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Weak, anisotropic symmetric formulations of Biot's equations for vibro-acoustic modelling of porous elastic materials
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, MWL Numerical acoustics.
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, MWL Numerical acoustics.ORCID iD: 0000-0003-1855-5437
2010 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 84, no 12, 1519-1540 p.Article in journal (Refereed) Published
Abstract [en]

In this paper a fully anisotropic symmetric weak formulation of Biot's equations for vibro-acoustic modelling of porous elastic materials in the frequency domain is proposed. Starting from Biot's equations in their anisotropic form, a mixed displacement-pressure formulation is discussed in terms of Cartesian tensors. The anisotropic equation parameters appearing in the differential equations are derived from material parameters which are possible to determine through experimental testing or micro-structural simulations of the fluid and the porous skeleton. Solutions are obtained by applying the finite element method to the proposed weak form and the results are verified against a weak displacement-based formulation for a foam and plate combination.

Place, publisher, year, edition, pages
2010. Vol. 84, no 12, 1519-1540 p.
Keyword [en]
Biot, porous, elastic, acoustic, anisotropic, displacement, pressure, mixed, weak formulation, finite element method
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-28592DOI: 10.1002/nme.2955ISI: 000285261100005Scopus ID: 2-s2.0-77951228260OAI: oai:DiVA.org:kth-28592DiVA: diva2:388168
Note
QC 20110117Available from: 2011-01-17 Created: 2011-01-17 Last updated: 2017-12-11Bibliographically approved

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Göransson, Peter

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