### Abstract

This paper describes the effect of geometric non-linearity on the deformation analysis for linear elastic grounds using the FE analysis. This FE analysis has been formulated by the finite deformation theory based on the up-dated Lagrangian scheme. A deformation characteristic is discussed in comparison the finite deformation theory and the infinitesimal deformation theory to study the effect of geometric nonlinearity. As a result, three main conclusions have been obtained. 1) At the time of small deformation, the both analyses lead the same results, 2) At the time of large deformation, because of the effect of surface expansions, the infinitesimal deformation analysis overestimates lateral displacements when compared with the finite deformation one, and 3) At the time of large deformation, because of the rotation effect, the finite deformation analysis overestimates vertical displacements on a place where the load concentrates when compared with the infinitesimal deformation one. To this end, careful choices are required to use deformation theory in treating a large deformation problem.

Original language | English |
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Title of host publication | Proceedings of the International Offshore and Polar Engineering Conference |

Pages | 262-267 |

Number of pages | 6 |

Publication status | Published - 2009 |

Externally published | Yes |

Event | 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE - Osaka, Japan Duration: Jun 21 2009 → Jun 26 2009 |

### Other

Other | 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE |
---|---|

Country | Japan |

City | Osaka |

Period | 6/21/09 → 6/26/09 |

### Keywords

- FEM
- Finite deformation
- Geometric non-linearity
- Linear elastic model

### ASJC Scopus subject areas

- Energy Engineering and Power Technology
- Mechanical Engineering
- Ocean Engineering

### Cite this

*Proceedings of the International Offshore and Polar Engineering Conference*(pp. 262-267)

**Effect of geometric non-linearity on the deformation behavior of linear elastic ground.** / Shuku, Takayuki.

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

*Proceedings of the International Offshore and Polar Engineering Conference.*pp. 262-267, 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE, Osaka, Japan, 6/21/09.

}

TY - GEN

T1 - Effect of geometric non-linearity on the deformation behavior of linear elastic ground

AU - Shuku, Takayuki

PY - 2009

Y1 - 2009

N2 - This paper describes the effect of geometric non-linearity on the deformation analysis for linear elastic grounds using the FE analysis. This FE analysis has been formulated by the finite deformation theory based on the up-dated Lagrangian scheme. A deformation characteristic is discussed in comparison the finite deformation theory and the infinitesimal deformation theory to study the effect of geometric nonlinearity. As a result, three main conclusions have been obtained. 1) At the time of small deformation, the both analyses lead the same results, 2) At the time of large deformation, because of the effect of surface expansions, the infinitesimal deformation analysis overestimates lateral displacements when compared with the finite deformation one, and 3) At the time of large deformation, because of the rotation effect, the finite deformation analysis overestimates vertical displacements on a place where the load concentrates when compared with the infinitesimal deformation one. To this end, careful choices are required to use deformation theory in treating a large deformation problem.

AB - This paper describes the effect of geometric non-linearity on the deformation analysis for linear elastic grounds using the FE analysis. This FE analysis has been formulated by the finite deformation theory based on the up-dated Lagrangian scheme. A deformation characteristic is discussed in comparison the finite deformation theory and the infinitesimal deformation theory to study the effect of geometric nonlinearity. As a result, three main conclusions have been obtained. 1) At the time of small deformation, the both analyses lead the same results, 2) At the time of large deformation, because of the effect of surface expansions, the infinitesimal deformation analysis overestimates lateral displacements when compared with the finite deformation one, and 3) At the time of large deformation, because of the rotation effect, the finite deformation analysis overestimates vertical displacements on a place where the load concentrates when compared with the infinitesimal deformation one. To this end, careful choices are required to use deformation theory in treating a large deformation problem.

KW - FEM

KW - Finite deformation

KW - Geometric non-linearity

KW - Linear elastic model

UR - http://www.scopus.com/inward/record.url?scp=74549179594&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74549179594&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:74549179594

SN - 9781880653531

SP - 262

EP - 267

BT - Proceedings of the International Offshore and Polar Engineering Conference

ER -