Mode-enriched dispersion models of periodic materials within a multiscale mixed finite element framework

Finite Elements in Analysis and Design

Volumn 42, Issue 7 SPEC. ISS., 2006, Pages 602-612

  Hussein, Mahmoud I ^a,b   Hulbert, Gregory M ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Floquet Bloch wave vectors; High frequency dispersion; Mixed finite elements; Mode enrichment; Multiscale modeling; Periodic media; Phononic crystals

Indexed keywords

CRYSTALS; DISPERSIONS; EIGENVALUES AND EIGENFUNCTIONS; ELASTIC WAVES; FINITE ELEMENT METHOD; FREQUENCY DOMAIN ANALYSIS; PHOTONS; STRAIN;

ELASTIC WAVE PROPAGATIOPN; MIXED FINITE ELEMENTS; MULTISCALE MODELING;

WAVE PROPAGATION;

EID: 33644499748     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2005.11.002     Document Type: Article

References (15)

1. M.I. Hussein, G.M. Hulbert, and R.A. Scott Band-gap engineering of elastic wave guides using periodic materials Proceedings of the 2003 ASME International Mechanical Engineering Congress and R&D Expo 2003 ASME Publication New York 799 807
2. M.I. Hussein, Dynamics of banded materials and structures: analysis, design and computation in multiple scales, Ph.D. Thesis, Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, 2004.
3. M.I. Hussein, G.M. Hulbert, R.A. Scott, Dispersive elastodynamics of 1D banded materials and structures: analysis, J. Sound Vib. 289 (2006) 779-806.
4. D.C. Dobson An efficient method for band structure calculations in 2D photonic crystals J. Comput. Phys. 149 1999 363 376
5. W. Axmann, and P. Kuchment An efficient finite element method for computing spectra of photonic and acoustic band-gap material - part 1: scalar case J. Comput. Phys. 150 1999 468 481
6. O. Sigmund, and J.S. Jensen Systematic design of phononic band-gap materials and structures by topology optimization Philos. Trans. R. Soc. London A 361 2003 1001 1019
7. T.W. McDevitt, G.M. Hulbert, and N. Kikuchi An assumed strain method for the dispersive global-local modeling of periodic structures Comput. Methods Appl. Mech. Eng. 190 2001 6425 6440
8. T.W. McDevitt, Elastodynamics and wave propagation in periodic Structures, Ph.D. Thesis, Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, 1998.
9. J. Fish, and W. Chen Uniformly valid multiple spatial-temporal scale modeling for wave propagation in heterogeneous media Mech. Comp. Mater. Struct. 8 2001 81 99
10. Z.P. Wang, and C.T. Sun Modeling micro-inertia in heterogeneous materials during dynamic loading Wave Motion 36 2002 473 485
11. P. Ladeveze, and A. Nouy On a multiscale computational strategy with time and space homogenization for structural mechanics Comput. Methods Appl. Mech. Eng. 192 2003 3061 3087
12. K. Washizu Variational Methods in Elasticity and Plasticity 1968 Pergamon Press Oxford, England
13. T.J.R. Hughes The Finite Element Method: Linear Static and Dynamic Finite Element Analysis 2000 Dover Publications New York
14. M.I. Hussein, A dominant mode selection scheme for coupled structure analysis, in: Proceedings of the International Modal Analysis Conference XXI, Kissimmee, FL, 2003, pp. 1-7 (CD ROM).
15. C.T. Sun, J.D. Achenbach, and G. Herrmann Continuum theory for a laminated medium J. Appl. Mech. 35 1968 467 475