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A study of hierarchical FE solutions of Biot's equations for acoustic modeing of poroelastic medial
KTH, Superseded Departments, Vehicle Engineering.
2001 (English)Licentiate thesis, comprehensive summary (Other scientific)
Place, publisher, year, edition, pages
Stockholm: KTH , 2001. , vi, p.
Series
Trita-FKT, 2001:35
Keyword [en]
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: urn:nbn:se:kth:diva-1319OAI: oai:DiVA.org:kth-1319DiVA: diva2:7139
Note
QC 20100618Available from: 2001-10-23 Created: 2001-10-23 Last updated: 2010-06-18Bibliographically approved
List of papers
1. A 3-D hierarchical Fe formulation of Biot's equations for elasto-acoustic modelling of porous media
Open this publication in new window or tab >>A 3-D hierarchical Fe formulation of Biot's equations for elasto-acoustic modelling of porous media
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.

National Category
Vehicle Engineering
Identifiers
urn:nbn:se:kth:diva-13419 (URN)10.1006/jsvi.2000.3556 (DOI)000170499800003 ()
Note
QC 20100618Available from: 2010-06-18 Created: 2010-06-18 Last updated: 2011-11-15Bibliographically approved
2. hp-extension study of a 3d hierarchical fe formulation of biot's equation for isotropic elasto-acoustic porous media
Open this publication in new window or tab >>hp-extension study of a 3d hierarchical fe formulation of biot's equation for isotropic elasto-acoustic porous media
(English)Manuscript (preprint) (Other academic)
National Category
Vehicle Engineering
Identifiers
urn:nbn:se:kth:diva-13420 (URN)
Note
QC 20100618Available from: 2010-06-18 Created: 2010-06-18 Last updated: 2010-06-18Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf