Calculating Crease Matrix Dimensions for Uncoated Folding Cartonboard

Calculate crease matrix width by multiplying uncoated cartonboard caliper by 1.5 and adding rule thickness, setting channel depth equal to board caliper.

25.09.26 7 min

Rule

Precision creasing of uncoated folding cartonboard requires matching creasing rule width and matrix channel geometry to the substrate’s caliper and ply structure. Without a mineral pigment coating to cushion compressive forces, uncoated board exposes its raw cellulosic matrix directly to the steel rule. Calculating crease matrix width relies on sheet caliper, creasing rule thickness, and an empirical multiplier reflecting fiber stiffness:

Channel Width = (Caliper × k) + Rule Thickness

The industry multiplier k for folding cartonboard ranges from 1.4 to 1.7. Standard uncoated solid bleached sulfate (SBS) and virgin folding boxboard (FBB) use a multiplier of 1.5. Uncoated unbleached kraft (CUK or SUS) contains long, high-tensile virgin fibers that resist shear deformation, elevating the multiplier to 1.6 or 1.7.

High-density recycled chipboard (WLC), made from short, repeatedly dried fibers, fractures under excessive lateral clearance and needs a tighter 1.4 multiplier to hold the crease bead.

Matrix calculation parameters for uncoated board grades under ISO 187 conditioning at 23 degrees Celsius and 50 percent relative humidity
Board Grade Fiber Type Density Range (g/cm³) Width Multiplier (k) Depth Factor
Uncoated FBB (UC2) Mechanical middle, chemical plies 0.55 to 0.70 1.5 1.00 × Caliper
Uncoated SBS (UC1) Bleached chemical sulfate 0.75 to 0.85 1.5 1.00 × Caliper
Uncoated Kraft (CUK/SUS) Unbleached long-fiber kraft 0.70 to 0.80 1.6 to 1.7 0.95 × Caliper
Uncoated Recycled (WLC/CRB) Mixed recovered furnish 0.80 to 0.95 1.4 1.05 × Caliper

Matrix channel depth matches board caliper directly in standard production runs; a 400-micron board pairs with a 0.40 mm depth. Creasing rule height is calculated by subtracting matrix depth from cutting rule height. On a standard flatbed die using 23.80 mm cutting rules, a 0.40 mm board takes a 23.40 mm creasing rule.

A 450-micron uncoated kraft sheet creased with a 0.71 mm rule at 23 degrees Celsius demands a matrix channel width of exactly 1.43 mm.

Creasing rule selection determines matrix longevity and groove wear. Steel rules with a 2-point thickness (0.71 mm) suit board calipers up to 500 microns. Beyond 500 microns, 3-point rules (1.05 mm) prevent the steel from cutting inner plies during penetration.

Heavy-duty boards above 750 microns take 4-point rules (1.42 mm) to distribute platen pressure evenly across the fold.

Underestimating channel width leads to tensile failure along the exterior crease line during folding, creating cracked corners that jam automated packaging equipment.

Shear

Mechanical creasing forces internal plies of uncoated cartonboard to delaminate. As the creasing rule drives the sheet into the matrix channel, shear stress builds between the outer liner and inner fiber layers. This localized delamination forms an internal hinge, allowing the board to bend 90 or 180 degrees without fracturing outer surface fibers.

Uncoated board displays pronounced structural anisotropy, with machine direction (MD) to cross direction (CD) stiffness ratios between 1.8 and 2.5 on modern multi-ply forming lines. Creases parallel to the machine direction bend across stiff, aligned fibers, requiring precise channel depth to initiate delamination without tearing the sheet.

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Why Do Uncoated Virgin Kraft Boards Demand Wider Channels?

Long unbleached kraft fibers have higher tear resistance and elastic modulus than bleached chemical or mechanical pulps. They resist the rule’s initial shear action, pushing lateral tension onto the matrix shoulders. If the channel is too narrow, the rigid kraft plies bridge the gap instead of settling into the pocket, causing surface checking and delamination blowout.

  • Tension splitting occurs along the reverse face when matrix depth exceeds sheet caliper on low-bulk substrates.
  • Shoulder marking appears as distinct burnished tracks along the crease flank from excessive rule pressure.
  • Flaking develops on mechanical-furnish plies subjected to acute folding angles without adequate delamination width.
  • Rolling creases deviate from the die centerline due to asymmetric clearance or worn counter-channel edges.
Internal fiber delamination must occur before the outer liner reaches its critical tensile limit.

Moisture content governs fiber flexibility and delamination efficiency. Equilibrium moisture content for uncoated cartonboard under standard converting conditions ranges from 6.0 to 8.5 percent by weight. If pressroom relative humidity drops below 40 percent, uncoated board dries quickly through its exposed surface.

Channel width must immediately open by 0.05 mm to 0.10 mm to prevent dry fibers from shattering along cross-grain scores.

Raw fiber batches absorb ambient pressroom humidity within twenty minutes of unwrapping, yet dry cores remain brittle throughout long die-cutting shifts.

A digital render shows a folded paper blank resting on the rollers of a grey and black paper converting machine.

Matrix

Crease matrix materials define the accuracy and run-life of the scoring setup. Packaging converters generally choose between extruded plastic channels on steel or plastic locator bases, milled pertinax (phenolic resin) counters, and direct-milled steel counterplates. Each material offers specific dimensional tolerances that affect channel width stability over long runs.

Dimensional matrix selection chart for standard uncoated folding boxboard calipers with 2-point and 3-point rules
Board Caliper (mm) Rule Thickness (pt / mm) Channel Depth (mm) Channel Width (mm) Matrix Code
0.30 2 pt (0.71 mm) 0.30 1.15 0.3 × 1.2
0.40 2 pt (0.71 mm) 0.40 1.30 0.4 × 1.3
0.50 2 pt (0.71 mm) 0.50 1.45 0.5 × 1.5
0.60 3 pt (1.05 mm) 0.60 1.95 0.6 × 1.9
0.70 3 pt (1.05 mm) 0.70 2.10 0.7 × 2.1
0.80 3 pt (1.05 mm) 0.80 2.25 0.8 × 2.3

Pertinax counterplates provide reliable channel alignment across complex layouts with multiple intersecting scores. Milled from dense paper-reinforced phenolic laminate, pertinax holds groove profiles within plus or minus 0.02 mm over runs past 150,000 impressions. Self-adhesive pressboard or polymer matrix strips work for shorter jobs, though adhesive creep under high platen pressure can shift the channel centerline by up to 0.15 mm over an eight-hour shift.

DIN 8791 surface testing confirms that uncoated fiber roughness increases matrix channel frictional wear by twenty percent compared to clay-coated surfaces.

Setting up counter dies on flatbed platens follows a set sequence:

  1. Clean the cutting plate by wiping the ground steel surface with fast-evaporating solvent to remove oil films.
  2. Mount matrix strips onto the creasing rules using calibrated plastic locators that align the channel centerline.
  3. Peel carrier tape to expose the pressure-sensitive adhesive backing without touching the adhesive surface.
  4. Close the die press under minimal tonnage to transfer the matrix strips onto the bed in perfect register.
  5. Remove locators cleanly from the rules to clear the channel opening for the production pass.

Whether high-speed optical inspection systems can reliably detect minor channel wall erosion before visible bead asymmetry appears on the fold line remains an open question.

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Blank

Crease quality directly dictates the folding factor and opening force of finished carton blanks. The folding factor is the ratio of force required to fold a creased score line relative to the bending resistance of uncreased board. On a standard L&W Crease Tester, an optimal crease on uncoated cartonboard reduces bending resistance by 50 to 65 percent.

High-speed cartoning lines running at 40,000 to 60,000 cartons per hour tolerate very little variation in opening torque. An improperly sized crease matrix leads to either an overly stiff crease that jams carton erecters or a fractured crease that allows panels to skew during glueline compression. Skewed cartons fail barcode scans and jam downstream filling carousels.

A folding resistance value below thirty-five percent of raw board stiffness signals ply rupture rather than controlled delamination.

Evaluating carton blank performance during a production run requires regular operational checks:

  • Check opening force at regular run intervals to verify that the crease hinge does not stiffen during storage.
  • Inspect glue flap scores for fiber cracking that compromises adhesive penetration and structural bonding.
  • Measure bead symmetry with an optical gauge to detect uneven tool wear or lateral die movement.
  • Record ambient humidity on the production floor to adjust matrix channel width before seasonal fiber shifts cause line stoppages.

Consider a run of 500,000 pharmaceutical cartons converted from 350-micron uncoated solid bleached board. Selecting a 1.10 mm matrix channel instead of the calculated 1.25 mm raises carton opening force from 120 milliNewtons to 260 milliNewtons. On automated packaging equipment running at 500 packs per minute, this added torque produces an estimated 1.8 percent feeder stoppage rate.

Across 500,000 units, that error generates 9,000 jammed blanks, causing 15 hours of cumulative machine downtime along with extra waste handling costs.

Tooling engineers verify matrix calculations on CAD die files before laser-cutting die boards, setting counter-plate channels to substrate specifications to avoid pressroom adjustments during make-ready.

Nomenclature

Cross-Direction Stiffness

Material Anisotropy ~ Paper and board exhibit different resistance to bending along different axes due to the alignment of fibres during web forming.

Folding Boxboard

Caliper Profile ~ Multi-ply paperboard constructed from mechanical pulp layers sandwiched between bleached chemical pulp liners defines a layered packaging substrate engineered for high-speed folding cartons.

Machine Direction Stiffness

Structural Rigidity ~ Flexural resistance measures the ability of a paper or board sample to withstand bending forces along its primary axis.

Crease Resistance

Bending Force ~ Resistance to folding indicates the force required to bend a pre-creased paperboard sample by a specified angle.

ISO 187 Conditioning

Atmospheric Equilibrium ~ Standardised hygroscopic stabilization defines the technical requirements for paper and board samples held under specific temperature and humidity levels before mechanical testing proceeds.

Matrix Channel Width

Slotting Parameter ~ Physical constraint of the embossed matrix geometry determines the fluid flow profile across a gravure printing cylinder surface during high speed ink transfer.

Creasing Rule

Die Cutting Component ~ Metal inserts with rounded profiles are mounted in steel-rule dies to create pre-defined fold lines in paperboard.

Internal Delamination

Fiber Rupture ~ Interlayer bond failure within paperboard substrates occurs when transverse tensile stress exceeds internal ply adhesion during high speed converting operations.

Solid Bleached Sulfate

Fibre Architecture ~ Mechanical pulping damages cellulose integrity, whereas chemical digestion removes lignin completely to produce solid bleached sulfate.

Matrix Depth

Groove Geometry ~ Vertical groove dimensions in creasing matrix channels establish the space available for paperboard displacement during die-cutting scoring operations.

Platen Die Cutting

Substrate Conversion ~ Pressing a flat sheet of paperboard against a steel-rule die between two flat platens cuts out the carton blanks.

Crease Matrix

Alignment Precision ~ A polymeric sheet positioned beneath the male rule on a platen die cutter dictates the depth and width of the structural fold.

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