Abstract
The ADINA program has been used with three progressively more accurate loading functions to model the dynamic response of a plate. The calculations simulated the response of a 19 mm thick aluminum plate, clamped over a circular opening 914 mm in diameter, subjected to the blast from an explosive charge suspended 645 mm over its center. The loading functions were based on prior hydrocode calculations of the detonation flow using successively refined computational grids. The influence of clamped edge conditions on the response was bracketed by allowing no sliding and frictionless sliding. Calculations were performed using a linear analysis, a material nonlinear analysis with kinematic hardening plasticity, and a combined material and geometric nonlinear analysis. The deflection histories obtained with the three methods of analysis using the three progressively refined loading functions for the two bracketing boundary conditions were compared. The response was found to be sensitive principally to the total impulse delivered to the plate, though the influence of loading details was detected. Despite a significant amount of plasticity, the deflections were predominantly influenced by the strong coupling between the membrane and transverse deformations, resulting in the response being noticeably affected by boundary modeling and indicating a need to use the geometric nonlinear method of analysis.
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