Aranha,
J. A. P., Pinto,
M. O., and Silva,
R. M. C., 2001, “On the Dynamic Compression of Risers: an Analytic Expression for the Critical Load,” Appl. Ocean Res., 23, pp. 83–91.
Atanackovic, T. M., 1997, Stability Theory of Elastic Rods, World Scientific Publishing Co., Singapore.
Stump,
D. M., Fraser,
W. B., and Gates,
K. E., 1998, “The Writhing of Circular Cross-Section Rods: Undersea Cables to DNA Supercoils,” Proc. R. Soc. London, Ser. A, A454, pp. 2123–2156.
Love, A. E. H., 1959, A Treatise on the Mathematical Theory of Elasticity, 4th ed., Cambridge University Press.
Rosenthal, F., 1976, “The Application of Greenhill’s Formula to Cable Hockling,” ASME J. Appl. Mech., pp. 681–683.
Coyne,
J., 1990, “Analysis of the Formation and Elimination of Loops in Twisted Cable,” IEEE J. Ocean. Eng., 15(2), pp. 72–83.
Lu,
C. L., and Perkins,
N. C., 1994, “Nonlinear Spatial Equilibria and Stability of Cables under Uni-axial Torque and Thrust,” ASME J. Appl. Mech., 61, pp. 879–886.
Ramos Jr., R., 2001, “Analytical Models for the Structural Behavior Study of Flexible Pipes and Umbilical Cables” (in Portuguese), Ph.D. thesis, University of São Paulo, São Paulo.
Gottlieb,
O., and Perkins,
N. C., 1999, “Local and Global Bifurcation Analyses of a Spatial Cable Elastica,” ASME J. Appl. Mech., 66, pp. 352–360.
Féret,
J. J., and Bournazel,
C. L., 1987, “Calculation of Stresses and Slip in Structural Layers of Unbonded Flexible Pipes,” ASME J. Offshore Mech. Arct. Eng., 109, pp. 263–269.
Witz,
J. A., 1996, “A Case Study in the Cross-Section Analysis of Flexible Risers,” Mar. Struct., 9, pp. 885–904.
Pesce, C. P., 1997, “Mechanics of Submerged Cables and Pipes in Catenary Configuration: an Analytical and Experimental Approach” (in Portuguese), “Livre Doce⁁ncia” Thesis, University of São Paulo, São Paulo.
Pesce,
C. P., Aranha,
J. A. P., Martins,
C. A., Ricardo,
O. G. S., and Silva,
S., 1998, “Dynamic Curvature in Catenary Risers at the Touch Down Point: an Experimental Study and the Analytical Boundary Layer Solution,” Int. J. Offshore Polar Eng., 8(4), pp. 302–310.