A formulation using the finite element method is presented in this paper to analyze stresses and displacements of underground pipelines with initial imperfections. The formulation includes both thermal expansion of the pipeline and internal pressure. The method is based on large deformation beam theory with the finite element formulation based on Euler-Bernoulli beam elements of constant cross-section. The pipe-soil interaction is modeled as a nonlinear elastic foundation in the problem formulation. The resulting nonlinear finite element model with appropriate boundary conditions is solved using full Newton-Raphson as the iterative procedure. Numerical examples are provided to show the application of the methodology and to demonstrate the effect of the initial imperfections in the stress distribution of a buried pipe. The results show that initial imperfections have a considerable influence on the stress distribution of buried pipelines, leading in some cases to stress levels above the allowable limit established by the design codes. The results also help to identify the critical temperature at which buckling of the buried pipe might occur.
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Technical Papers
Buried Pipe Modeling With Initial Imperfections
Junes A. Villarraga,
Junes A. Villarraga
Universidad Simo´n Bolı´var, Departamento de Meca´nica, Apdo. 89000, Caracas, 1080-A, Venezuela
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Jose´ F. Rodrı´guez,
e-mail: jrodri@usb.ve
Jose´ F. Rodrı´guez
Universidad Simo´n Bolı´var, Departamento de Meca´nica, Apdo. 89000, Caracas, 1080-A, Venezuela
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Cora Martı´nez
Cora Martı´nez
Universidad Simo´n Bolı´var, Departamento de Meca´nica, Apdo. 89000, Caracas, 1080-A, Venezuela
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Junes A. Villarraga
Universidad Simo´n Bolı´var, Departamento de Meca´nica, Apdo. 89000, Caracas, 1080-A, Venezuela
Jose´ F. Rodrı´guez
Universidad Simo´n Bolı´var, Departamento de Meca´nica, Apdo. 89000, Caracas, 1080-A, Venezuela
e-mail: jrodri@usb.ve
Cora Martı´nez
Universidad Simo´n Bolı´var, Departamento de Meca´nica, Apdo. 89000, Caracas, 1080-A, Venezuela
Contributed by the Pressure Vessels and Piping Division for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received by the PVP Division February 5, 2003; revision received August 15, 2003. Associate Editor: R. J. Scavuzzo.
J. Pressure Vessel Technol. May 2004, 126(2): 250-257 (8 pages)
Published Online: May 5, 2004
Article history
Received:
February 5, 2003
Revised:
August 15, 2003
Online:
May 5, 2004
Citation
Villarraga , J. A., Rodrı´guez, J. F., and Martı´nez, C. (May 5, 2004). "Buried Pipe Modeling With Initial Imperfections ." ASME. J. Pressure Vessel Technol. May 2004; 126(2): 250–257. https://doi.org/10.1115/1.1688369
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