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

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 (1) in designing pantographic metamaterials, (2) in exploiting the modern technology of rapid prototyping, and (3) in the mechanical testing of many real prototypes. Among the key findings that have been obtained, there are the following ones: pantographic metamaterials (1) undergo very large deformations while remaining in the elastic regime, (2) are very tough in resisting to damage phenomena, (3) exhibit robust macroscopic mechanical behavior with respect to minor changes in their microstructure and micromechanical properties, (4) have superior strength to weight ratio, (5) have predictable damage behavior, and (6) possess physical properties that are critically dictated by their geometry at the microlevel.

Citations

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Authors

  • Photo of Dr. hab. Prof. Francesco Dell'Isola

    Francesco Dell'isola Dr. hab. Prof.

  • Photo of Dr. hab. Prof Pierre Seppecher

    Pierre Seppecher Dr. hab. Prof

  • Photo of Dr.hab. Prof Jean Jacques Alibert

    Jean Jacques Alibert Dr.hab. Prof

  • Photo of Dr. hab. Prof. Tomasz Lekszycki

    Tomasz Lekszycki Dr. hab. Prof.

  • Photo of  Grygoruk Roman

    Grygoruk Roman

  • Photo of Dr. Marek Pawlikowski

    Marek Pawlikowski Dr.

  • Photo of Professor David Steigmann

    David Steigmann Professor

  • Photo of Dr. Ivan Giorgio

    Ivan Giorgio Dr.

  • Photo of Dr.hab. Prof. Ugo Andreaus

    Ugo Andreaus Dr.hab. Prof.

  • Photo of Dr. hab. Prof. Emilio Turco

    Emilio Turco Dr. hab. Prof.

  • Photo of  Maciej Gołaszewski

    Maciej Gołaszewski

  • Photo of Dr.hab. Prof. Nicola Rizzi

    Nicola Rizzi Dr.hab. Prof.

  • Photo of Dr.hab. Prof. Claude Boutin

    Claude Boutin Dr.hab. Prof.

  • Photo of Prof. Anil Misra

    Anil Misra Prof.

  • Photo of Dr. hab. Luca Placidi

    Luca Placidi Dr. hab.

  • Photo of  Emilio Barchiesi

    Emilio Barchiesi

  • Photo of Dr. Leopoldo Greco

    Leopoldo Greco Dr.

  • Photo of Dr. hab. Professor Massimo Cuomo

    Massimo Cuomo Dr. hab. Professor

  • Photo of Dr.hab. Prof. Antonio Antonio

    Antonio Antonio Dr.hab. Prof.

  • Photo of Dr. Alessandro Della Corte

    Alessandro Della Corte Dr.

  • Photo of  Antonio Battista

    Antonio Battista

  • Photo of Dr. Daria Scerrato

    Daria Scerrato Dr.

  • Photo of Dr. Inna Eremeeva

    Inna Eremeeva Dr.

  • Photo of  Yosra Rahali

    Yosra Rahali

  • Photo of Dr.hab. Prof. Jean-François Ganghoffer

    Jean-François Ganghoffer Dr.hab. Prof.

  • Photo of Dr.hab. Prof. Wolfgang Müller

    Wolfgang Müller Dr.hab. Prof.

  • Photo of Dr. Gregor Ganzosch

    Gregor Ganzosch Dr.

  • Photo of  Mario Spagnuolo

    Mario Spagnuolo

  • Photo of  Aron Pfaff

    Aron Pfaff

  • Photo of Dr. Katarzyna Barcz

    Katarzyna Barcz Dr.

  • Photo of Dr. Klaus Hoschke

    Klaus Hoschke Dr.

  • Photo of Dr. Jan Neggers

    Jan Neggers Dr.

  • Photo of Dr. François Hild

    François Hild Dr.

Details

Category:
Magazine publication
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
CONTINUUM MECHANICS AND THERMODYNAMICS pages 1 - 34,
ISSN: 0935-1175
Language:
English
Publication year:
2018
Bibliographic description:
Dell'isola F., Seppecher P., Alibert J., Lekszycki T., Roman G., Pawlikowski M., Steigmann D., Giorgio I., Andreaus U., Turco E., Gołaszewski M., Rizzi N., Boutin C., Eremeev V., Misra A., Placidi L., Barchiesi E., Greco L., Cuomo M., Antonio A., Della Corte A., Battista A., Scerrato D., Eremeeva I., Rahali Y., Ganghoffer J., Müller W., Ganzosch G., Spagnuolo M., Pfaff A., Barcz K., Hoschke K., Neggers J., Hild F.: Pantographic metamaterials: an example of mathematically driven design and of its technological challenges// CONTINUUM MECHANICS AND THERMODYNAMICS. -, (2018), s.1-34
DOI:
Digital Object Identifier (open in new tab) 10.1007/s00161-018-0689-8
Verification:
Gdańsk University of Technology

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