Finite-element analysis of the bending of a saturated beam

G. W. Scherer, J. H. Prévost, Zhihua Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Fully coupled analysis of a narrow poroelastic beam subjected to constant deflection and biaxial flow has proved intractable, but an approximate uncoupled solution does exist. Finite element analysis of this problem shows that the uncoupled approximation is quite accurate with respect to reaction force, pore pressure and strains. As the width-to-thickness ratio of the beam increases, the error in the analytical solution increases, because it does not allow for bending in the transverse plane. This could be included by using plate theory to enhance the accuracy of the uncoupled solution, but the result would remain approximate, and the errors in the simpler solution are small enough that the extra complication would rarely be justified.

Original languageEnglish (US)
Title of host publicationPoromechanics IV - 4th Biot Conference on Poromechanics
PublisherDEStech Publications
Pages890-895
Number of pages6
ISBN (Print)9781605950068
StatePublished - 2009
Externally publishedYes
Event4th Biot Conference on Poromechanics - New York, United States
Duration: Jun 8 2009Jun 10 2009

Other

Other4th Biot Conference on Poromechanics
CountryUnited States
CityNew York
Period6/8/096/10/09

Fingerprint

Finite element method
plate theory
thickness ratio
Pore pressure
deflection
porosity
approximation

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Condensed Matter Physics
  • Mechanics of Materials

Cite this

Scherer, G. W., Prévost, J. H., & Wang, Z. (2009). Finite-element analysis of the bending of a saturated beam. In Poromechanics IV - 4th Biot Conference on Poromechanics (pp. 890-895). DEStech Publications.

Finite-element analysis of the bending of a saturated beam. / Scherer, G. W.; Prévost, J. H.; Wang, Zhihua.

Poromechanics IV - 4th Biot Conference on Poromechanics. DEStech Publications, 2009. p. 890-895.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Scherer, GW, Prévost, JH & Wang, Z 2009, Finite-element analysis of the bending of a saturated beam. in Poromechanics IV - 4th Biot Conference on Poromechanics. DEStech Publications, pp. 890-895, 4th Biot Conference on Poromechanics, New York, United States, 6/8/09.
Scherer GW, Prévost JH, Wang Z. Finite-element analysis of the bending of a saturated beam. In Poromechanics IV - 4th Biot Conference on Poromechanics. DEStech Publications. 2009. p. 890-895
Scherer, G. W. ; Prévost, J. H. ; Wang, Zhihua. / Finite-element analysis of the bending of a saturated beam. Poromechanics IV - 4th Biot Conference on Poromechanics. DEStech Publications, 2009. pp. 890-895
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