Stack of laminar material for forming packages and method of use

A stack of laminar material for forming packages, the stack (S) comprising full panels (P) having a predetermined total length (W) and provided with transverse creases (C) along which said full panels (P) are folded in accordion-like pleats and comprises at least one longitudinal cut (T) on each full panel (P) to form at least two transversely adjacent stacks (S′, S″) of partial panels (P′, P″) having respective partial widths (W′, W″) which are less than said total width (W), said at least one cut (T) being incomplete, so that each partial panel (P′) of a respective stack (S′) and the partial panel (P″) of the stack (S″) adjacent thereto have at least one connecting section (J) therebetween, said connecting section (J) having a predetermined minimum length (H) for holding the partial panels (P′, P″) of the adjacent stacks (S′, S″) together, to thereby keep the adjacent stacks (S′, S″) substantially aligned while facilitating the separation of each of the partial panels (P′, P″) as they are being unwound by a pulling action from each adjacent stack (S′, S″).