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Advances in pantographic structures: design, manufacturing, models, experiments and image analyses

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Abstract

In the last decade, the exotic properties of pantographic metamaterials have been investigated and different mathematical models (both discrete or continuous) have been introduced. In a previous publication, a large part of the already existing literature about pantographic metamaterials has been presented. In this paper, we give some details about the next generation of research in this field. We present an organic scheme of the whole process of design, fabrication, experiments, models and image analyses.

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Acknowledgements

Francesco dell’Isola and Leonid Igumnov have received funding from the Government of the Russian Federation (Contract No. 14.Y26.31.0031). Mario Spagnuolo has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No 665850. Anil Misra is funded by United States National Science Foundation (NSF) Grant CMMI-1727433. Christian Hesch gratefully acknowledges the support of the Deutsche Forschungsgemeinschaft (DFG) under Grant HE5943/8-1 and DI2306/1-1. Sofia Hesch gratefully acknowledges the help of Heiko Bendler at the Institute of Mechanics at the Karlsruhe Institute of Technology (KIT) to perform the experimental investigations on organic sheets. Sofia Hesch also thanks Tamara Reinicke for supporting the investigations at the Chair of Product Development at the University of Siegen.

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Authors and Affiliations

  1. International Research Center M&MoCS, Università degli Studi dell’Aquila, L’Aquila, Italy

    Francesco dell’Isola, Mario Spagnuolo, Emilio Barchiesi, Ivan Giorgio, Luca Placidi, Francesco D’Annibale, Daria Scerrato & Marco Laudato

  2. Dipartimento di Ingegneria Civile, Edile-Architettura e Ambientale, Università degli Studi dell’Aquila, L’Aquila, Italy

    Francesco dell’Isola

  3. Research Institute for Mechanics, National Research Lobachevsky State University of Nizhni Novgorod, Nizhny Novgorod, Russia

    Francesco dell’Isola & Leonid Igumnov

  4. NAAM Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Francesco dell’Isola, Faris Alzahrani & Tasawar Hayat

  5. Institut de Mathématiques de Toulon, Université de Toulon, Toulon, France

    Pierre Seppecher

  6. CNRS, LSPM UPR3407, Université Paris 13, Sorbonne Paris Cité, 93430, Villetaneuse, France

    Mario Spagnuolo & Patrick Franciosi

  7. Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli Studi di Roma “La Sapienza”, Rome, Italy

    Emilio Barchiesi, Ivan Giorgio & Ugo Andreaus

  8. Laboratoire de Mécanique et Technologie (LMT), ENS Paris-Saclay/CNRS/Université Paris-Saclay, 61 avenue du Président Wilson, 94235, Cachan Cedex, France

    François Hild, Amine Bouterf & Xavier Pinelli

  9. Faculty of Production Engineering, Warsaw University of Technology, Narbutta 85, 02-524, Warsaw, Poland

    Tomasz Lekszycki

  10. International Telematic University Uninettuno, Rome, Italy

    Luca Placidi

  11. Dipartimento di Ingegneria Civile e Architettura (DICAR), Università degli Studi di Catania, Catania, Italy

    Massimo Cuomo

  12. Institute for Nonlinear Mechanics, University of Stuttgart, Stuttgart, Germany

    Simon R. Eugster

  13. Fraunhofer Institute for High-Speed Dynamics, Ernst-Mach-Institut, EMI, Ernst-Zermelo-Str. 4, 79104, Freiburg, Germany

    Aron Pfaff, Klaus Hoschke & Ralph Langkemper

  14. Department of Architecture, Design and Urban Planning (DADU), University of Sassari, Alghero, Italy

    Emilio Turco

  15. Mechanical Engineering (ME), The University of Kansas, Lawrence, KS, USA

    Rizacan Sarikaya

  16. Blue Valley High School, 6001 159th St, Stilwell, KS, USA

    Aviral Misra

  17. Dipartimento di Ingegneria Civile, Edile Architettura e Ambientale (DICEAA), Università degli Studi dell’Aquila, L’Aquila, Italy

    Michele De Angelo

  18. Civil, Environmental and Architectural Engineering Department, University of Kansas, Lawrence, KS, United States

    Anil Misra

  19. UMPC Université Paris 06, CNRS, UMR 7190, Institut d’Alembert, Sorbonne Université, Paris Cedex 05, France

    Boris Desmorat

  20. Université Paris Sud 11, Orsay, France

    Boris Desmorat

  21. Department of Machinery Design and Biomedical Engineering, Institute of Mechanics and Printing Technology, Warsaw University of Technology, Warsaw, Poland

    Marek Pawlikowski & Rafał Drobnicki

  22. Laboratoire PIMM, Arts et Métiers-ParisTech, CNRS, Cnam, 151 bd de l’Hôpital, 75013, Paris, France

    Corinne Dupuy, Patrice Peyre & Justin Dirrenberger

  23. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università degli Studi dell’Aquila, L’Aquila, Italy

    Marco Laudato

  24. Marcus Wallenberg Laboratory for Sound and Vibration Research, KTH Royal Institute of Technology, 100 44, Stockholm, Sweden

    Luca Manzari & Peter Göransson

  25. Chair of Computational Mechanics, University of Siegen, Siegen, Germany

    Christian Hesch

  26. Chair of Product Development, University of Siegen, Siegen, Germany

    Sofia Hesch

  27. DMMS Lab Flanders Make, Leuven, Belgium

    Florian Maurin

  28. Department of Mechanical Engineering, University of California, Berkeley, CA, 94720, USA

    Zacharias Vangelatos & Costas Grigoropoulos

  29. Laser Thermal Laboratory, Department of Mechanical Engineering, University of California, Berkeley, California, 94720, USA

    Zacharias Vangelatos & Costas Grigoropoulos

  30. Institute of Electronic Structure and Laser (IESL), Foundation of Research and Technology, Hellas (FORTH), Heraklion, 70013, Crete, Greece

    Vasileia Melissinaki & Maria Farsari

  31. Faculty of Mechanics, Berlin University of Technology, Einsteinufer 5, 10587, Berlin, Germany

    Wolfgang Muller, Bilen Emek Abali, Christian Liebold & Gregor Ganzosch

  32. School of Engineering, University of Glasgow, University Avenue, Glasgow, G12 8QQ, UK

    Philip Harrison

  33. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università degli Studi dell’Aquila, L’Aquila, Italy

    Rafał Drobnicki

Authors
  1. Francesco dell’Isola
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  2. Pierre Seppecher
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  3. Mario Spagnuolo
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  19. Francesco D’Annibale
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  21. Xavier Pinelli
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  23. Boris Desmorat
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  28. Marco Laudato
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  29. Luca Manzari
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  31. Christian Hesch
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  35. Florian Maurin
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  38. Vasileia Melissinaki
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  39. Maria Farsari
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  40. Wolfgang Muller
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  41. Bilen Emek Abali
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  42. Christian Liebold
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  43. Gregor Ganzosch
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  44. Philip Harrison
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  45. Rafał Drobnicki
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  46. Leonid Igumnov
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  47. Faris Alzahrani
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  48. Tasawar Hayat
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Corresponding author

Correspondence to Mario Spagnuolo.

Additional information

Communicated by Andreas Öchsner.

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dell’Isola, F., Seppecher, P., Spagnuolo, M. et al. Advances in pantographic structures: design, manufacturing, models, experiments and image analyses. Continuum Mech. Thermodyn. 31, 1231–1282 (2019). https://doi.org/10.1007/s00161-019-00806-x

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  • DOI: https://doi.org/10.1007/s00161-019-00806-x

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