Deformative Metric
Mathematical formulations relate the axial strain within a bent beam structure to its distance from the neutral flexural axis and the radius of curvature. Paperboard physics utilizes euler bernoulli bending strain to model outer fibre deformation during scoring and folding operations. The formula governs thin beam behavior where transverse shear stresses remain small compared to axial flexural stresses.
It stops applying to thick corrugated boards where core shear deformation dominates total beam deflection.
Structural Mechanics
Linear elasticity theory dictates that surface strain increases linearly with distance from the neutral plane of the paperboard sheet. Thicker boards experience higher surface tension during folding, which causes liner cracking if material elongation limits are exceeded. Calculating euler bernoulli bending strain helps tool designers select appropriate scoring matrix widths and creasing rule thicknesses.
Adjusting creasing parameters reduces surface tensile strain by shifting the neutral axis toward the inner fold radius. Machine operators prevent outer liner fracture by maintaining strain levels below the elongation at break threshold of the substrate.
Creasing Failure
Exceeding flexural strain limits damages decorative coatings and breaks surface fibres along packaging fold lines. Proper crease geometry distributes mechanical deformation across wider zones to prevent sudden structural failure during carton assembly.