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The usage of standard finite element codes for computation of dispersion relations in materials with periodic microstructure
KTH, Superseded Departments, Solid Mechanics.
KTH, Superseded Departments, Solid Mechanics.ORCID iD: 0000-0002-0307-8917
1997 (English)In: Journal of the Acoustical Society of America, ISSN 0001-4966, E-ISSN 1520-8524, Vol. 102, no 4, 2007-2013 p.Article in journal (Refereed) Published
Abstract [en]

A method with which standard finite element programs can be used to compute dispersion relations in periodic composites is proposed. The method is applied to two composite microstructures: a two-phase laminate and a fiber composite. The dispersion relations computed for the laminate are compared with a known analytical solution and the agreement is very good. The dispersion relations computed for the fibrous composite are compared with an existing approximate model and experimental results from the literature. The agreement between the approximate model, the experiments, and the computations is very good in the wave guide case and satisfactory for the wave reflect case.

Place, publisher, year, edition, pages
1997. Vol. 102, no 4, 2007-2013 p.
Keyword [en]
Computer simulation, Computer software, Eigenvalues and eigenfunctions, Finite element method, Laminated composites, Mathematical models, Microstructure, Standards, Finite element codes, Finite element program ABAQUS, Hexagonal fiber composite, Stiffness method
National Category
Mechanical Engineering
URN: urn:nbn:se:kth:diva-25485DOI: 10.1121/1.419652ISI: A1997YE03400011OAI: diva2:358746
QC 20101025Available from: 2010-10-25 Created: 2010-10-25 Last updated: 2010-10-25Bibliographically approved

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Åberg, MatsGudmundson, Peter
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