Large strain formulations of extensible flexible marine pipes transporting fluid

This paper develops mathematical formulations for large strain analysis of extensible flexible marine pipes transporting fluid in two different coordinates: Cartesian and natural coordinates. Both the virtual work method and the vectorial method are applied to generate the large strain formulations, in which deformation descriptions based upon the total Lagrangian, the updated Lagrangian, and the Eulerian mechanics are taken into consideration. The new ideas used in the model formulations deal with applications of the extensible elastica theory and the apparent tension concept to handle combined action of the effect of axial deformation with large strain and behaviour of flow of transported fluid inside the pipe including the effect of Poisson's ratio. The present models cover nonlinear statics and nonlinear dynamics, and provide flexibility in the choice of the independent variables used to define the elastic curves.

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