Bloch waves in an array of elastically connected periodic slender structures

2021 ◽  
Vol 155 ◽  
pp. 107591
Author(s):  
Danilo Karličić ◽  
Milan Cajić ◽  
Stepa Paunović ◽  
Sondipon Adhikari
Keyword(s):  
Bloch Waves ◽  
Slender Structures

Application of Modified Bloch Waves to Image Analysis of Extended Linear Defects

1974 ◽  
Vol 32 ◽  
pp. 402-403
Author(s):  
S. Nakahara ◽  
D. M. Maher
Keyword(s):  
Image Analysis ◽  
Computational Approach ◽  
Dislocation Loops ◽  
Plane Wave Expansion ◽  
Dynamical Equations ◽  
Bloch Waves ◽  
Linear Defects ◽  
Imperfect Crystal ◽  
Localized Defects ◽  
Defective Crystals

Since Head first demonstrated the advantages of computer displayed theoretical intensities from defective crystals, computer display techniques have become important in image analysis. However the computational methods employed resort largely to numerical integration of the dynamical equations of electron diffraction. As a consequence, the interpretation of the results in terms of the defect displacement field and diffracting variables is difficult to follow in detail. In contrast to this type of computational approach which is based on a plane-wave expansion of the excited waves within the crystal (i.e. Darwin representation ), Wilkens assumed scattering of modified Bloch waves by an imperfect crystal. For localized defects, the wave amplitudes can be described analytically and this formulation has been used successfully to predict the black-white symmetry of images arising from small dislocation loops.

VIBRATION CONTROL OF SLENDER STRUCTURES WITH OPTIMIZED LIQUID COLUMN VIBRATION ABSORBERS

2019 ◽  
Author(s):  
Jéssica Carolina Barbosa Vieira ◽  
Thiago da Silva ◽  
Carlos Alberto Bavastri
Keyword(s):  
Vibration Control ◽  
Liquid Column ◽  
Vibration Absorbers ◽  
Slender Structures

Aerodynamic Instability of Circular Slender Structures Due to Bistable Flow Activity

2021 ◽  
pp. 1-7
Author(s):  
Adel Benidir ◽  
Olivier Flamand ◽  
Grigorios Dimitriadis ◽  
Philippe Delpech
Keyword(s):  
Aerodynamic Instability ◽  
Flow Activity ◽  
Bistable Flow ◽  
Slender Structures

Guided and standing Bloch waves in periodic elastic strips

2009 ◽  
Vol 19 (2) ◽  
pp. 321-346 ◽  
Author(s):  
Samuel D.M. Adams ◽  
Richard V. Craster ◽  
Sebastien Guenneau
Keyword(s):  
Bloch Waves

scholarly journals Rayleigh–Bloch waves along elastic diffraction gratings

2015 ◽  
Vol 471 (2173) ◽  
pp. 20140465 ◽  
Author(s):  
D. J. Colquitt ◽  
R. V. Craster ◽  
T. Antonakakis ◽  
S. Guenneau
Keyword(s):  
Boundary Conditions ◽  
Numerical Simulations ◽  
Elastic System ◽  
Diffraction Gratings ◽  
Effective Medium ◽  
Scalar Wave ◽  
Trapped Modes ◽  
Bloch Waves

Rayleigh–Bloch (RB) waves in elasticity, in contrast to those in scalar wave systems, appear to have had little attention. Despite the importance of RB waves in applications, their connections to trapped modes and the ubiquitous nature of diffraction gratings, there has been no investigation of whether such waves occur within elastic diffraction gratings for the in-plane vector elastic system. We identify boundary conditions that support such waves and numerical simulations confirm their presence. An asymptotic technique is also developed to generate effective medium homogenized equations for the grating that allows us to replace the detailed microstructure by a continuum representation. Further numerical simulations confirm that the asymptotic scheme captures the essential features of these waves.

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