Self-wrapping, braided textile sleeve with self-sustaining expanded and contracted states and method of construction thereof

1. A method of constructing a self-wrapping textile sleeve, comprising:

braiding a plurality of yarns with one another to form a wall extending lengthwise along a central longitudinal axis between opposite ends with at least some of said yarns being provided as heat-settable yarns and non-heat-settable yarns, said wall being moveable between a decreased length, increased cross-sectional area first state and an increased length, decreased cross-sectional area second state;

forming at least some of the yarns as bundles of yarn twisted with one another;

forming at least some of the bundles as bundles of the heat-settable yarn and the non-heat-settable yarn twisted with one another;

forming said wall having opposite free edges extending lengthwise between said opposite ends; and

wrapping said opposite free edges toward one another and heat-setting said heat-settable yarns with said wall being in one of said first state and second state to form heat-set yarns that impart a bias on said wall, said bias causing said wall to self-wrap about the central longitudinal axis into a tubular configuration and causing said wall to remain in each of said first and second states absent an externally applied axial force causing said wall to be moved to the other of said first or second states.

2. The method of claim 1 further including braiding said wall with a lace-braiding machine.

3. The method of claim 1 further including braiding said wall as a seamless, circumferentially continuous wall and then cutting said wall lengthwise to form said opposite free edges.

4. The method of claim 3 further including performing the heat-setting step prior to performing the cutting.

5. The method of claim 3 further including performing the heat-setting step after performing the cutting.

6. The method of claim 1 further including braiding said wall as a substantially flat layer having said opposite free edges.

7. The method of claim 6 further including wrapping said wall about a mandrel and then performing the heat-setting.

8. The method of claim 1 further including forming at least some of the bundles entirely with heat-settable yarn.

9. The method of claim 8 further including forming at least some of the bundles entirely with non-heat-settable yarn.

10. The method of claim 1 further including forming at least some of the bundles entirely with non-heat-settable yarn.

11. The method of claim 1 further including interlinking loops of one bundle with loops of another bundle to interlock the bundles with one another.

12. The method of claim 1 further including providing the heat-settable yarn having a diameter between 0.1-0.40 mm.

13. The method of claim 1 further including braiding at least some of the yarns in non-twisted relation with one another.

14. The method of claim 13 further including providing the yarns in non-twisted relation with one another as non-heat-settable yarn.

15. The method of claim 14 further including braiding the non-twisted, non-heat-settable yarns between bundles of the heat-settable yarn and the non-heat-settable yarn.

16. The method of claim 1 further including providing at least some of the non-heat-settable yarns including at least one of wire, metal coated polymeric yarn filaments, or hybrid yarns including a conductive filament or non-conductive filament served or twisted with another.