Embossed multi-ply fibrous structure product
A multi-ply fibrous structure product having two or more plies of fibrous structure where at least one of the plies has a plurality of domes formed during the papermaking process and there are from about 10 to about 1000 domes per square inch of the product. At least one of the plies of the multi-ply fibrous structure has a plurality of embossments thereon with a total embossment area of from about 3% to about 15%. The embossments may be arranged such that they define non-geometric foreground patterns of unembossed cells.
1. A multi-ply fibrous structure product comprising:
two or more plies of fibrous structure wherein at least one of the plies comprises a plurality of domes formed during the papermaking process wherein the ply comprises from about 10 to about 1000 domes per square inch of the ply;
wherein at least one of the plies has a plurality of embossments thereon having a total embossment area of from about 3% to about 15%; and
wherein the embossments form a non-geometric latticework of repeating sets of horizontal S-waves and repeating sets of vertical S-waves
wherein a set of the horizontal S-waves or a set of the vertical S-waves are described by the following equation:
Y 1 =A sin( X 1, horizontal )± CW
Y 2 =A cos( X 2, horizontal +π/2)±( B+CW )
wherein Y 1 and Y 2 are the amplitudes of a set of horizontal S-waves or vertical S-waves in the y-direction;
wherein X 1 and X 2 are the horizontal positions of a set of horizontal S-waves or vertical S-waves measured in degrees;
wherein W is a whole number;
wherein the horizontal S-waves and the vertical S-waves are continuous in the positive and negative x-directions;
wherein A ranges from about 0.3 cm to about 0.7 cm;
wherein B ranges from about 2.75 cm to about 1.75 cm;
wherein C ranges from about 2 cm to about 7 cm;
wherein a full sine or cosine wave ranges from about 6.5 cm to about 2.5 cm.
2. The product of claim 1 wherein a set of the horizontal S-waves or a set of the vertical S-waves.
3. The product of claim 2 wherein the variables (A, B, C) of the horizontal S waves and vertical S-waves are different.
4. The product of claim 2 wherein the variables (A, B, C) of the horizontal S-waves and vertical S-waves are the same.
5. The product of claim 2 wherein the x-axes of the horizontal S-waves are perpendicular to the x-axes of the vertical S-waves.
6. The product of claim 1 wherein the domes are formed in the papermaking process with a resin coated woven belt.
7. The product of claim 1 wherein the cells have a substantially similar surface area.
8. The product of claim 1 wherein the cells have a surface area of from about 0.05 in 2 to about 1.2 in 2 .
9. The product of claim 8 wherein the cells have a surface area of from about 0.4 in 2 to about 0.9 in 2 .
10. The product of claim 1 wherein cells in one ply are not adhered to an adjacent ply.
11. The product of claim 1 wherein there are from about 120 to about 180 domes per square inch.
12. The product of claim 11 wherein the arrangement of the domes is selected from the group consisting of: regular arrangements, random arrangements, multiple regular arrangements, and combinations thereof.
13. The product of claim 1 wherein at least one of the plies of fibrous structure comprises a fibrous structure selected from the group consisting of: through-air-dried fibrous structure plies, differential density fibrous structure plies, wet laid fibrous structure plies, air laid fibrous structure plies, conventional wet press fibrous structure plies, and combinations thereof.
14. The product of claim 1 further comprising an E factor from about 0.0100 to about 3 in 4 /number of embossments.
15. The product of claim 14 wherein the E factor is from about 0.0150 to about 1 in 4 /number of embossments.
16. The product of claim 1 wherein the embossments comprise a height of from about 700 μm to about 1500 μm.