Computational homogenization of periodic beam-like structures

Homogenization of periodic multi-dimensional structures

Riassunto. Si studia il comportamento asintotico di una classe di funzionali integrali che possono dipendere da misure concentrate su strutture periodiche multidimensionali, quando tale periodo tende a 0. Il problema viene ambientato in spazi di Sobolev rispetto a misure periodiche. Si dimostra, sotto ipotesi generali, che un appropriato limite può venire definito su uno spazio di Sobolev usual...

Homogenization of Periodic Structures via Bloch Decomposition

In this paper, the classical problem of homogenization of elliptic operators in arbitrary domains with periodically oscillating coefficients is considered. Using Bloch wave decomposition, a new proof of convergence is furnished. It sheds new light and offers an alternate way to view the classical results. In a natural way, this method leads us to work in the Fourier space and thus in a framewor...

Damage Detection in Beam-like Structures using Finite Volume Method

In this paper the damage location in beam like-structure is determined using static and dynamic data obtained using finite volume method. The change of static and dynamic displacement due to damage is used to establish an indicator for determining the damage location. In order to assess the robustness of the proposed method for structural damage detection, three test examples including a static...

Two-Scale Convergence and Homogenization of Periodic Structures

Nonasymptotic homogenization of periodic electromagnetic structures: Uncertainty principles

We show that artificial magnetism of periodic dielectric or metal/dielectric structures has limitations and is subject to at least two “uncertainty principles.” First, the stronger the magnetic response (the deviation of the effective permeability tensor from identity), the less accurate (“certain”) the predictions of any homogeneous model. Second, if the magnetic response is strong, then homog...