Identification of higher-order continua equivalent to a Cauchy elastic composite

  title={Identification of higher-order continua equivalent to a Cauchy elastic composite},
  author={A.Bacigalupo and Marco Paggi and Francesco Dal Corso and Davide Bigoni},
  journal={Mechanics Research Communications},

Figures from this paper

Dynamic asymptotic homogenization for periodic viscoelastic materials.

A non-local dynamic homogenization technique for the analysis of a viscoelastic heterogeneous material which displays a periodic microstructure is herein proposed. The asymptotic expansion of the

Determination of metamaterial parameters by means of a homogenization approach based on asymptotic analysis

The proposed approach guarantees that the additional parameters vanish if the material is purely homogeneous, in other words, it is fully compatible with conventional homogenization schemes based on spatial averaging techniques.

Complex frequency band structure of periodic thermo-diffusive materials by Floquet–Bloch theory

This work deals with the micromechanical study of periodic thermo-diffusive elastic multi-layered materials, which are of interest for the fabrication of solid oxide fuel cells. The focus is on the

Effective strain gradient continuum model of metamaterials and size effects analysis

In this paper, a strain gradient continuum model for a metamaterial with a periodic lattice substructure is considered. A second gradient constitutive law is postulated at the macroscopic level. The

Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model

We devote this paper to model the size-effects of metamaterial beams under bending with the aid of the relaxed micromorphic continuum. We analyze first the size-dependent bending stiffness of



Second-order homogenization of periodic materials based on asymptotic approximation of the strain energy: formulation and validity limits

In this paper a second-order homogenization approach for periodic material is derived from an appropriate representation of the down-scaling that correlates the micro-displacement field to the

Homogenization methods and mechanics of generalized continua - part 2

The need for generalized continua arises in several areas of the mechanics of heterogeneous materials, especially in homogenization theory. A generalized homogeneous substitution medium is necessary

Microstructural effects in elastic composites