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TECHNICAL PAPERS

Plastic Collapse of Stainless Steel Optical Tubes Used in Steel Armored Cables

[+] Author and Article Information
Oscar F. “Erik” Slotboom

University of Texas at Austin, 6000 Shepherd Mountain Cove, #2202, Austin, TX 78730erik.slotboom@bus.utexas.edu

J. Mech. Des 122(2), 219-227 (Mar 01, 1999) (9 pages) doi:10.1115/1.533563 History: Received March 01, 1999
Copyright © 2000 by ASME
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References

Fargahi, A., et al., 1993, “Design and Test of a New Metallic Fiber Optic Cable for Aerial Cable Ways.” Proceedings of the 42nd Annual International Wire and Cable Symposium, November 15–18, St. Louis, Missouri.
Cobb, C. C., and P. K. Schultz, 1992, “A Real-time Fiber Optic Downhole Video System.” Paper OTC 7046, presented at the Offshore Technology Conference, May 4–7, Houston, TX.
Paulsson, B. N. P., Cutler, R. P., Kirkendall, G., Chen, S. T., and Giles, J. A., 1996, “An Advanced Seismic Source for Borehole Seismology,” Proceedings of the 66th annual SEG meeting, Denver, Colorado, November 10–13.
Nowak, G., 1974, “Computer Design of Electromechanical Cables for Ocean Applications,” Proceedings of the 10th Annual Conference of the Marine Technology Society. Washington D.C.: Marine Technology Society.
Tension Member Technology, 1991. Cable Solver 1, User’s Manual, Huntington Beach, CA.
Knapp,  R. H., 1979, “Derivation of a New Stiffness Matrix for Helically Armored Cables Considering Tension and Torsion,” Int. J. Numer. Methods Eng., 14, pp. 515–529.
Lanteigne,  J., 1985, “Theoretical Estimation of the Response of Helically Armored Cables to Tension, Torsion, and Bending,” J. Appl. Mech., 52, pp. 423–432.
Costello, G. A., 1990, Theory of Wire Rope, Springer-Verlag.
Slotboom, O. F., 1995, “Simplified Estimation of Helically Steel Armored Cable Elongation, Diameter Reduction, and Rotation,” Proceedings of Oceans 95 MTS/IEEE Conference, San Diego, CA, October, Marine Technology Society, Washington, DC.
Boresi, A. P., and Sidebottom, O. M., 1985, Advanced Mechanics of Materials, Wiley.
Ugural, A. C., and Fenster, S. K., 1995, Advanced Strength and Applied Elasticity, Third Edition, Prentice-Hall.
Mendelson, A., 1968, Plasticity: Theory and Application, Macmillan.
Kammash,  T. B., Murch,  S. A., and Naghdi,  P. M., 1960, “The Elastic-plastic Cylinder Subjected to Radially Distributed Heat Source, Lateral Pressure and Axial Force with Application to Nuclear Fuel Elements,” J. Mech. Phys. Solids, 8, pp. 1–25.

Figures

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(a) Collapse of helical optical tube in laboratory testing, cable #3 of Table 3. (b) Actual field failure of helical optical tube, cable #8 of Table 3.
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(a) EOM cable cross section with central optical tube (cable #1 in Table 3) and (b) three helical optical tubes (cable #5 in Table 3)
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(a) Radially directed force on helical optical tube and (b) observed collapse pattern of tube
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EOM cable with concentric copper serve over central 1.32 mm optical tube (cable #2 of Table 3). This design concentrates pressure on the optical tube, since the copper serve does not carry tangential load but transmits the pressure it sustains directly to the central tube.
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Typical hard cable strain vs. tension response. This applies for all cables, regardless of size and armor steel cross section area. Response values are approximate and will vary from cable to cable. (a) Typical cable where collapse criterion is not achieved. (b) Cable with high tube pressure where the collapse criterion is achieved.
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Planes of maximum shear stress for (a) σzrt, the ordering which exists in the initial plastic zone, (b) σrzt, the ordering which exists when σz becomes negative, and (c) σztr
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Positive internal and external hydrostatic pressure on the thick-walled tube
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Idealized stress-strain diagrams: (a) perfectly plastic, (b) elastic-perfectly plastic, (c) elastic with linear work hardening
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Strain and core pressure for cable design #1
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Cable design #1 stress components for nonhardening and hardening cases with ν=0.5
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Stress distribution across cross section of tube in cable design #1 with cable tension of 44.5 kN. Radial stresses are nearly identical in the hardening and nonhardening cases and are depicted by a single line closest to the stress=0 axis. The legend of Fig. 10 applies.
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Stress calculation for cable #2 of Table 3. The black square represents the cable tension corresponding to the pressure computed by Eq. (30). The legend of Fig. 10 applies.

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