Buckling and Post‐Buckling of Parabolic Arches with Local Damage

We investigate buckling and post-buckling of parabolic arches with crack-like damages. The latter may be simplified models of either the failure of connections of large structures and actual cracks in relatively small-size applications. We model the arch as a one-dimensional curved beam and study its fundamental and bifurcated path under reasonable kinematic and constitutive assumptions.The crack is modeled by the spring analogy and the SIFs, following the literature and previous works by the authors.