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Macroscopic Description of Microscopically Strongly Inhomogenous Systems: A Mathematical Basis for the Synthesis of Higher Gradients Metamaterials.
- Source :
- Archive for Rational Mechanics & Analysis; Dec2015, Vol. 218 Issue 3, p1239-1262, 24p
- Publication Year :
- 2015
-
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, 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00039527
- Volume :
- 218
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Archive for Rational Mechanics & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 109908220
- Full Text :
- https://doi.org/10.1007/s00205-015-0879-5