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Research Papers: Structures and Safety Reliability

Finite Element Analysis of Flexible Pipes Under Compression: Influence of the Friction Coefficient

[+] Author and Article Information
Eduardo Ribeiro Malta

Department of Mechanical Engineering,
University of São Paulo,
Avenida Prof. Luciano Gualberto,
travessa 3 n° 380,
05508-010 São Paulo, SP, Brazil
e-mail: edurmalta@gmail.com

Clóvis de Arruda Martins

Department of Mechanical Engineering,
University of São Paulo,
Avenida Prof. Luciano Gualberto,
travessa 3 n° 380,
05508-010 São Paulo, SP, Brazil
e-mail: cmartins@usp.br

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the Journal of Offshore Mechanics and Arctic Engineering. Manuscript received September 28, 2017; final manuscript received January 21, 2019; published online March 25, 2019. Assoc. Editor: Hagbart S. Alsos.

J. Offshore Mech. Arct. Eng 141(6), 061601 (Mar 25, 2019) (11 pages) Paper No: OMAE-17-1177; doi: 10.1115/1.4042941 History: Received September 28, 2017; Accepted January 23, 2019

In order to study the compressive behavior of flexible pipes, a nonlinear finite element model was developed. This fully tridimensional model recreates a five-layer flexible pipe with two tensile armor layers, an external polymeric sheath, an orthotropic high strength tape, and a rigid inner nucleus. The friction coefficient is known as a key parameter in determining the instability response of flexible pipes’ tensile armor. Since the featured model includes all nonlinear frictional contacts between the layers, it has been used to conduct several experiments in order to investigate its influence on the response. This article includes a description of the finite element model itself and a case study where the friction between the layers of the pipe is changed. The procedure of this analysis is described here, along with the results.

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References

Braga, M. P., and Kaleff, P., 2004, “Flexible Pipe Sensitivity to Birdcaging and Armor Wire Lateral Buckling,” Proceedings of the 23rd International Conference on Offshore Mechanics and Arctic Engineering, Vancouver, Canada.
Custodio, A. B., Lemos, C. A., Troina, L. M., and Almeida, M. C., 2007, “Recent Researches on the Instability of Flexible Pipe’s Armours,” Proceedings of the 17th International Offshore and Polar Engineering Conference, Lisbon, Portugal.
Troina, L. M. B., Mourelle, M. M., Brack, M., Sousa, J. R., and Siqueira, M. Q., 2002, “A Strategy for Flexible Risers Analysis Focused on Compressive Failure Mode,” Proceedings of the 14th Deep Offshore Technology, New Orleans, LA.
Brack, M., Troina, L. M. B., and Sousa, J. R. M., 2005, “Flexible Riser Resistance Against Combined Axial Compression, Bending and Torsion in Ultra-Deep Water Depths,” Proceedings of the 24th International Conference on Ocean, Offshore and Arctic Engineering, Halkidiki, Greece.
Perdizet, T., Leroy, J. M., Barbin, N., Le-Corre, V., Charliac, D., and Estrier, P., 2011, “Stresses in Armour Layers of Flexible Pipes: Comparison of Abaqus Models,” 2011 SIMULIA Customer Conference, Barcelona, Spain.
Sertã, O., Fumis, R., Connaire, A., Smith, J., Tanaka, R., Barbosa, T., and Godinho, C., 2012, “Predictions of Armour Wire Buckling for a Flexible Pipe Under Compression, Bending and External Pressure Loading,” Proceedings of the 31st International Conference on Ocean, Offshore and Arctic Engineering, Rio de Janeiro, Brazil.
Connaire, A., Smith, J., Nestor, R., Tanaka, R., and Albuquerque, E., 2013, “Validation of Solid Modelling and Analysis Techniques for Response Prediction of Deepwater Flexible Pipe,” Proceedings of the 32nd International Conference on Ocean, Offshore and Arctic Engineering, Nantes, France.
Vaz, M. A., and Rizzo, N. A. S., 2011, “A Finite Element Model for Flexible Pipe Armor Wire Instability,” J. Mar. Struct., 24(3), pp. 275–291. [CrossRef]
Sousa, J. M., Viero, P. F., Magluta, C., and Roitman, N., “An Experimental and Numerical Study on the Axial Compression Response of Flexible Pipes,” ASME J. Offshore Mech. Arct. Eng., 134(3), p. 031703. [CrossRef]
Malta, E. R., and Martins, C. A., 2014, “Finite Element Analysis of Flexible Pipes Under Compression,” Proceedings of the ASME 33rd International Conference on Ocean, Offshore and Arctic Engineering, San Francisco, CA.
Malta, E. R., and Martins, C. A., 2016, “Finite Element Analysis of Flexible Pipes Under Compression: Influence of the Sample Length,” ASME J. Offshore Mech. Arct. Eng., 139(1), p. 011701. [CrossRef]
Burgoyne, C. J., and Brown, I. F., 1997, “Transverse Properties of Bulk Aramid Fibers,” 3rd International Symposium on Non-Metallic (FRP) Reinforcement for Concrete Structures (FRPRCS-3), Sapporo, Japan.
Zhu, D., Mobasher, B., and Rajan, S. D., “Dynamic Tensile Testing of Kevlar 49 Fabrics,” J. Mater. Civil Eng., 23(3), pp. 230–239. [CrossRef]

Figures

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Fig. 1

Compressive failure modes: (a) radial buckling and (b) lateral buckling [1]

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Fig. 2

Details of the FE model (adapted from Vaz and Rizzo [8])

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Fig. 3

The complete flexible pipe model [9]

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Fig. 4

General aspect of the mesh (with shell thickness)

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Fig. 5

One side of the model was clamped (external layers removed for tensile armor visualization)

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Fig. 6

Side view of the polymeric layer showing the “sleeves”

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Fig. 7

Stress × strain curve for HDPE

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Fig. 8

Stress × strain curve for Kevlar

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Fig. 9

Wrinkling of the high strength tape

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Fig. 10

Sample with 0.0 friction coefficient, shortly before instability (internal armor). Von Mises stress in MPa.

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Fig. 11

Sample with 0.0 friction coefficient, shortly before instability (external armor). Von Mises stress in MPa.

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Fig. 12

Sample with 0.0 friction coefficient, after instability (external armor). Von Mises stress in MPa.

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Fig. 13

Sample with 0.0 friction coefficient, at the end of the simulation (external armor). Von Mises stress in MPa.

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Fig. 14

Sample with 0.0 friction coefficient. Reaction force on each layer versus axial imposed deformation.

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Fig. 15

Sample with 0.0 friction coefficient. Total reaction force versus axial imposed deformation for the whole model.

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Fig. 16

Sample with 0.01 friction coefficient, shortly before instability (internal armor). Von Mises stress in MPa.

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Fig. 17

Sample with 0.01 friction coefficient, after instability (external armor). Von Mises stress in MPa.

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Fig. 18

Sample with 0.01 friction coefficient, at the end of the simulation (external armor). Von Mises stress in MPa.

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Fig. 19

Sample with 0.01 friction coefficient. Reaction force on each layer versus axial imposed deformation.

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Fig. 20

Sample with 0.01 friction coefficient. Total reaction force versus axial imposed deformation for the whole model.

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Fig. 21

Sample with 0.05 friction coefficient, shortly before instability (external armor). Von Mises stress in MPa.

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Fig. 22

Sample with 0.05 friction coefficient, after instability (external armor). Von Mises stress in MPa.

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Fig. 23

Sample with 0.05 friction coefficient, at the end of the simulation (external armor). Von Mises stress in MPa.

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Fig. 24

Sample with 0.05 friction coefficient. Reaction force on each layer versus axial imposed deformation.

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Fig. 25

Sample with 0.05 friction coefficient. Total reaction force versus axial imposed deformation for the whole model.

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Fig. 26

Sample with 0.10 friction coefficient, shortly before instability (external armor). Von Mises stress in MPa.

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Fig. 27

Sample with 0.10 friction coefficient, after instability (external armor). Von Mises stress in MPa.

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Fig. 28

Sample with 0.10 friction coefficient. Reaction force on each layer versus axial imposed deformation.

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Fig. 29

Sample with 0.10 friction coefficient. Total reaction force versus axial imposed deformation for the whole model.

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Fig. 30

Sample with 0.15 friction coefficient. Reaction force on each layer versus axial imposed deformation.

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Fig. 31

Sample with 0.15 friction coefficient. Total reaction force versus axial imposed deformation for the whole model.

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Fig. 32

Sample with 0.20 friction coefficient. Reaction force on each layer versus axial imposed deformation.

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Fig. 33

Sample with 0.20 friction coefficient. Total reaction force versus axial imposed deformation for the whole model.

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Fig. 34

Sample with 0.25 friction coefficient, shortly before instability (internal armor). Von Mises stress in MPa.

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Fig. 35

Sample with 0.25 friction coefficient, shortly before instability (external armor). Von Mises stress in MPa.

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Fig. 36

Sample with 0.25 friction coefficient, after instability (internal armor). Von Mises stress in MPa.

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Fig. 37

Sample with 0.25 friction coefficient. Reaction force on each layer versus axial imposed deformation.

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Fig. 38

Sample with 0.25 friction coefficient. Total reaction force versus axial imposed deformation for the whole model.

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Fig. 39

Friction coefficient effect on the critical load

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Fig. 40

Comparison graphs for the layers’ yielding

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Fig. 41

Reaction force versus axial relative deformation curve for all five-model variants

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