Abstract
A mechanical model for waves impinging different configurations of multiple shear bands already formed in a ductile material, allows to analyze the ways in which dynamic interactions promote failure. It is shown that the presence of more than one shear band may lead to resonance and correspondent growth of a shear band or, conversely, to its annihilation. At the same time, multiple scattering may bring about focusing or, conversely, shielding from waves. The proposed mechanical modelling, represents the only way to analyze the fine micromechanisms governing material collapse, and discloses the complex interplay between dynamics and shear band growth or arrest.
Highlights
Results of simulations unveil the complex interactions developing between multiple shear bands during wave propagation, leading in some cases to resonance, but in other cases to annihilation
This effect, which corresponds to the annihilation of a shear band, becomes clearly visible in parts (c) and (d) of the figure, where one shear band ‘disappears’, while at the same time the other is ‘reinforced’
In the case of multiple shear bands, labelled A, B, ..., Z, in order to account for the reciprocal interaction, the equation (3) has to be generalized to the following system of integral equations
Summary
A mechanical model for waves impinging different configurations of multiple shear bands already formed in a ductile material, allows to analyze the ways in which dynamic interactions promote failure. Results are restricted to high strain-rate loading, where numerical simulations[7,8,9] and experiments involving impact on prenotched plates[10,11,12] have been presented. In this context, experiments on metallic glass[13] show the development of a complex texture of multiple shear bands, with complex interactions. Results of simulations unveil the complex interactions developing between multiple shear bands during wave propagation, leading in some cases to resonance (which promotes shear band growth and coalescence), but in other cases to annihilation (which produces shear band arrest). Different geometries can lead to opposite effects, of focusing or shielding from waves, so that in the former case nucleation of a new shear band is promoted, while in the latter the material remains ‘untouched’ by the wave field
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