In-plane instability of shallow layered arches with interlayer slip

Abstract In this paper, a beam theory for predicting limit point buckling and bifurcation of shallow arches composed two layers flexibly bonded is presented. The flexibility layer bond results in interlayer slip, which significantly affects the critical transverse loads. presented based on layerwise assumption Euler–Bernoulli linear behavior interlayer. After establishing equilibrium equations boundary conditions, numerical method efficient solution these provided. first example, validated by comparative computations with much more elaborate finite element analysis assuming plane stress state. several other examples, effect stiffness, load distribution conditions stable unstable paths slip investigated.