill the gap between mathematical modeling and technological applications. To meet these requirements, predictive and computationally effective numerical tools need to be conceived and applied. In this paper we compare the performances of a discrete model already presented in [1], strongly influenced by Hencky approach [2], versus some interesting experiments on pantographic structures built using the 3D printing technology. The interest in these structures resides in the exotic behavior that they have already shown, see [3, 4], and their study seems promising. In this work, after a brief presentation of the discrete model, we discuss the results of three experiments and compare them with the corresponding predictions obtained by the numerical simulations. An in-depth discussion of the numerical results reveals the robustness of the numerical model but also clearly indicates which are the focal points that strongly influence the accuracy of the numerical simulation.

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Authors and Affiliations

  1. Department of Architecture, Design and Urban Planning, via Garibaldi 35, Alghero, Italy

    Emilio Turco

  2. DCEBM, Warsaw University of Technology, Warsaw, Poland

    Maciej Golaszewski

  3. MeMoCS, International Research Center for the Mathematics and Mechanics of Complex Systems, Università dell’Aquila, L’Aquila, Italy

    Ivan Giorgio

  4. Faculty of Engineering, International Telematic University Uninettuno, Rome, Italy

    Luca Placidi

Authors
  1. Emilio Turco
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  2. Maciej Golaszewski
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  3. Ivan Giorgio
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  4. Luca Placidi
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Correspondence to Luca Placidi .

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Editors and Affiliations

  1. Università di Roma "La Sapienza" , Roma, Italy

    Francesco dell'Isola

  2. Université de Perpignan Via Domitia, LAboratoire de Mathématiques et PhySique Université de Perpignan Via Domitia, Perpignan, France

    Mircea Sofonea

  3. Dept Mechanical Engineering, UC Berkeley Dept Mechanical Engineering, Berkeley, California, USA

    David Steigmann

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Turco, E., Golaszewski, M., Giorgio, I., Placidi, L. (2017). Can a Hencky-Type Model Predict the Mechanical Behaviour of Pantographic Lattices?. In: dell'Isola, F., Sofonea, M., Steigmann, D. (eds) Mathematical Modelling in Solid Mechanics. Advanced Structured Materials, vol 69. Springer, Singapore. https://doi.org/10.1007/978-981-10-3764-1_18

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