Rigorous Formulation of the Scattering of Plane Waves by 2-D Graphene-Based Gratings: Out-of-Plane Incidence

2014 ◽  
Vol 62 (9) ◽  
pp. 4736-4745 ◽  
Author(s):  
Ruey-Bing Hwang
Keyword(s):  
Plane Waves ◽  
Rigorous Formulation ◽  
Out Of Plane

Optimization of Phononic Crystals for the Simultaneous Attenuation of Out-of-Plane and In-Plane Waves

2011 ◽  
Author(s):  
Osama R. Bilal ◽  
Mahmoud I. Hussein
Keyword(s):  
Genetic Algorithm ◽  
Phononic Crystal ◽  
Plane Waves ◽  
Phononic Crystals ◽  
Gap Size ◽  
Two Dimensional ◽  
Dispersion Characteristics ◽  
Out Of Plane ◽  
Optimization Methodology ◽  
Application Specific

The topological distribution of the material phases inside the unit cell composing a phononic crystal has a significant effect on its dispersion characteristics. This topology can be engineered to produce application-specific requirements. In this paper, a specialized genetic-algorithm-based topology optimization methodology for the design of two-dimensional phononic crystals is presented. Specifically the target is the opening and maximization of band gap size for (i) out-of-plane waves, (ii) in-plane waves and (iii) both out-of-plane and in-plane waves simultaneously. The methodology as well as the resulting designs are presented.

scholarly journals Robust separation of topological in-plane and out-of-plane waves in a phononic crystal

2022 ◽  
Vol 5 (1) ◽  
Author(s):  
Myung-Joon Lee ◽  
Il-Kwon Oh
Keyword(s):  
Elastic Wave ◽  
Phononic Crystal ◽  
Plane Waves ◽  
Degree Of Freedom ◽  
Wave Separation ◽  
Simultaneous Control ◽  
Accidental Degeneracy ◽  
Out Of Plane ◽  
Wave Path ◽  
The Rich

AbstractValley degree of freedom, associated with the valley topological phase, has propelled the advancement of the elastic waveguide by offering immunity to backscattering against bending and weak perturbations. Despite many attempts to manipulate the wave path and working frequency of the waveguide, internal characteristic of an elastic wave such as rich polarization has not yet been utilized with valley topological phases. Here, we introduce the rich polarization into the valley degree of freedom, to achieve topologically protected in-plane and out-of-plane mode separation of an elastic wave. Accidental degeneracy proves its real worth of decoupling the in-plane and out-of-plane polarized valley Hall phases. We further demonstrate independent and simultaneous control of in-plane and out-of-plane waves, with intact topological protection. The presenting procedure for designing the topologically protected wave separation based on accidental degeneracy will widen the valley topological physics in view of both generation mechanism and application areas.

In-plane and out-of-plane waves in nanoplates immersed in bidirectional magnetic fields

2017 ◽  
Vol 61 (1) ◽  
pp. 65-76 ◽  
Author(s):  
Keivan Kiani ◽  
Saeed Asil Gharebaghi ◽  
Bahman Mehri
Keyword(s):  
Magnetic Fields ◽  
Plane Waves ◽  
Out Of Plane

Vibration Analysis and Energy Transmission of Finite Coupled Mindlin Plates

2017 ◽  
Vol 17 (07) ◽  
pp. 1771007 ◽  
Author(s):  
Xian-Zhong Wang
Keyword(s):  
Power Flow ◽  
Plane Waves ◽  
Flow Analysis ◽  
Mindlin Plate ◽  
Rectangular Plates ◽  
The Finite Element Method ◽  
Energy Transmission ◽  
Local Coordinates ◽  
Out Of Plane ◽  
Coupled Plates

Power flow analysis of finite coupled Mindlin plates and energy transmission through the structure are investigated by employing the method of reverberation-ray matrix (MRRM). The rectangular Mindlin plates are connected at an arbitrary angle. Both in-plane and out-of-plane waves propagation solutions are considered by establishing the dual local coordinates in each plate. The boundary conditions at the plate edges, continuous conditions at the driving force locations, and coupling conditions at the line junction between several rectangular plates are established and solved simultaneously. Then the flexural and in-plane vibrations of the finite coupled Mindlin plate are obtained by using the MRRM, which are verified by comparing the results obtained with those by the finite element method (FEM). The vibration behaviors of coupled plates such as L-shaped structure, T-shaped structure and box-shaped structure are calculated and verified.

Application of a Discrete Mesoscopic Finite Element Approach to Investigate the Bending and Folding of Fiber-Reinforced Composite Materials during the Manufacturing Process

2014 ◽  
Vol 611-612 ◽  
pp. 324-331
Author(s):  
Lisa M. Dangora ◽  
James Sherwood ◽  
Cynthia Mitchell
Keyword(s):  
Finite Element ◽  
Manufacturing Process ◽  
Structural Integrity ◽  
Plane Waves ◽  
Element Model ◽  
Simulation Tool ◽  
Fiber Reinforced ◽  
Molding Process ◽  
Reinforced Composite ◽  
Out Of Plane

During the manufacturing of fabric-reinforced composite parts using a matched-die compression molding process or liquid composite molding, the fabric may experience local in-plane compressive loads that cause out-of-plane deformations. The waves that result from this outofplane motion can lead to the formation of resin rich pockets (during the infusion stage of a dry fabric) or they may be forced down into a fold by the tooling. Defects such as resin-rich pockets and folds compromise the structural integrity of the formed composite part. Therefore, it is valuable to have a simulation tool that can accurately capture the fabric bending properties and predict the locations where waves or folds are likely to occur as a result of the manufacturing process. The tool can then be used to investigate changes in the forming parameters such that the development of such defects can be mitigated. A hybrid finite element model used with a discrete mesoscopic approach captures the behavior of continuous fiber-reinforced fabrics where the fabric yarn is represented by beam elements and the shear behavior is implemented in shell elements. User-defined material subroutines describe the mechanical behavior of the beams and shells for their respective contributions to the overall fabric behavior. Simulations are used to demonstrate the ability of the modeling approach to predict the amplitude and curvature of out-of-plane waves. The simulation results are compared with experimental data to show the accuracy of the modeling. Additional models are presented to demonstrate the capability of the simulation tool to capture fabric folding.

Vibrational energy flow models for out-of-plane waves in finite thin shell

2012 ◽  
Vol 26 (3) ◽  
pp. 689-701 ◽  
Author(s):  
H. -W. Kwon ◽  
S. -Y. Hong ◽  
D. -H. Park ◽  
H. -G. Kil ◽  
J. -H. Song
Keyword(s):  
Energy Flow ◽  
Thin Shell ◽  
Vibrational Energy ◽  
Plane Waves ◽  
Flow Models ◽  
Vibrational Energy Flow ◽  
Out Of Plane

Simplified description of out-of-plane waves in thin annular elastic plates

2013 ◽  
Vol 332 (4) ◽  
pp. 894-906 ◽  
Author(s):  
Maziyar N. Zadeh ◽  
Sergey V. Sorokin
Keyword(s):  
Plane Waves ◽  
Elastic Plates ◽  
Out Of Plane
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