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 r...
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| Autor*in: |
dell’Isola, Francesco [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag GmbH Germany, part of Springer Nature 2018 |
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| Übergeordnetes Werk: |
Enthalten in: Continuum mechanics and thermodynamics - Berlin : Springer, 1989, 31(2018), 4 vom: 30. Juni, Seite 851-884 |
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| Übergeordnetes Werk: |
volume:31 ; year:2018 ; number:4 ; day:30 ; month:06 ; pages:851-884 |
| Links: |
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| DOI / URN: |
10.1007/s00161-018-0689-8 |
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| 520 | |a 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. | ||
| 650 | 4 | |a Pantographic fabrics |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Metamaterials |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Scientific design |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Higher gradient materials |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Seppecher, Pierre |4 aut | |
| 700 | 1 | |a Alibert, Jean Jacques |4 aut | |
| 700 | 1 | |a Lekszycki, Tomasz |4 aut | |
| 700 | 1 | |a Grygoruk, Roman |4 aut | |
| 700 | 1 | |a Pawlikowski, Marek |4 aut | |
| 700 | 1 | |a Steigmann, David |4 aut | |
| 700 | 1 | |a Giorgio, Ivan |4 aut | |
| 700 | 1 | |a Andreaus, Ugo |4 aut | |
| 700 | 1 | |a Turco, Emilio |4 aut | |
| 700 | 1 | |a Gołaszewski, Maciej |4 aut | |
| 700 | 1 | |a Rizzi, Nicola |4 aut | |
| 700 | 1 | |a Boutin, Claude |4 aut | |
| 700 | 1 | |a Eremeyev, Victor A. |4 aut | |
| 700 | 1 | |a Misra, Anil |4 aut | |
| 700 | 1 | |a Placidi, Luca |4 aut | |
| 700 | 1 | |a Barchiesi, Emilio |0 (orcid)0000-0002-7296-0671 |4 aut | |
| 700 | 1 | |a Greco, Leopoldo |4 aut | |
| 700 | 1 | |a Cuomo, Massimo |4 aut | |
| 700 | 1 | |a Cazzani, Antonio |4 aut | |
| 700 | 1 | |a Corte, Alessandro Della |4 aut | |
| 700 | 1 | |a Battista, Antonio |4 aut | |
| 700 | 1 | |a Scerrato, Daria |4 aut | |
| 700 | 1 | |a Eremeeva, Inna Zurba |4 aut | |
| 700 | 1 | |a Rahali, Yosra |4 aut | |
| 700 | 1 | |a Ganghoffer, Jean-François |4 aut | |
| 700 | 1 | |a Müller, Wolfgang |4 aut | |
| 700 | 1 | |a Ganzosch, Gregor |4 aut | |
| 700 | 1 | |a Spagnuolo, Mario |4 aut | |
| 700 | 1 | |a Pfaff, Aron |4 aut | |
| 700 | 1 | |a Barcz, Katarzyna |4 aut | |
| 700 | 1 | |a Hoschke, Klaus |4 aut | |
| 700 | 1 | |a Neggers, Jan |4 aut | |
| 700 | 1 | |a Hild, François |4 aut | |
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10.1007/s00161-018-0689-8 doi (DE-627)SPR001341227 (SPR)s00161-018-0689-8-e DE-627 ger DE-627 rakwb eng dell’Isola, Francesco verfasserin aut Pantographic metamaterials: an example of mathematically driven design and of its technological challenges 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2018 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. Pantographic fabrics (dpeaa)DE-He213 Metamaterials (dpeaa)DE-He213 Scientific design (dpeaa)DE-He213 Higher gradient materials (dpeaa)DE-He213 Seppecher, Pierre aut Alibert, Jean Jacques aut Lekszycki, Tomasz aut Grygoruk, Roman aut Pawlikowski, Marek aut Steigmann, David aut Giorgio, Ivan aut Andreaus, Ugo aut Turco, Emilio aut Gołaszewski, Maciej aut Rizzi, Nicola aut Boutin, Claude aut Eremeyev, Victor A. aut Misra, Anil aut Placidi, Luca aut Barchiesi, Emilio (orcid)0000-0002-7296-0671 aut Greco, Leopoldo aut Cuomo, Massimo aut Cazzani, Antonio aut Corte, Alessandro Della aut Battista, Antonio aut Scerrato, Daria aut Eremeeva, Inna Zurba aut Rahali, Yosra aut Ganghoffer, Jean-François aut Müller, Wolfgang aut Ganzosch, Gregor aut Spagnuolo, Mario aut Pfaff, Aron aut Barcz, Katarzyna aut Hoschke, Klaus aut Neggers, Jan aut Hild, François aut Enthalten in Continuum mechanics and thermodynamics Berlin : Springer, 1989 31(2018), 4 vom: 30. 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10.1007/s00161-018-0689-8 doi (DE-627)SPR001341227 (SPR)s00161-018-0689-8-e DE-627 ger DE-627 rakwb eng dell’Isola, Francesco verfasserin aut Pantographic metamaterials: an example of mathematically driven design and of its technological challenges 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2018 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. Pantographic fabrics (dpeaa)DE-He213 Metamaterials (dpeaa)DE-He213 Scientific design (dpeaa)DE-He213 Higher gradient materials (dpeaa)DE-He213 Seppecher, Pierre aut Alibert, Jean Jacques aut Lekszycki, Tomasz aut Grygoruk, Roman aut Pawlikowski, Marek aut Steigmann, David aut Giorgio, Ivan aut Andreaus, Ugo aut Turco, Emilio aut Gołaszewski, Maciej aut Rizzi, Nicola aut Boutin, Claude aut Eremeyev, Victor A. aut Misra, Anil aut Placidi, Luca aut Barchiesi, Emilio (orcid)0000-0002-7296-0671 aut Greco, Leopoldo aut Cuomo, Massimo aut Cazzani, Antonio aut Corte, Alessandro Della aut Battista, Antonio aut Scerrato, Daria aut Eremeeva, Inna Zurba aut Rahali, Yosra aut Ganghoffer, Jean-François aut Müller, Wolfgang aut Ganzosch, Gregor aut Spagnuolo, Mario aut Pfaff, Aron aut Barcz, Katarzyna aut Hoschke, Klaus aut Neggers, Jan aut Hild, François aut Enthalten in Continuum mechanics and thermodynamics Berlin : Springer, 1989 31(2018), 4 vom: 30. Juni, Seite 851-884 (DE-627)270937617 (DE-600)1478722-2 1432-0959 nnns volume:31 year:2018 number:4 day:30 month:06 pages:851-884 https://dx.doi.org/10.1007/s00161-018-0689-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 31 2018 4 30 06 851-884 |
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10.1007/s00161-018-0689-8 doi (DE-627)SPR001341227 (SPR)s00161-018-0689-8-e DE-627 ger DE-627 rakwb eng dell’Isola, Francesco verfasserin aut Pantographic metamaterials: an example of mathematically driven design and of its technological challenges 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2018 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. Pantographic fabrics (dpeaa)DE-He213 Metamaterials (dpeaa)DE-He213 Scientific design (dpeaa)DE-He213 Higher gradient materials (dpeaa)DE-He213 Seppecher, Pierre aut Alibert, Jean Jacques aut Lekszycki, Tomasz aut Grygoruk, Roman aut Pawlikowski, Marek aut Steigmann, David aut Giorgio, Ivan aut Andreaus, Ugo aut Turco, Emilio aut Gołaszewski, Maciej aut Rizzi, Nicola aut Boutin, Claude aut Eremeyev, Victor A. aut Misra, Anil aut Placidi, Luca aut Barchiesi, Emilio (orcid)0000-0002-7296-0671 aut Greco, Leopoldo aut Cuomo, Massimo aut Cazzani, Antonio aut Corte, Alessandro Della aut Battista, Antonio aut Scerrato, Daria aut Eremeeva, Inna Zurba aut Rahali, Yosra aut Ganghoffer, Jean-François aut Müller, Wolfgang aut Ganzosch, Gregor aut Spagnuolo, Mario aut Pfaff, Aron aut Barcz, Katarzyna aut Hoschke, Klaus aut Neggers, Jan aut Hild, François aut Enthalten in Continuum mechanics and thermodynamics Berlin : Springer, 1989 31(2018), 4 vom: 30. Juni, Seite 851-884 (DE-627)270937617 (DE-600)1478722-2 1432-0959 nnns volume:31 year:2018 number:4 day:30 month:06 pages:851-884 https://dx.doi.org/10.1007/s00161-018-0689-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 31 2018 4 30 06 851-884 |
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10.1007/s00161-018-0689-8 doi (DE-627)SPR001341227 (SPR)s00161-018-0689-8-e DE-627 ger DE-627 rakwb eng dell’Isola, Francesco verfasserin aut Pantographic metamaterials: an example of mathematically driven design and of its technological challenges 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2018 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. Pantographic fabrics (dpeaa)DE-He213 Metamaterials (dpeaa)DE-He213 Scientific design (dpeaa)DE-He213 Higher gradient materials (dpeaa)DE-He213 Seppecher, Pierre aut Alibert, Jean Jacques aut Lekszycki, Tomasz aut Grygoruk, Roman aut Pawlikowski, Marek aut Steigmann, David aut Giorgio, Ivan aut Andreaus, Ugo aut Turco, Emilio aut Gołaszewski, Maciej aut Rizzi, Nicola aut Boutin, Claude aut Eremeyev, Victor A. aut Misra, Anil aut Placidi, Luca aut Barchiesi, Emilio (orcid)0000-0002-7296-0671 aut Greco, Leopoldo aut Cuomo, Massimo aut Cazzani, Antonio aut Corte, Alessandro Della aut Battista, Antonio aut Scerrato, Daria aut Eremeeva, Inna Zurba aut Rahali, Yosra aut Ganghoffer, Jean-François aut Müller, Wolfgang aut Ganzosch, Gregor aut Spagnuolo, Mario aut Pfaff, Aron aut Barcz, Katarzyna aut Hoschke, Klaus aut Neggers, Jan aut Hild, François aut Enthalten in Continuum mechanics and thermodynamics Berlin : Springer, 1989 31(2018), 4 vom: 30. Juni, Seite 851-884 (DE-627)270937617 (DE-600)1478722-2 1432-0959 nnns volume:31 year:2018 number:4 day:30 month:06 pages:851-884 https://dx.doi.org/10.1007/s00161-018-0689-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 31 2018 4 30 06 851-884 |
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10.1007/s00161-018-0689-8 doi (DE-627)SPR001341227 (SPR)s00161-018-0689-8-e DE-627 ger DE-627 rakwb eng dell’Isola, Francesco verfasserin aut Pantographic metamaterials: an example of mathematically driven design and of its technological challenges 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag GmbH Germany, part of Springer Nature 2018 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. Pantographic fabrics (dpeaa)DE-He213 Metamaterials (dpeaa)DE-He213 Scientific design (dpeaa)DE-He213 Higher gradient materials (dpeaa)DE-He213 Seppecher, Pierre aut Alibert, Jean Jacques aut Lekszycki, Tomasz aut Grygoruk, Roman aut Pawlikowski, Marek aut Steigmann, David aut Giorgio, Ivan aut Andreaus, Ugo aut Turco, Emilio aut Gołaszewski, Maciej aut Rizzi, Nicola aut Boutin, Claude aut Eremeyev, Victor A. aut Misra, Anil aut Placidi, Luca aut Barchiesi, Emilio (orcid)0000-0002-7296-0671 aut Greco, Leopoldo aut Cuomo, Massimo aut Cazzani, Antonio aut Corte, Alessandro Della aut Battista, Antonio aut Scerrato, Daria aut Eremeeva, Inna Zurba aut Rahali, Yosra aut Ganghoffer, Jean-François aut Müller, Wolfgang aut Ganzosch, Gregor aut Spagnuolo, Mario aut Pfaff, Aron aut Barcz, Katarzyna aut Hoschke, Klaus aut Neggers, Jan aut Hild, François aut Enthalten in Continuum mechanics and thermodynamics Berlin : Springer, 1989 31(2018), 4 vom: 30. Juni, Seite 851-884 (DE-627)270937617 (DE-600)1478722-2 1432-0959 nnns volume:31 year:2018 number:4 day:30 month:06 pages:851-884 https://dx.doi.org/10.1007/s00161-018-0689-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 31 2018 4 30 06 851-884 |
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Enthalten in Continuum mechanics and thermodynamics 31(2018), 4 vom: 30. Juni, Seite 851-884 volume:31 year:2018 number:4 day:30 month:06 pages:851-884 |
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Enthalten in Continuum mechanics and thermodynamics 31(2018), 4 vom: 30. Juni, Seite 851-884 volume:31 year:2018 number:4 day:30 month:06 pages:851-884 |
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dell’Isola, Francesco @@aut@@ Seppecher, Pierre @@aut@@ Alibert, Jean Jacques @@aut@@ Lekszycki, Tomasz @@aut@@ Grygoruk, Roman @@aut@@ Pawlikowski, Marek @@aut@@ Steigmann, David @@aut@@ Giorgio, Ivan @@aut@@ Andreaus, Ugo @@aut@@ Turco, Emilio @@aut@@ Gołaszewski, Maciej @@aut@@ Rizzi, Nicola @@aut@@ Boutin, Claude @@aut@@ Eremeyev, Victor A. @@aut@@ Misra, Anil @@aut@@ Placidi, Luca @@aut@@ Barchiesi, Emilio @@aut@@ Greco, Leopoldo @@aut@@ Cuomo, Massimo @@aut@@ Cazzani, Antonio @@aut@@ Corte, Alessandro Della @@aut@@ Battista, Antonio @@aut@@ Scerrato, Daria @@aut@@ Eremeeva, Inna Zurba @@aut@@ Rahali, Yosra @@aut@@ Ganghoffer, Jean-François @@aut@@ Müller, Wolfgang @@aut@@ Ganzosch, Gregor @@aut@@ Spagnuolo, Mario @@aut@@ Pfaff, Aron @@aut@@ Barcz, Katarzyna @@aut@@ Hoschke, Klaus @@aut@@ Neggers, Jan @@aut@@ Hild, François @@aut@@ |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR001341227</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230330093007.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201001s2018 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00161-018-0689-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR001341227</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s00161-018-0689-8-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">dell’Isola, Francesco</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Pantographic metamaterials: an example of mathematically driven design and of its technological challenges</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag GmbH Germany, part of Springer Nature 2018</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Pantographic fabrics</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Metamaterials</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Scientific design</subfield><subfield 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Juni, Seite 851-884</subfield><subfield code="w">(DE-627)270937617</subfield><subfield code="w">(DE-600)1478722-2</subfield><subfield code="x">1432-0959</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:31</subfield><subfield code="g">year:2018</subfield><subfield code="g">number:4</subfield><subfield code="g">day:30</subfield><subfield code="g">month:06</subfield><subfield code="g">pages:851-884</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s00161-018-0689-8</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="912" 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dell’Isola, Francesco Seppecher, Pierre Alibert, Jean Jacques Lekszycki, Tomasz Grygoruk, Roman Pawlikowski, Marek Steigmann, David Giorgio, Ivan Andreaus, Ugo Turco, Emilio Gołaszewski, Maciej Rizzi, Nicola Boutin, Claude Eremeyev, Victor A. Misra, Anil Placidi, Luca Barchiesi, Emilio Greco, Leopoldo Cuomo, Massimo Cazzani, Antonio Corte, Alessandro Della Battista, Antonio Scerrato, Daria Eremeeva, Inna Zurba Rahali, Yosra Ganghoffer, Jean-François Müller, Wolfgang Ganzosch, Gregor Spagnuolo, Mario Pfaff, Aron Barcz, Katarzyna Hoschke, Klaus Neggers, Jan Hild, François |
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Pantographic metamaterials: an example of mathematically driven design and of its technological challenges |
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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. © Springer-Verlag GmbH Germany, part of Springer Nature 2018 |
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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. © Springer-Verlag GmbH Germany, part of Springer Nature 2018 |
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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. © Springer-Verlag GmbH Germany, part of Springer Nature 2018 |
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