Sheet material having weakness zones and a system for dispensing the material

Dispensable sheet material having opposite side edges spaced apart from one another to define the overall width of the sheet material, the sheet material comprising:

• a plurality of zones of weakness spaced along the sheet material, the zones of weakness comprising a plurality of perforations and frangible sheet material portions, wherein the percent difference between the percent bond of a separation initiation region of the sheet material and the percent bond of a separation control region of the sheet material is less than about 20%, and
• wherein at least about 30% of each of the zones of weakness comprises frangible sheet material portions narrower and greater in frequency than the frangible sheet material portions in the remainder of each of the zones of weakness.

Dispensable sheet material having opposite side edges spaced apart from one another to define the overall width of the sheet material, the sheet material comprising:

• a plurality of zones of weakness spaced along the sheet material, the zones of weakness comprising a plurality of perforations and frangible sheet material portions, wherein the collective center of the centers of gravity of the frangible sheet material portions on at least one side of the center line of the sheet material is substantially closer to a separation initiation region of the sheet material than to a separation control region of the sheet material, and wherein the percent difference between the percent bond of the separation initiation region and the percent bond of the separation control region is less than about 10%.

Dispensable sheet material having opposite side edgeses spaced apart from one another to define the overall width of the sheet material, the sheet material comprising:

• a plurality of zones of weakness spaced along the sheet material, the zones of weakness comprising a plurality of perforations and frangible sheet material portions, wherein the frangible sheet material portions in a separation initiation region the sheet material are narrower and greater in frequency than the frangible sheet material portions in a separation control region of the sheet material, and wherein the percent difference between the percent bond of the separation initiation region and the percent bond of the separation control region is less than about 10%.

Dispensable sheet material having opposite side edgeses spaced apart from one another to define the overall width of the sheet material, the sheet material comprising:

• a plurality of zones of weakness spaced along the sheet material, the zones of weakness comprising a plurality of perforations and frangible sheet material portions, wherein the frangible sheet material portions in a separation initiation region of the sheet material are narrower and greater in frequency than the frangible sheet material portions in a separation control region of the sheet material, wherein the percent difference between the percent bond of the separation initiation region and the percent bond of the separation control region is less than about 20%, and
• wherein the separation control region is near at least one of the edges of the sheet material.

Dispensable sheet material having opposite side edgeses spaced apart from one another to define the overall width of the sheet material, the sheet material comprising:

• a plurality of zones of weakness spaced along the sheet material, the zones of weakness comprising a plurality of perforations and frangible sheet material portions, wherein the frangible sheet material portions in a separation initiation region of the sheet material are narrower and greater in frequency than the frangible sheet material portions in a separation control region of the sheet material, and wherein the ratio of the perforation width in the separation initiation region to the perforation width in the separation control region is less than about 90%.

Dispensable sheet material having opposite side edgeses spaced apart from one other to define the overall width of the sheet material, the sheet material comprising:

• a plurality of zones of weakness spaced along the sheet material, the zones of weakness comprising a plurality of perforations and frangible sheet material portions, wherein the frangible sheet material portions in a separation initiation region of the sheet material are narrower and greater in frequency than the frangible sheet material portions in a separation control region of the sheet material, and wherein the ratio of the average energy absorption capacity per bond in the control region to the average energy absorption capacity per bond in the initiation region is at least about 4.

Dispensable sheet material having opposite side edgeses space apart from one another to define the overall width of the sheet material, the sheet material comprising:

• a plurality of zones of weakness spaced along the sheet material, the zones of weakness comprising a plurality of perforations and frangible sheet material portions, wherein above 20% of each of the zones of weakness comprises frangible sheet material portions narrower and greater in frequency than the frangible sheet material portions in the remainder of each of the zones of weakness, wherein the percent difference between the percent bond of a separation initiation region of the sheet material and the percent bond of a separation control region of the sheet matinee is less than about 20%, and wherein the width of each of a plurality of perforations in the separation initiation region differs from the width of each of a plurality of perforations in the separation control region.

Dispensable sheet material having opposite side edgeses spaced apart from one another to define the overall width of the sheet material, the sheet material comprising:

• a plurality of zones of weakness spaced along the sheet material, the zones of weakness comprising a plurality of perforations and frangible sheet material portions, wherein the collective center of the centers of gravity of the frangible sheet material portions on at least one side of the center line of the sheet material is substantially closer to a separation initiation region of the sheet material than to a separation control region of the sheet material, wherein the percent difference between the percent bond of the separation initiation region and the percent bond of the separation control region is less than about 20%, and wherein the width of each of a plurality of perforations in the separation initiation region differs from the width of each of a plurality of perforations in the separation control region.

Dispensable sheet material having opposite side edgeses spaced apart from one another to define the overall width of the sheet material, the sheet material comprising:

• a plurality of zones of weakness spaced along the sheet material, the zones of weakness comprising a plurality of perforations and frangible sheet material portions, wherein the frangible sheet material portions in a separation initiation region of the sheet material are narrower and greater in frequency than the frangible sheet material portions in a separation control region of the sheet material, wherein the percent difference between the percent bond of the separation initiation region and the percent bond of the separation control region is less than about 20%, and wherein the width of each of a plurality of perforations in the separation initiation region differs from the width of each of a plurality of perforations in the separation control region.

Dispensable sheet material having opposite side edgeses spaced apart from one another to define the overall width of the sheet material, the sheet material comprising:

• a plurality of zones of weakness spaced along the sheet material, the zones of weakness comprising a plurality of perforations and frangible sheet material portions, wherein the frangible sheet material portions in a separation initiation region of the sheet material are narrower and greater in frequency than the frangible sheet material portions in a separation control region of the sheet material, and wherein the width of each of a plurality of perforations in the separation initiation region is less than the width of each of a plurality of perforations in the separation control region.