TY - GEN

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

AU - Shuku, Takayuki

PY - 2009/12/1

Y1 - 2009/12/1

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

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

M3 - Conference contribution

AN - SCOPUS:74549179594

SN - 9781880653531

T3 - Proceedings of the International Offshore and Polar Engineering Conference

SP - 262

EP - 267

BT - The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE

T2 - 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE

Y2 - 21 June 2009 through 26 June 2009

ER -