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  4. Bloch Theorem With Revised Boundary Conditions Applied To Glide Plane And Screw Axis Symmetric, Quasi-One-Dimensional Structures
 
conference paper

Bloch Theorem With Revised Boundary Conditions Applied To Glide Plane And Screw Axis Symmetric, Quasi-One-Dimensional Structures

Maurin, F.
•
Spadoni, A.  
Onate, E
•
Oliver, X
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2014
11Th World Congress On Computational Mechanics; 5Th European Conference On Computational Mechanics; 6Th European Conference On Computational Fluid Dynamics, Vols Ii - Iv
11th World Congress on Computational Mechanics (WCCM) / 5th European Conference on Computational Mechanics (ECCM) / 6th European Conference on Computational Fluid Dynamics (ECFD)

Bloch theorem provides a useful tool to analyze wave propagation in periodic systems. It has been widely used in physics to obtain the energy bands of various translationally-periodic cristals and with the advent of nanosciences like nanotubes, it has been extended to additional symmetries using group theory. However, this work is restricted to homogenous equations. For complexe problems, as engineering structures, the peridic unit cell are often discretized and Bloch method is restricted to translational periodicity. The goal of this paper is to generalize the direct and transfer propagation Bloch method to structures with in glide plane or screw axis symmetries by deriving appropriate boundary conditions. Dispersion relations for a set of problems is then given and compared to results from the classical method, if available. It is found that (i) the dispersion curves are easier to interpret, (ii) the computational cost and error is reduced, and (iii) revisited Bloch method is applicable to structures that do not possess purely-translational symmetries for which the classical method is not applicable.

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Type
conference paper
Web of Science ID

WOS:000353626505012

Author(s)
Maurin, F.
Spadoni, A.  
Editors
Onate, E
•
Oliver, X
•
Huerta, A
Date Issued

2014

Publisher

Int Center Numerical Methods Engineering

Publisher place

08034 Barcelona

Published in
11Th World Congress On Computational Mechanics; 5Th European Conference On Computational Mechanics; 6Th European Conference On Computational Fluid Dynamics, Vols Ii - Iv
ISBN of the book

978-84-942844-7-2

Total of pages

11

Start page

3804

End page

3814

Subjects

Bloch theorem

•

Boundary conditions

•

Discretized unit cell

•

Glide plane and screw axis symmetries

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LOMI  
Event nameEvent placeEvent date
11th World Congress on Computational Mechanics (WCCM) / 5th European Conference on Computational Mechanics (ECCM) / 6th European Conference on Computational Fluid Dynamics (ECFD)

Barcelona, SPAIN

JUL 20-25, 2014

Available on Infoscience
May 29, 2015
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/114826
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