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A 3-D hierarchical Fe formulation of Biot's equations for elasto-acoustic modelling of porous media
KTH, Superseded Departments, Vehicle Engineering.
KTH, Superseded Departments, Vehicle Engineering.
KTH, Superseded Departments, Vehicle Engineering.ORCID iD: 0000-0003-1855-5437
2001 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 245, no 4, 633-652 p.Article in journal (Refereed) Published
Abstract [en]

A three-dimensional hierarchical finite element formulation of Biot's equation for low frequency elasto-acoustic wave propagation in fluid saturated porous media based on a weak formulation with fluid displacement and solid displacement as dependent variables is presented. A global error measure for evaluation of the convergence is proposed. Numerical simulations of an air saturated polyurethane foam material show faster convergence for the hierarchical extensions than for linear and quadratic serendipity finite element mesh refinement extensions.

Place, publisher, year, edition, pages
2001. Vol. 245, no 4, 633-652 p.
National Category
Vehicle Engineering
Identifiers
URN: urn:nbn:se:kth:diva-13419DOI: 10.1006/jsvi.2000.3556ISI: 000170499800003OAI: oai:DiVA.org:kth-13419DiVA: diva2:325283
Note
QC 20100618Available from: 2010-06-18 Created: 2010-06-18 Last updated: 2017-12-12Bibliographically approved
In thesis
1. A study of hierarchical FE solutions of Biot's equations for acoustic modeing of poroelastic medial
Open this publication in new window or tab >>A study of hierarchical FE solutions of Biot's equations for acoustic modeing of poroelastic medial
2001 (English)Licentiate thesis, comprehensive summary (Other scientific)
Place, publisher, year, edition, pages
Stockholm: KTH, 2001. vi, p.
Series
Trita-FKT, 2001:35
Keyword
FEM, Hierarchical finite element, p-version finite element, Porous materials, Poroelastic material, Biot's equations, Noise and vibration control, Solid displacement - fluid displacement, Convergence
Identifiers
urn:nbn:se:kth:diva-1319 (URN)
Note
QC 20100618Available from: 2001-10-23 Created: 2001-10-23 Last updated: 2010-06-18Bibliographically approved
2. Hierarchical finite element modelling of Biot's equations for vibro-acoustic modelling of layered poroelastic media
Open this publication in new window or tab >>Hierarchical finite element modelling of Biot's equations for vibro-acoustic modelling of layered poroelastic media
2004 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

This thesis concerns three-dimensional finite element modelling of Biot's equations for elasto-acoustic modelling of wave propagation in layered media including porous elastic materials. The concept of hierarchical (p-version) finite elements are combined with various weak forms of Biot's equations. Computationally efficient methods providing accurate solutions of sound propagation in layered porous media are discussed. The research falls within the areas linear acoustics and numerical acoustics. Important applications of the developed methods may be found within vehicle interior acoustics, e.g. engineering design of damping treatment based on multiple layers of porous materials.

Place, publisher, year, edition, pages
Stockholm: KTH, 2004. xiv p.
Series
Trita-AVE, ISSN 1651-7660 ; 2004:46
Keyword
Engineering physics, finite element, hierarchical, Biot, porous material, vibro-acoustic, Teknisk fysik
National Category
Other Engineering and Technologies
Identifiers
urn:nbn:se:kth:diva-95 (URN)91-7283-927-9 (ISBN)
Public defence
2004-12-12, kollegiesalen, Valhallavägen 79, Stockholm, 14:15
Opponent
Supervisors
Note
QC 20100618Available from: 2004-12-10 Created: 2004-12-10 Last updated: 2012-03-13Bibliographically approved

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Göransson, Peter

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