Abstract
The deformation and failure of fully-clamped rectangular plates subjected to zero-period, uniform-momentum impulsive loads are studied. Analytical predictions are given for the critical velocities corresponding to the transition between deformation modes. Three-dimensional (3D) numerical analyses were performed using the non-linear finite element (FE) code ABAQUS/Explicit® to predict the maximum central deflection and deformation mode of rectangular plates for different combinations of aspect ratios and impulses. Two competing mechanisms of bulk material failure, viz. by the nucleation, coalescence and growth of voids and by shear band localisation, are implemented in the FE model to simulate tensile tearing, resulting in progressive ductile fracture, at the support. The numerical results are validated against experimental data for square mild-steel and aluminium plates where they are found to be in good agreement. Deformation maps delineating the different deformation régimes for different combinations of blast impulse and aspect ratio are constructed for plates of equal mass. The effects of imposing a finite-period, as opposed to a zero-period, impulsive load upon the deformation mode and maximum deflection are also discussed.
Highlights
IntroductionThe classical experiment of Menkes and Opat [1] showed that the mode of deformation in a fully-clamped monolithic beam subjected to impulsive loading is dependent upon the nondimensional impulse I* and is classified according to: mode I (large inelastic deformation), mode II (tensile-tearing and deformation) and mode III (shear-band localisation)
The classical experiment of Menkes and Opat [1] showed that the mode of deformation in a fully-clamped monolithic beam subjected to impulsive loading is dependent upon the nondimensional impulse I* and is classified according to: mode I, mode II and mode III
A fully-validated finite element (FE) model has been presented which is capable of modelling the impulsive response of rectangular mild-steel plates for a wide range of aspect ratios and non-dimensional impulse I*
Summary
The classical experiment of Menkes and Opat [1] showed that the mode of deformation in a fully-clamped monolithic beam subjected to impulsive loading is dependent upon the nondimensional impulse I* and is classified according to: mode I (large inelastic deformation), mode II (tensile-tearing and deformation) and mode III (shear-band localisation). To the best of the authors’ knowledge, most the available experimental data in the literature [3e5], with the notable exception of [6], were for square plates. Hitherto, it remains unclear how aspect ratio g affects the mode of deformation in rectangular plates where g > 1. Deformation maps are constructed which allow the maximum central deflection of rectangular plates to be read off for different combinations of blast impulse and aspect ratio, and vice-versa
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