Cupstock with rim-formation index and associated methods and rimmed cup products

1. A paperboard cupstock comprising fibers that are predominantly derived from recycled paper for formation into a cup having an integral upper rim, the cupstock having a rim-formation index (RFI) above a predetermined threshold, the RFI being determined based on a thickness of the cupstock, a machine direction ring crush of the cupstock, a machine direction bending stiffness of the cupstock and an areal density of the cupstock.

2. The cupstock of claim 1 , wherein the predetermined threshold of the RFI is 450 J/kg.

3. The cupstock of claim 1 , wherein the fibers used in the cupstock are at least 80 wt % derived from recycled paper.

4. The cupstock of claim 1 , wherein the paperboard cupstock is formed as a multi-ply board.

5. The cupstock of claim 1 , wherein the paperboard cupstock is formed as a two-ply board.

6. The cupstock of claim 1 , wherein the paperboard cupstock is calendered.

7. The cupstock of claim 1 , wherein the RFI has the following formula:

RFI

=

RCT

36

⁢

⁢

ρ

⁢

(

1

+

ɛ

)

⁢

⁢

where

⁢

⁢

ɛ

=

t

2

⁢

RCT

S

b

;

wherein RCT is the machine direction ring crush of the cupstock; ρ is the areal density of the cupstock; t is the thickness of the cupstock; S b is machine direction bending stiffness.

8. The cupstock of claim 7 , wherein the predetermined threshold is determined based on a predetermined RCT/36ρ between about 400 and about 550 J/Kg.

9. The cupstock claim 7 , wherein the predetermined threshold is determined based on a predetermined (1+ε) between about 1.03 and about 1.05.

10. The cupstock of claim 7 , wherein the predetermined threshold is between 370 and 580 J/Kg.

11. The cupstock of claim 7 , wherein the RFI is within a predetermined range that is about 430 to about 500 J/Kg.

12. The cupstock of claim 7 , wherein the RFI is within a predetermined range that is about 370 to about 580 J/Kg.

13. The cupstock of claim 12 , wherein the thickness is between 250 μm and 500 μm, the machine direction ring crush is between 60 and 260 pounds per six inches, the machine direction bending stiffness is between 4 and 55 mNm, and the areal density of the cupstock can be between 0.15 and 0.4 Kg/m 2 .

14. The cupstock of claim 13 , wherein the cupstock further has a rugosity of less than about 400 Sheffield units.

15. The cupstock of claim 1 , wherein all of the fibers used in the cupstock are derived from recycled paper.

16. The cupstock of claim 15 , wherein all of the recycled paper that is used is derived from old corrugated cardboard (OCC).

17. The cupstock of claim 15 , wherein at least some of the recycled paper includes or is derived from old corrugated cardboard (OCC), trim material and/or off-specification material from a corrugated cardboard manufacturing process.

18. A paperboard cupstock comprising fibers that are predominantly derived from recycled paper for formation into a cup having an integral upper rim, the cupstock having a rim-formation index (RFI) that is proportional to a deformation factor and a compression strength factor, and wherein the RFI is provided such that the deformation factor and the compression strength factor are within a selected RFI envelope.

19. The cupstock of claim 18 , wherein the deformation factor is (1+ε) where ε is:

ɛ

=

t

2

⁢

RCT

S

b

where t is the thickness of the cupstock, RCT is the ring crush in the machine direction, and S b is the bending stiffness in the machine direction.

20. The cupstock of claim 18 , wherein all of the fibers used in the cupstock are derived from recycled paper.

21. The cupstock of claim 18 , wherein the deformation factor is between about 1.03 and about 1.05.

22. The cupstock of claim 21 , wherein the compression strength factor is above about 400 J/Kg, above about 420 J/Kg, above about 430 J/Kg, above about 440 J/Kg or above about 450 J/Kg.

23. The cupstock of claim 22 , wherein the compression strength factor is below about 550 J/Kg.

24. A rimmed cup made from the cupstock as defined in claim 1 .

25. A process for manufacturing a cupstock for use in making a rimmed cup with an integral rim, the process comprising:

pulping recycled paper to form a pulp;

screening and cleaning the pulp to form a screened pulp;

refining the screened pulp to form a refined pulp;

subjecting the refined pulp to sheet formation to form the cupstock; and

controlling one or more of steps of the process such that the cupstock roll has a rim-formation index (RFD, wherein (i) the RFI is above a predetermined threshold and is determined based on a thickness of the cupstock, a machine direction ring crush of the cupstock, a machine direction bending stiffness of the cupstock and an areal density of the cupstock; or (ii) the RFI is proportional to a deformation factor and a compression strength factor, and wherein the RFI is provided such that the deformation factor and the compression strength factor are within a selected RFI envelope; or (iii) the RFI is above a predetermined threshold and is based on a ratio between compression strength and flexural rigidity.

26. The process of claim 25 , wherein subjecting the refined pulp to sheet formation comprises:

spreading the refined pulp to produce a pulp layer;

draining the pulp layer to form a ply;

combining plys together to form a multi-ply paperboard;

pressing the multi-ply paperboard to form a pressed board;

drying the pressed board to form a dried board that forms the cupstock;

calendering the dried board to form a calendered board that forms the cupstock; and

winding the calendered board to form a cupstock roll of the cupstock.