Extended plane wave expansion formulation for 1-D viscoelastic phononic crystals
L.F.C. Schalcher, José Maria Campos dos Santos, Edson Jansen Pedrosa de Miranda
Abstract
The extended plane wave expansion (EPWE) method is formulated in order to obtain the complex dispersion diagram of bulk waves in 1-D viscoelastic phononic crystal solids considering the standard linear solid model (SLSM). This new formulation is important to handle evanescent Bloch waves in 1-D viscoelastic periodic structures for mechanical wave attenuation. The viscoelastic effect can increase the unit cell wave attenuation in 1-D periodic structures. In addition, the increase of relaxation time (up to ωa/2πct=7) and the decrease of final state of shear modulus (considering ωa/2πct≤1.9) enhance the unit cell wave attenuation.
Topics & Concepts
ViscoelasticityAttenuationDispersion (optics)Standard linear solid modelPlane waveMaterials scienceShear modulusShear wavesPlane wave expansion methodRelaxation (psychology)Plane (geometry)Bloch waveShear (geology)PhysicsCondensed matter physicsOpticsComposite materialGeometryMathematicsBand gapSocial psychologyPsychologyAcoustic Wave Phenomena ResearchUltrasonics and Acoustic Wave PropagationSeismic Waves and Analysis