A general non-dimensionless analysis framework on the plastic deformation of typical plates under repeated blast loading

Abstract

This study presents a novel and general dimensionless modeling framework for calculating the midpoint displacement of monolithic/double-layered/triple-layered circular plates and welded rectangular plates subjected to repeated blast loading, addressing a critical gap in existing blast response analyses. Unlike conventional approaches that rely on the measured impulsive load, the proposed model framework explicitly incorporates the charge mass, stand-off distance, material strain effect (via Cowper–Symonds and Johnson–Cook constitutive laws), and localized blast effect. By employing singular value decomposition to calibrate empirical coefficients against experimental data, the derived empirical models from the general modeling framework achieve high calculation accuracy across diverse structural configurations and repeated blast scenarios. The comparison with other methods also validates the effectiveness and the high accuracy of the derived empirical models. This validated general model framework offers an empirically grounded tool for structural response assessment of blast-resistant structures, significantly advancing the field by bridging empirical and theoretical methodologies.