A micropolar model for the analysis of dispersive wavesin chiral mass-in-mass lattices
Journal Title: Frattura ed Integrità Strutturale - Year 2014, Vol 8, Issue 29
Abstract
The possibility of obtaining band gap structures in chiral auxetic lattices is here considered andapplied to the case of inertial locally resonant structures. These periodic materials are modelled as beam-latticesmade up of a periodic array of rigid rings, each one connected to the others through elastic slender ligaments.To obtain low-frequency stop bands, elastic circular resonating inclusions made up of masses located inside therings and connected to them through an elastic surrounding interface are considered and modeled. Theequations of motion are obtained for an equivalent homogenized micropolar continuum and the overall elasticmoduli and the inertia terms are given for both the hexachiral and the tetrachiral lattice. The constitutiveequation of the beam lattice given by the Authors [15] are then applied and a system of six equations of motionis obtained. The propagation of plane waves travelling along the direction of the lines connecting the ringcentres of the lattice is analysed and the secular equation is derived, from which the dispersive functions may beobtained.
Authors and Affiliations
A. Bacigalupo, L. Gambarotta
Keywords
Related Articles
- EP ID EP157814
- DOI 10.3221/IGF-ESIS.29.01
- Views 69
- Downloads 0
Deformation and fatigue behaviors of carburized automotive gear steel and predictions
The fatigue behavior of carburized components such as automotive transmission gears is very complex due to hardness and microstructure difference, residual stresses and multi-axial stress states developed bet...
Computational simulation of biaxial fatigue behaviour of lotus-type porous material
A computational simulation of low-cycle fatigue behaviour of lotus-type porous material, subjected to biaxial in-phase loading cycles is presented in this paper. Fatigue properties of porous materials are less&nbs...
Properties and applications of Magnetorheological fluids
This brief introduction describes the mechanical, rheological and magnetic properties of the magnetorheological (MR) fluids for feasible engineering applications. The typical modes of exploiting this te...
3D Analyses of crack propagation in torsion
The initiation and propagation of fatigue cracks during cyclic torsion loading was studied in a cast Al alloy (A357) with a relatively large (~500 μm) grain size. 2D observations, revealed that multi site crack i...
On the application of the Theory of Critical Distances for prediction of fracture in fibre composites
This paper is concerned with the fracture of composite materials containing stress concentration features such as notches and holes. In particular, it addresses the question of the use of the Theory of Critical Distances...