### 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 language | English (US) |
---|---|

Title of host publication | Poromechanics IV - 4th Biot Conference on Poromechanics |

Publisher | DEStech Publications |

Pages | 890-895 |

Number of pages | 6 |

ISBN (Print) | 9781605950068 |

State | Published - 2009 |

Externally published | Yes |

Event | 4th Biot Conference on Poromechanics - New York, United States Duration: Jun 8 2009 → Jun 10 2009 |

### Other

Other | 4th Biot Conference on Poromechanics |
---|---|

Country | United States |

City | New York |

Period | 6/8/09 → 6/10/09 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Poromechanics IV - 4th Biot Conference on Poromechanics.*DEStech Publications, pp. 890-895, 4th Biot Conference on Poromechanics, New York, United States, 6/8/09.

}

TY - GEN

T1 - Finite-element analysis of the bending of a saturated beam

AU - Scherer, G. W.

AU - Prévost, J. H.

AU - Wang, Zhihua

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84928122105&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84928122105&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84928122105

SN - 9781605950068

SP - 890

EP - 895

BT - Poromechanics IV - 4th Biot Conference on Poromechanics

PB - DEStech Publications

ER -