Thermodynamic Theory of Dislocation-Mediated Plasticity
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Motion of dislocations is a common mechanism of plasticity in many materials. Dislocation mediated deformation is essentially an inhomogeneous process, which is manifest in formation of persistent slip bands and complicated subgrain structures. Adiabatic shear bands, that is, high local temperature increases, characterize thermal properties of dislocation plasticity. Acoustic emissions and stress bursts turned out to be integral parts of this mechanism also. Adequate description of these processes is an important goal of Materials Theory, which aims to describe mechanical properties of materials and their reliability in service. In this presentation, I will introduce a novel approach to dislocation plasticity [1-3] capable of describing these processes, derive an equation of dislocation dynamics, and discuss computational experiments intended to model these modes of deformation in samples of various makeup and sizes. It turns out that the dislocation slip-line and cell-wall structures appear in the theory as ordinary solutions of the equilibrium equations without any arbitrary assumptions; adiabatic shear banding is related to plastic work and latent energy of the specimen; and the acoustic emission events and stress bursts self-organize into the dislocation avalanches, which propagate at a speed determined by the conditions of loading. In the compressive creep experiments the avalanches arrange into slow moving slip bands while in the shock compression experiments the avalanches move faster than sound.
