A new Tabor's parameter ψ is defined for adhesion-delamination of thin membranes. A small ψ corresponds to a thick, small, and stiff membrane under the influence of a long-range weak surface force, as in the Derjaguin–Muller–Toporov (DMT) limit. A large ψ corresponds to a thin, large, and flexible membrane under the influence of a short-range strong surface force, as in the Johnson–Kendall–Roberts (JKR) limit. A new adhesion map based on ψ is drawn to summarize the “pull-off” events and the delamination trajectory for membranes under mixed stretching-bending deformation. Maps are generated for one- and two-dimensional membranes clamped at the edge.