Identification of higher-order continua equivalent to a Cauchy elastic composite
@article{ABacigalupo2017IdentificationOH, 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}, year={2017} }
24 Citations
Dynamic asymptotic homogenization for periodic viscoelastic materials.
- Physics
- 2018
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…
Wave propagation modeling in periodic elasto-thermo-diffusive materials via multifield asymptotic homogenization
- MathematicsArXiv
- 2020
Verification of asymptotic homogenization method developed for periodic architected materials in strain gradient continuum
- EngineeringInternational Journal of Solids and Structures
- 2021
Variational-asymptotic homogenization of thermoelastic periodic materials with thermal relaxation
- Physics
- 2021
Identification of second-gradient elastic materials from planar hexagonal lattices. Part I: Analytical derivation of equivalent constitutive tensors
- EngineeringInternational Journal of Solids and Structures
- 2019
Determination of metamaterial parameters by means of a homogenization approach based on asymptotic analysis
- Materials ScienceContinuum Mechanics and Thermodynamics
- 2019
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
- MathematicsActa Mechanica
- 2019
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
- EngineeringContinuum Mechanics and Thermodynamics
- 2020
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
- EngineeringArXiv
- 2022
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…
References
SHOWING 1-10 OF 56 REFERENCES
On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media
- Mathematics
- 2000
Second-order homogenization of periodic materials based on asymptotic approximation of the strain energy: formulation and validity limits
- Mathematics
- 2014
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…
Computational two-scale homogenization of periodic masonry: Characteristic lengths and dispersive waves
- Engineering
- 2012
Multi-field asymptotic homogenization of thermo-piezoelectric materials with periodic microstructure
- Mathematics
- 2017
A micromechanics-based approach for the derivation of constitutive elastic coefficients of strain-gradient media
- Engineering
- 2012
Multiscale asymptotic homogenization analysis of thermo-diffusive composite materials
- Engineering
- 2015
Derivation of the in-plane elastic characteristics of masonry through homogenization theory
- Engineering
- 1995