Pantographic metamaterials: an example of mathematically- driven design and of its technological challenges

Francesco Dell 'Isola 1 Pierre Seppecher 2 Jean Jacques Alibert Tomasz Lekszycki 3 Roman Grygoruk 4 Marek Pawlikowski 5 David Steigmann 6 Ivan Giorgio 7 Ugo Andreaus 8 Emilio Turco 9 Maciej Golaszewski Nicola Rizzi Claude Boutin 10 Victor Eremeyev 11 Anil Misra 12 Luca Placidi 13 Emilio Barchiesi Leopoldo Greco 1 Massimo Cuomo 14 Antonio Cazzani 15 Alessandro Corte Antonio Battista 4 Daria Scerrato 16 Inna Zurba Eremeeva Yosra Rahali 17 Jean-François Ganghoffer Wolfgang Müller 18 Gregor Ganzosch 19 Mario Spagnuolo Aron Pfaff Katarzyna Barcz Klaus Hoschke Jan Neggers 20 François Hild 20
Abstract : In this paper we account for the research efforts that have been started, for some among us, already since 2003, and aimed to the design of a class of exotic architectured, optimized (meta) materials. At the first stage of these efforts, as it often happens, the research was based on the results of mathematical investigations. The problem to be solved was stated as follows: determine the material (micro)structure governed by those equations that specify a desired behavior. Addressing this problem has led to the synthesis of second gradient materials. In the second stage, it has been necessary to develop numerical integration schemes and the corresponding codes for solving, in physically relevant cases, the chosen equations. Finally, it has been necessary to physically construct the theoretically synthesized microstructures. This has been possible by means of the recent developments in rapid prototyping technologies, which allow for the fabrication of some complex (micro)structures considered, up to now, to be simply some mathematical dreams. We show here a panorama of the results of our efforts i) in designing pantographic meta-materials, ii) in exploiting the modern technology of rapid prototyping, and iii) in the mechanical testing of many real prototypes. Among the key findings that have been obtained there are the following ones: pantographic meta-materials i) undergo very large deformations while remaining in the elastic regime, ii) are very tough in resisting to damage phenomena, iii) exhibit robust macroscopic mechanical behavior with respect to minor changes in their microstructure and micromechanical properties, iv) have superior strength to weight ratio, v) have predictable damage behavior, and vi) possess physical properties that are critically dictated by their geometry at the microlevel.
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Continuum Mechanics and Thermodynamics, Springer Verlag, In press, 〈10.1007/s00161-018-0689-8〉
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Soumis le : lundi 23 juillet 2018 - 12:44:44
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Francesco Dell 'Isola, Pierre Seppecher, Jean Jacques Alibert, Tomasz Lekszycki, Roman Grygoruk, et al.. Pantographic metamaterials: an example of mathematically- driven design and of its technological challenges. Continuum Mechanics and Thermodynamics, Springer Verlag, In press, 〈10.1007/s00161-018-0689-8〉. 〈hal-01808115〉



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