Blast response similarities of elastoplastic stiffened plates

The similarity rule of dynamic behaviors of multi-scale structures under blast load is still a pending issue due to lack of sufficient theoretical supports. Based on the classical beam and plate theory, this paper deduces the dynamic governing equations of elastoplastic stiffened plates under blast loads, which are subsequently used to derive the similarity numbers governing similarity behaviors, and finally give the similarity criterion and establish an effective response similarity analysis method of the problem. The present similarity analysis method is verified numerically by normalizing the response results between the prototype structure and the 1/20 scaled ones with or without material distortion, and the response similarities are fully discussed in both time and spatial domains to reveal the similarity essences.