Fundamental concepts in the suppression of delamination buckling by stitching

Elementary results are presented for the buckling of stitched, laminated composites containing delamination cracks. The stitching fibers are assumed to provide continuous, linear restoring tractions opposing the deflection of the delaminated layer adjacent to the crack. It is shown that there exists a characteristic length a(0) for buckling: if the length, 2a, of the delamination crack exceeds 2a(0), then, when buckling occurs, it will consist of waves of period 2a(0) and will usually not span the whole delamination. Simple expressions are derived for the critical buckling load and the minimum stitching density required to suppress buckling of the delaminated layer.