A two-stage multi-fidelity optimization procedure for honeycomb-type cellular materials

This paper presents a two-stage multi-fidelity (or named variable fidelity) method for surrogate models in honeycomb crashworthiness design. The high/low-fidelity analyses adopt fine/coarse finite element (FE) meshes, respectively. In Stage I, a correction response surface (RS) was constructed from the ratio or difference between high-fidelity and low-fidelity analyses at few sample points. In Stage II, the high-fidelity response is approximated via a radial basis function (RBF), either alone or incorporating with the correction RS model from Stage I. It is shown that the presented two-stage multi-fidelity model is more appropriate than any single-fidelity counterpart in the honeycomb optimization under the same computational cost.