Macroscopic Description of Microscopically Strongly Inhomogenous Systems: A Mathematical Basis for the Synthesis of Higher Gradients Metamaterials

Verfasser / Beitragende:
[A. Carcaterra, F. dell'Isola, R. Esposito, M. Pulvirenti]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 218/3(2015-12-01), 1239-1262
Format:
Artikel (online)
ID: 605515905
LEADER caa a22 4500
001 605515905
003 CHVBK
005 20210128100711.0
007 cr unu---uuuuu
008 210128e20151201xx s 000 0 eng
024 7 0 |a 10.1007/s00205-015-0879-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00205-015-0879-5 
245 0 0 |a Macroscopic Description of Microscopically Strongly Inhomogenous Systems: A Mathematical Basis for the Synthesis of Higher Gradients Metamaterials  |h [Elektronische Daten]  |c [A. Carcaterra, F. dell'Isola, R. Esposito, M. Pulvirenti] 
520 3 |a We consider the time evolution of a one dimensional n-gradient continuum. Our aim is to construct and analyze discrete approximations in terms of physically realizable mechanical systems, referred to as microscopic because they are living on a smaller space scale. We validate our construction by proving a convergence theorem of the microscopic system to the given continuum, as the scale parameter goes to zero. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
700 1 |a Carcaterra  |D A.  |u Dipartimento di Ingegneria Meccanica ed Aeronautica, Università di Roma La Sapienza, Via Eudossiana 18, 00184, Rome, Italy  |4 aut 
700 1 |a dell'Isola  |D F.  |u Dipartimento di Ingegneria Meccanica ed Aeronautica, Università di Roma La Sapienza, Via Eudossiana 18, 00184, Rome, Italy  |4 aut 
700 1 |a Esposito  |D R.  |u International Research Center M&MOCS, Università dell'Aquila, Palazzo Caetani, 04012, Cisterna di Latina (LT), Italy  |4 aut 
700 1 |a Pulvirenti  |D M.  |u International Research Center M&MOCS, Università dell'Aquila, Palazzo Caetani, 04012, Cisterna di Latina (LT), Italy  |4 aut 
773 0 |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 218/3(2015-12-01), 1239-1262  |x 0003-9527  |q 218:3<1239  |1 2015  |2 218  |o 205 
856 4 0 |u https://doi.org/10.1007/s00205-015-0879-5  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00205-015-0879-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Carcaterra  |D A.  |u Dipartimento di Ingegneria Meccanica ed Aeronautica, Università di Roma La Sapienza, Via Eudossiana 18, 00184, Rome, Italy  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a dell'Isola  |D F.  |u Dipartimento di Ingegneria Meccanica ed Aeronautica, Università di Roma La Sapienza, Via Eudossiana 18, 00184, Rome, Italy  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Esposito  |D R.  |u International Research Center M&MOCS, Università dell'Aquila, Palazzo Caetani, 04012, Cisterna di Latina (LT), Italy  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Pulvirenti  |D M.  |u International Research Center M&MOCS, Università dell'Aquila, Palazzo Caetani, 04012, Cisterna di Latina (LT), Italy  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 218/3(2015-12-01), 1239-1262  |x 0003-9527  |q 218:3<1239  |1 2015  |2 218  |o 205