1. Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Finite Element Solutions to the Bending Stiffness of a Single-Layered Helically Wound Cable With Internal Friction J. Appl. Mech. 2015;83(3):031003-031003-8. doi:10.1115/1.4032023 Geometry of a 1 + 6 cable: (a) cross section and (b) lateral view. β is the lay angle. ϕ is the angle from x 1 -direction to the radial direction that passes through the center of the cross section of a wire. Figure Legend:

2. Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Finite Element Solutions to the Bending Stiffness of a Single-Layered Helically Wound Cable With Internal Friction J. Appl. Mech. 2015;83(3):031003-031003-8. doi:10.1115/1.4032023 Bending stiffness versus curvature for a 1 + 6 cable according to the theory in Ref. [21] at different tension levels and friction coefficients. The two horizontal dashed lines represent B max and B min, respectively. Figure Legend:

3. Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Finite Element Solutions to the Bending Stiffness of a Single-Layered Helically Wound Cable With Internal Friction J. Appl. Mech. 2015;83(3):031003-031003-8. doi:10.1115/1.4032023 Bending moment versus angle of rotation at the ends obtained by solving Eq. (10) subjected to Eq. (11) Figure Legend:

4. Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Finite Element Solutions to the Bending Stiffness of a Single-Layered Helically Wound Cable With Internal Friction J. Appl. Mech. 2015;83(3):031003-031003-8. doi:10.1115/1.4032023 The mesh of the cable with a lay angle of 17.03 deg used for the fully bonded model Figure Legend:

5. Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Finite Element Solutions to the Bending Stiffness of a Single-Layered Helically Wound Cable With Internal Friction J. Appl. Mech. 2015;83(3):031003-031003-8. doi:10.1115/1.4032023 The coarse mesh of the cable used for the stick-to-slip model Figure Legend:

6. Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Finite Element Solutions to the Bending Stiffness of a Single-Layered Helically Wound Cable With Internal Friction J. Appl. Mech. 2015;83(3):031003-031003-8. doi:10.1115/1.4032023 Contours of u 3, with the directions of isolines indicated by arrows: (a) x2=0.00376m, in D1; (b) x2=0.00376m, in D2; (c) x2=−0.00376m, in D1; and (d) x2=−0.00376m, in D2 Figure Legend:

7. Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Finite Element Solutions to the Bending Stiffness of a Single-Layered Helically Wound Cable With Internal Friction J. Appl. Mech. 2015;83(3):031003-031003-8. doi:10.1115/1.4032023 Finite element solutions corresponding to two different ways of applying friction (μ = 0.5). The coarse mesh is used. Contact between all surfaces is considered. Figure Legend:

8. Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Finite Element Solutions to the Bending Stiffness of a Single-Layered Helically Wound Cable With Internal Friction J. Appl. Mech. 2015;83(3):031003-031003-8. doi:10.1115/1.4032023 Finite element and theoretical solutions: (a) T varies, μ = 0.5 and all contact considered, (b) μ varies, T = 20 kN and all contact considered, and (c) two contact types, T = 20 kN and μ = 0.5 Figure Legend:

9. Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Finite Element Solutions to the Bending Stiffness of a Single-Layered Helically Wound Cable With Internal Friction J. Appl. Mech. 2015;83(3):031003-031003-8. doi:10.1115/1.4032023 Contact pressure on a wire at the beginning of bending: (a) T = 20 kN, coarse mesh, (b) T = 40 kN, coarse mesh, and (c) T = 20 kN, fine mesh. Both wire–core contact and wire–wire contact are taken into account. Figure Legend: