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

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.
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https://hal.archives-ouvertes.fr/hal-01155474
Contributor : Christian Cardillo <>
Submitted on : Tuesday, May 26, 2015 - 5:10:18 PM
Last modification on : Friday, February 12, 2021 - 2:26:02 PM
Long-term archiving on: : Tuesday, September 15, 2015 - 6:55:43 AM

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A Carcaterra, F Dell 'Isola, R Esposito, M Pulvirenti. Macroscopic Description of Microscopically Strongly Inhomogenous Systems: A Mathematical Basis for the Synthesis of Higher Gradients Metamaterials. Archive for Rational Mechanics and Analysis, Springer Verlag, 2015, 20 p. ⟨hal-01155474⟩

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