• español
    • English
  • Self-archive
  • Browse
    • Communities & Collections
    • By Issue Date
    • Authors
    • Titles
    • Subjects
    • Document types
  • English 
    • español
    • English
  • Help
  • Login
 
View Item 
  •   Repositorio Institucional Universidad EAFIT
  • Investigación
  • Escuela de Ingeniería
  • Mecánica Aplicada
  • Artículos
  • View Item
  •   Repositorio Institucional Universidad EAFIT
  • Investigación
  • Escuela de Ingeniería
  • Mecánica Aplicada
  • Artículos
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Variational principles and finite element Bloch analysis in couple stress elastodynamics

Thumbnail
Files
bloch_cst_wave_motion_v3.pdf (705.2Kb)
Date
2021-06-16
Author(s)
Guarín-Zapata, Nicolás
Gomez, Juan
Hadjesfandiari, Ali Reza
Dargush, Gary F.
Metrics
Metadata
Show full item record
Abstract
Abstract
We address the numerical simulation of periodic solids (phononic crystals) within the framework of couple stress elasticity. The additional terms in the elastic potential energy lead to dispersive behavior in shear waves, even in the absence of material periodicity. To study the bulk waves in these materials, we establish an action principle in the frequency domain and present a finite element formulation for the wave propagation problem related to couple stress theory subject to an extended set of Bloch-periodic boundary conditions. A major difference from the traditional finite element formulation for phononic crystals is the appearance of higher-order derivatives. We solve this problem with the use of a Lagrange-multiplier approach. After presenting the variational principle and general finite element treatment, we particularize it to the problem of finding dispersion relations in elastic bodies with periodic material properties. The resulting implementation is used to determine the dispersion curves for homogeneous and porous couple stress solids, in which the latter is found to exhibit an interesting bandgap structure
Documents PDF

loading
 
URI
http://hdl.handle.net/10784/31567
Source / Editor URL

https://www.sciencedirect.com/science/article/pii/S0165212521001074
DOI
10.1016/j.wavemoti.2021.102809
Collections
  • Artículos [101]

My Account

LoginRegister

Statistics

View Usage Statistics

universidad eafit medellin repositorio institucional

Vigilada Mineducación
Universidad con Acreditación Institucional hasta 2026
Resolución MEN 2158 de 2018

Líneas de Atención

Medellín: (57) (604) - 448 95 00
Resto del país: 01 8000 515 900
Conmutador: (57) (604) - 2619500
Carrera 49 N 7 Sur - 50
Medellín, Colombia, Suramérica

Derechos Reservados

DSpace software
copyright © 2002-2016 
Duraspace

Theme by 
@mire NV