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




Macroscopic Description of Microscopically Strongly Inhomogenous Systems: A Mathematical Basis for the Synthesis of Higher Gradients Metamaterials - Download this document for free, or read online. Document in PDF available to download.

1 International Research Center M&MoCS, Università degli Studi dell-Aquila, Italy 2 Dipartimento di Ingegneria Meccanica ed Aeronautica, Università di Roma La Sapienza 3 CNIS-Centro per le Nanotecnologie Applicate all’Ingegneria, Roma 4 Dipartimento di Ingegneria Meccanica e Aerospaziale, Università di Roma La Sapienza 5 Diparimento di Matematica, Università di Roma La Sapienza

Abstract : 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, called 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.





Author: A Carcaterra - F Dell -Isola - R Esposito - M Pulvirenti -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents